Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2016, Volume 442, Issue 2, pp. 673 - 684

In this paper, by using the methods of perturbation and the Mountain pass theorem, we prove the existence of non-trivial solution to a class of modified...

Non-trivial solution | Perturbation methods | Modified Schrödinger–Poisson | Modified Schrödinger-Poisson | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLICITY | SOLITARY WAVES | MAXWELL | Modified Schrodinger-Poisson

Non-trivial solution | Perturbation methods | Modified Schrödinger–Poisson | Modified Schrödinger-Poisson | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLICITY | SOLITARY WAVES | MAXWELL | Modified Schrodinger-Poisson

Journal Article

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 09/2017, Volume 40, Issue 14, pp. 5009 - 5017

The existence of one non‐trivial solution for a second‐order impulsive differential inclusion is established. More precisely, a recent critical point result is...

non‐smooth critical point theory | impulsive | anti‐periodic solution | differential inclusions | anti-periodic solution | non-smooth critical point theory | MATHEMATICS, APPLIED | VARIATIONAL PRINCIPLE | Eigenvalues | Inclusions | Critical point

non‐smooth critical point theory | impulsive | anti‐periodic solution | differential inclusions | anti-periodic solution | non-smooth critical point theory | MATHEMATICS, APPLIED | VARIATIONAL PRINCIPLE | Eigenvalues | Inclusions | Critical point

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 02/2017, Volume 262, Issue 3, pp. 1747 - 1776

In this paper, we establish the existence of spatially inhomogeneous classical self-similar solutions to a non-Lipschitz semi-linear parabolic Cauchy problem...

Self-similar | Semi-linear parabolic PDE | Homoclinic connection | Heteroclinic connection | Non-Lipschitz | EXISTENCE | NONEXISTENCE | SIGN CHANGES | SELF-SIMILAR SOLUTIONS | CRITICAL EXPONENTS | MATHEMATICS | SEMILINEAR PARABOLIC EQUATION | THEOREMS | HEAT-EQUATION | BLOW-UP

Self-similar | Semi-linear parabolic PDE | Homoclinic connection | Heteroclinic connection | Non-Lipschitz | EXISTENCE | NONEXISTENCE | SIGN CHANGES | SELF-SIMILAR SOLUTIONS | CRITICAL EXPONENTS | MATHEMATICS | SEMILINEAR PARABOLIC EQUATION | THEOREMS | HEAT-EQUATION | BLOW-UP

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 05/2017, Volume 262, Issue 10, pp. 4979 - 4987

In their (1968) paper Fujita and Watanabe considered the issue of uniqueness of the trivial solution of semilinear parabolic equations with respect to the...

Non-uniqueness | Osgood | Parabolic | Lower solution | Semilinear | Uniqueness | SYSTEM | MATHEMATICS | NONUNIQUENESS | HEAT-EQUATION | PRINCIPLE | INITIAL DATA

Non-uniqueness | Osgood | Parabolic | Lower solution | Semilinear | Uniqueness | SYSTEM | MATHEMATICS | NONUNIQUENESS | HEAT-EQUATION | PRINCIPLE | INITIAL DATA

Journal Article

Proceedings of the Royal Society of Edinburgh Section A: Mathematics, ISSN 0308-2105, 04/2016, Volume 146, Issue 2, pp. 337 - 369

We prove new results on the existence, non-existence, localization and multiplicity of non-trivial solutions for perturbed Hammerstein integral equations. Our...

non-trivial solution | Neumann conditions | cone | fixed-point index | EXISTENCE | HAMMERSTEIN INTEGRAL-EQUATIONS | MATHEMATICS, APPLIED | CONES | DIFFERENTIAL-EQUATIONS | FIXED-POINT THEOREM | MATHEMATICS | LINEAR-OPERATORS | MULTIPLE POSITIVE SOLUTIONS | Integral equations | Boundary value problems | Mathematics | Mathematical analysis | Boundary conditions | Topology | Criteria | Localization | Linear operators | Mathematics - Classical Analysis and ODEs

non-trivial solution | Neumann conditions | cone | fixed-point index | EXISTENCE | HAMMERSTEIN INTEGRAL-EQUATIONS | MATHEMATICS, APPLIED | CONES | DIFFERENTIAL-EQUATIONS | FIXED-POINT THEOREM | MATHEMATICS | LINEAR-OPERATORS | MULTIPLE POSITIVE SOLUTIONS | Integral equations | Boundary value problems | Mathematics | Mathematical analysis | Boundary conditions | Topology | Criteria | Localization | Linear operators | Mathematics - Classical Analysis and ODEs

Journal Article

Physics Letters A, ISSN 0375-9601, 10/2014, Volume 378, Issue 45, pp. 3285 - 3288

We consider a 1D nonlinear Schrödinger equation (NLSE) which describes the mean field dynamics of an elongated Bose–Einstein condensate and prove the existence...

Bose–Einstein condensate | Gross–Pitaevskii equation | Local continuation | Modulated amplitude wave | Non-degenerate solution | Bose-Einstein condensate | Gross-Pitaevskii equation | PHYSICS, MULTIDISCIPLINARY | SUPERLATTICES | DYNAMICS | EQUATION | Nonlinear dynamics | Amplitudes | Mathematical analysis | Bose-Einstein condensates | Solid state physics | Nonlinearity | Schroedinger equation | Elongation

Bose–Einstein condensate | Gross–Pitaevskii equation | Local continuation | Modulated amplitude wave | Non-degenerate solution | Bose-Einstein condensate | Gross-Pitaevskii equation | PHYSICS, MULTIDISCIPLINARY | SUPERLATTICES | DYNAMICS | EQUATION | Nonlinear dynamics | Amplitudes | Mathematical analysis | Bose-Einstein condensates | Solid state physics | Nonlinearity | Schroedinger equation | Elongation

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 10/2014, Volume 64, Issue 5, pp. 1249 - 1266

In this paper, employing a very recent local minimum theorem for differentiable functionals due to Bonanno, the existence of at least one nontrivial solution...

variational methods | Algebra | critical point theory | Navier boundary value problem | Mathematics, general | Mathematics | non-trivial solution | fourth order equation | Primary 35J40, 35J60 | MATHEMATICS | VARIATIONAL PRINCIPLE | NAVIER BOUNDARY-CONDITIONS | P(N))-BIHARMONIC SYSTEMS | Differential equations

variational methods | Algebra | critical point theory | Navier boundary value problem | Mathematics, general | Mathematics | non-trivial solution | fourth order equation | Primary 35J40, 35J60 | MATHEMATICS | VARIATIONAL PRINCIPLE | NAVIER BOUNDARY-CONDITIONS | P(N))-BIHARMONIC SYSTEMS | Differential equations

Journal Article

Discrete and Continuous Dynamical Systems, ISSN 1078-0947, 09/2011, Volume 31, Issue 1, pp. 35 - 64

The aim of the paper is to provide conditions ensuring the existence of non-trivial non-negative periodic solutions to a system of doubly degenerate parabolic...

Non-negative periodic solu-tions | Topological degree | Doubly degenerate parabolic equations | topological degree | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | P-LAPLACIAN | non-negative periodic solutions | DIFFUSION | MODEL

Non-negative periodic solu-tions | Topological degree | Doubly degenerate parabolic equations | topological degree | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | P-LAPLACIAN | non-negative periodic solutions | DIFFUSION | MODEL

Journal Article

Journal of Design Research, ISSN 1748-3050, 2012, Volume 10, Issue 4, pp. 258 - 268

The paper at hand provides a procedural analysis of Swiss architectural competitions against the background of complexity theory. In its analysis, this paper...

Ethnography | Architectural competition | Non-trivial machine | NTM | ANT | Procedural analysis | Jury session | Switzerland | Actor-network theory | Honourable mention | Competition | Design engineering | Solution space | Architecture | Boards | Integrals | Complexity theory

Ethnography | Architectural competition | Non-trivial machine | NTM | ANT | Procedural analysis | Jury session | Switzerland | Actor-network theory | Honourable mention | Competition | Design engineering | Solution space | Architecture | Boards | Integrals | Complexity theory

Journal Article

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, ISSN 1224-1784, 2019, Volume 27, Issue 1, pp. 141 - 168

In this paper, we deal with the existence of at least one and of at least two positive solutions as well the uniqueness of a positive solution for an...

Critical point theory | Non trivial solution | Variational methods | Discrete nonlinear boundary value problem | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLE SOLUTIONS | DISCRETE | BOUNDARY-VALUE-PROBLEMS | NONTRIVIAL SOLUTIONS

Critical point theory | Non trivial solution | Variational methods | Discrete nonlinear boundary value problem | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLE SOLUTIONS | DISCRETE | BOUNDARY-VALUE-PROBLEMS | NONTRIVIAL SOLUTIONS

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 11/2017, Volume 34, Issue 23, p. 235003

We study a large family of metric-affine theories with a projective symmetry, including non-minimally coupled matter fields which respect this invariance. The...

modified gravity | non-minimal couplings | metric-affine theories | torsion | QUANTUM SCIENCE & TECHNOLOGY | GENERAL-RELATIVITY | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | INFELD DETERMINANTAL GRAVITY | PHYSICS, PARTICLES & FIELDS

modified gravity | non-minimal couplings | metric-affine theories | torsion | QUANTUM SCIENCE & TECHNOLOGY | GENERAL-RELATIVITY | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | INFELD DETERMINANTAL GRAVITY | PHYSICS, PARTICLES & FIELDS

Journal Article

Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, 10/2009, Volume 52, Issue 3, pp. 679 - 688

We consider the existence of three non-trivial smooth solutions for nonlinear elliptic problems driven by the p-Laplacian. Using variational arguments, coupled...

Truncations | Non-trivial solutions | P-Laplacian | Upper and lower solutions | Nonlinear regularity | Critical groups | EXISTENCE | MATHEMATICS | p-Laplacian | MULTIPLE SOLUTIONS | nonlinear regularity | critical groups | LINEAR ELLIPTIC-EQUATIONS | non-trivial solutions | truncations | upper and lower solutions | Nonlinear equations | Mathematics

Truncations | Non-trivial solutions | P-Laplacian | Upper and lower solutions | Nonlinear regularity | Critical groups | EXISTENCE | MATHEMATICS | p-Laplacian | MULTIPLE SOLUTIONS | nonlinear regularity | critical groups | LINEAR ELLIPTIC-EQUATIONS | non-trivial solutions | truncations | upper and lower solutions | Nonlinear equations | Mathematics

Journal Article

Complex Variables and Elliptic Equations: Nonlinear Elliptic Equations and their Applications, ISSN 1747-6933, 05/2010, Volume 55, Issue 5-6, pp. 573 - 579

We obtain multiple non-trivial solutions of the Neumann problem for p-Laplacian systems using Morse theory.

p-Laplacian systems | multiple non-trivial solutions | Morse theory | indefinite weights | Neumann problem | non-linear eigenvalue problems | secondary 47J10 | cohomological index | non-trivial critical groups | primary 35J50 | Non-linear eigenvalue problems | Indefinite weights | Cohomological index | Multiple non-trivial solutions | Non-trivial critical groups | EXISTENCE | MATHEMATICS | Studies

p-Laplacian systems | multiple non-trivial solutions | Morse theory | indefinite weights | Neumann problem | non-linear eigenvalue problems | secondary 47J10 | cohomological index | non-trivial critical groups | primary 35J50 | Non-linear eigenvalue problems | Indefinite weights | Cohomological index | Multiple non-trivial solutions | Non-trivial critical groups | EXISTENCE | MATHEMATICS | Studies

Journal Article

Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, 2019, Volume 62, Issue 3, pp. 747 - 769

We prove new results on the existence, non-existence, localization and multiplicity of non-trivial radial solutions of a system of elliptic boundary value...

elliptic system | non-trivial solution | nonlinear functional boundary conditions | fixed point index | cone | EXISTENCE | HAMMERSTEIN INTEGRAL-EQUATIONS | SEMILINEAR DIFFERENTIAL-EQUATIONS | MULTIPLICITY | POSITIVE SOLUTIONS | BOUNDARY-VALUE-PROBLEMS | NONTRIVIAL SOLUTIONS | SEMIPOSITONE PROBLEMS | NONNEGATIVE SOLUTIONS | MATHEMATICS | SYMMETRY | Domains | Boundary conditions | Fixed points (mathematics) | Boundary value problems

elliptic system | non-trivial solution | nonlinear functional boundary conditions | fixed point index | cone | EXISTENCE | HAMMERSTEIN INTEGRAL-EQUATIONS | SEMILINEAR DIFFERENTIAL-EQUATIONS | MULTIPLICITY | POSITIVE SOLUTIONS | BOUNDARY-VALUE-PROBLEMS | NONTRIVIAL SOLUTIONS | SEMIPOSITONE PROBLEMS | NONNEGATIVE SOLUTIONS | MATHEMATICS | SYMMETRY | Domains | Boundary conditions | Fixed points (mathematics) | Boundary value problems

Journal Article

Journal of Difference Equations and Applications, ISSN 1023-6198, 10/2017, Volume 23, Issue 10, pp. 1652 - 1669

In the present paper, by using variational method, the existence of non-trivial solutions to an anisotropic discrete non-linear problem involving...

variational methods | 34B15 | 35B38 | critical point theory | Discrete nonlinear boundary value problem | non trivial solution | 47A75 | MATHEMATICS, APPLIED | 65Q10 | MULTIPLICITY | POSITIVE SOLUTIONS | BOUNDARY-VALUE-PROBLEMS | NONTRIVIAL SOLUTIONS | NEUMANN PROBLEMS | DISCRETE | ELLIPTIC-EQUATIONS | Dirichlet problem | Boundary conditions | Laplace transforms | Functionals | Anisotropy

variational methods | 34B15 | 35B38 | critical point theory | Discrete nonlinear boundary value problem | non trivial solution | 47A75 | MATHEMATICS, APPLIED | 65Q10 | MULTIPLICITY | POSITIVE SOLUTIONS | BOUNDARY-VALUE-PROBLEMS | NONTRIVIAL SOLUTIONS | NEUMANN PROBLEMS | DISCRETE | ELLIPTIC-EQUATIONS | Dirichlet problem | Boundary conditions | Laplace transforms | Functionals | Anisotropy

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2015, Volume 423, Issue 2, pp. 1370 - 1399

In this paper, the one-dimensional generalized Gross–Pitaevskii (GP) equation with the varying external potential and source which plays an important role in...

The generalized Gross–Pitaevskii equation | Varying source | Non-trivial phase solutions | Solitary wave solutions | Periodic wave solutions | Bose–Einstein condensates | Bose-Einstein condensates | The generalized Gross-Pitaevskii equation | GASES | MATHEMATICS, APPLIED | SOLITARY | NONLINEAR SCHRODINGER-EQUATION | BOSE-EINSTEIN CONDENSATION | VORTEX | MATHEMATICS | SOLITONS

The generalized Gross–Pitaevskii equation | Varying source | Non-trivial phase solutions | Solitary wave solutions | Periodic wave solutions | Bose–Einstein condensates | Bose-Einstein condensates | The generalized Gross-Pitaevskii equation | GASES | MATHEMATICS, APPLIED | SOLITARY | NONLINEAR SCHRODINGER-EQUATION | BOSE-EINSTEIN CONDENSATION | VORTEX | MATHEMATICS | SOLITONS

Journal Article

Boundary Value Problems, ISSN 1687-2762, 12/2016, Volume 2016, Issue 1, pp. 1 - 11

This paper is concerned with the following Schrödinger-Kirchhoff-Poisson system: { − ( a + b ∫ Ω | ∇ u | 2 d x ) △ u + λ ϕ u = η f ( x , u ) + u 5 , in Ω , −...

35B38 | 35G99 | Mathematics | non-trivial solution | Schrödinger-Kirchhoff-Poisson system | variational methods | Ordinary Differential Equations | mountain pass theorem | Analysis | Difference and Functional Equations | Approximations and Expansions | Mathematics, general | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLE SOLUTIONS | Schrodinger-Kirchhoff-Poisson system | POSITIVE SOLUTIONS | 4TH-ORDER ELLIPTIC-EQUATIONS | GROUND-STATE SOLUTIONS | Paper | Texts | Nonlinearity | Boundary value problems | Variational methods | Mathematical analysis

35B38 | 35G99 | Mathematics | non-trivial solution | Schrödinger-Kirchhoff-Poisson system | variational methods | Ordinary Differential Equations | mountain pass theorem | Analysis | Difference and Functional Equations | Approximations and Expansions | Mathematics, general | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLE SOLUTIONS | Schrodinger-Kirchhoff-Poisson system | POSITIVE SOLUTIONS | 4TH-ORDER ELLIPTIC-EQUATIONS | GROUND-STATE SOLUTIONS | Paper | Texts | Nonlinearity | Boundary value problems | Variational methods | Mathematical analysis

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 2010, Volume 249, Issue 11, pp. 2921 - 2953

In this paper we are interested in the existence of a principal eigenfunction of a nonlocal operator which appears in the description of various phenomena...

Non-trivial solution | Principal eigenvalue | Nonlocal diffusion operators | Asymptotic behaviour | EIGENVALUE | Non local diffusion operators | MAXIMUM PRINCIPLE | TRAVELING FRONTS | PHASE-TRANSITIONS | SEED DISPERSAL | MODEL | UNIQUENESS | MATHEMATICS | 2ND-ORDER ELLIPTIC-OPERATORS | EVOLUTION | DIFFUSION-EQUATIONS | Analysis of PDEs | Mathematics | Classical Analysis and ODEs

Non-trivial solution | Principal eigenvalue | Nonlocal diffusion operators | Asymptotic behaviour | EIGENVALUE | Non local diffusion operators | MAXIMUM PRINCIPLE | TRAVELING FRONTS | PHASE-TRANSITIONS | SEED DISPERSAL | MODEL | UNIQUENESS | MATHEMATICS | 2ND-ORDER ELLIPTIC-OPERATORS | EVOLUTION | DIFFUSION-EQUATIONS | Analysis of PDEs | Mathematics | Classical Analysis and ODEs

Journal Article

19.
Full Text
Auto-parametric semi-trivial and post-critical response of a spherical pendulum damper

Computers and Structures, ISSN 0045-7949, 2009, Volume 87, Issue 19, pp. 1204 - 1215

The pendulum vibration damper modelled as a two degree of freedom strongly non-linear auto-parametric system is investigated. A kinematic external excitation...

Spherical pendulum | Non-linear vibration | Auto-parametric systems | Bifurcation points | Asymptotic methods | Dynamic stability | SYSTEM | STABILITY | VIBRATIONS | NOISES | DESIGN FORMULAS | TUNED MASS DAMPERS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, CIVIL

Spherical pendulum | Non-linear vibration | Auto-parametric systems | Bifurcation points | Asymptotic methods | Dynamic stability | SYSTEM | STABILITY | VIBRATIONS | NOISES | DESIGN FORMULAS | TUNED MASS DAMPERS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, CIVIL

Journal Article

Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 04/2015, Volume 35, Issue 4, pp. 1421 - 1446

In this paper, we analyse the structure of the set of positive solutions of an heterogeneous nonlocal equation of the form: integral(Omega) K(x, y)u(y) dy -...

Partially controlled refuge model | Principal eigenvalue | Non trivial solution | Nonlocal diffusion operators | Asymptotic behaviour | NONTARGET LEPIDOPTERA | MATHEMATICS, APPLIED | DIFFUSIVE LOGISTIC EQUATIONS | POSITIVE SOLUTIONS | asymptotic behaviour | principal eigenvalue | DISRUPTED ENVIRONMENTS | DISPERSAL | MATHEMATICS | POPULATION-MODELS | MATHEMATICAL-MODEL | non trivial solution | partially controlled refuge model | BT-MAIZE POLLEN | INDEFINITE WEIGHTS

Partially controlled refuge model | Principal eigenvalue | Non trivial solution | Nonlocal diffusion operators | Asymptotic behaviour | NONTARGET LEPIDOPTERA | MATHEMATICS, APPLIED | DIFFUSIVE LOGISTIC EQUATIONS | POSITIVE SOLUTIONS | asymptotic behaviour | principal eigenvalue | DISRUPTED ENVIRONMENTS | DISPERSAL | MATHEMATICS | POPULATION-MODELS | MATHEMATICAL-MODEL | non trivial solution | partially controlled refuge model | BT-MAIZE POLLEN | INDEFINITE WEIGHTS

Journal Article

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