Computers and Mathematics with Applications, ISSN 0898-1221, 05/2018, Volume 75, Issue 9, pp. 3358 - 3366

This paper is concerned with the following Klein–Gordon–Maxwell system: −△u+V(x)u−(2ω+ϕ)ϕu=f(x,u),x∈R3,△ϕ=(ω+ϕ)u2,x∈R3,where ω>0 is a constant, V∈C(R3,R),...

Klein–Gordon–Maxwell system | Infinitely many solutions | Least energy solutions | Sign-changing potential | EXISTENCE | MATHEMATICS, APPLIED | NONEXISTENCE | SOLITARY WAVES | EQUATIONS | Klein-Gordon-Maxwell system | GROUND-STATE SOLUTIONS | POTENTIALS

Klein–Gordon–Maxwell system | Infinitely many solutions | Least energy solutions | Sign-changing potential | EXISTENCE | MATHEMATICS, APPLIED | NONEXISTENCE | SOLITARY WAVES | EQUATIONS | Klein-Gordon-Maxwell system | GROUND-STATE SOLUTIONS | POTENTIALS

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2016, Volume 2016, Issue 1, pp. 1 - 19

Based on variational methods and critical point theory, the existence of infinitely many classical solutions for impulsive nonlinear fractional boundary value...

34B37 | 58E05 | critical point theory | classical solution | 26A33 | fractional differential equation | Mathematics | 34A08 | variational methods | infinitely many solutions | Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | 58E30 | impulsive condition | Partial Differential Equations | RIEMANN-LIOUVILLE | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLE SOLUTIONS | DIFFERENTIAL-EQUATIONS | Nonlinearity | Boundary value problems | Critical point | Difference equations | Variational methods | Mathematical analysis

34B37 | 58E05 | critical point theory | classical solution | 26A33 | fractional differential equation | Mathematics | 34A08 | variational methods | infinitely many solutions | Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | 58E30 | impulsive condition | Partial Differential Equations | RIEMANN-LIOUVILLE | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLE SOLUTIONS | DIFFERENTIAL-EQUATIONS | Nonlinearity | Boundary value problems | Critical point | Difference equations | Variational methods | Mathematical analysis

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/2015, Volume 428, Issue 2, pp. 1054 - 1069

In this paper, we are concerned with the following Schrödinger–Kirchhoff-type problem:(P){−(a+b∫RN|∇u|pdx)p−1Δpu+λV(x)|u|p−2u=f(x,u),x∈RN,u∈W1,p(RN), where...

P-Laplacian | Infinitely many solutions | Schrödinger–Kirchhoff-type | Schrödinger-Kirchhoff-type | MATHEMATICS | MATHEMATICS, APPLIED | R-N | STATES | Schrodinger-Kirchhoff-type | POSITIVE SOLUTIONS | ELLIPTIC EQUATION

P-Laplacian | Infinitely many solutions | Schrödinger–Kirchhoff-type | Schrödinger-Kirchhoff-type | MATHEMATICS | MATHEMATICS, APPLIED | R-N | STATES | Schrodinger-Kirchhoff-type | POSITIVE SOLUTIONS | ELLIPTIC EQUATION

Journal Article

Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 01/2018, Volume 35, Issue 1, pp. 65 - 100

We investigate the existence and properties of Lipschitz solutions for some forward–backward parabolic equations in all dimensions. Our main approach to...

Partial differential inclusions | Convex integration | Infinitely many Lipschitz solutions | Baire's category method | Forward–backward parabolic equations | EXISTENCE | MATHEMATICS, APPLIED | ENERGY | PERONA-MALIK EQUATION | Forward-backward parabolic equations | DIFFERENTIAL INCLUSION | DIFFUSION-EQUATIONS | WEAK SOLUTIONS | YOUNG MEASURE SOLUTIONS

Partial differential inclusions | Convex integration | Infinitely many Lipschitz solutions | Baire's category method | Forward–backward parabolic equations | EXISTENCE | MATHEMATICS, APPLIED | ENERGY | PERONA-MALIK EQUATION | Forward-backward parabolic equations | DIFFERENTIAL INCLUSION | DIFFUSION-EQUATIONS | WEAK SOLUTIONS | YOUNG MEASURE SOLUTIONS

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 02/2019, Volume 88, pp. 21 - 27

This paper is concerned with a gauged nonlinear Schrödinger equation −Δu+ωu+h2(|x|)|x|2+∫|x|∞h(s)su2(s)dsu=f(|x|,u)inR2.Under some suitable conditions on the...

Infinitely many solutions | Gauged Schrödinger equation | Superlinear | Variational methods | SYSTEM | MATHEMATICS, APPLIED | Gauged Schrodinger equation | STANDING WAVES

Infinitely many solutions | Gauged Schrödinger equation | Superlinear | Variational methods | SYSTEM | MATHEMATICS, APPLIED | Gauged Schrodinger equation | STANDING WAVES

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 03/2017, Volume 151, pp. 126 - 144

This paper is concerned the existence of infinitely many solutions for perturbed sublinear indefinite elliptic equations involving the nonlocal operator. By...

Infinitely many solutions | Nonlocal operator | Broken symmetry | Sublinear indefinite elliptic equation | Rabinowitz’s perturbation method | Rabinowitz's perturbation method | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLE SOLUTIONS | CRITICAL-POINTS

Infinitely many solutions | Nonlocal operator | Broken symmetry | Sublinear indefinite elliptic equation | Rabinowitz’s perturbation method | Rabinowitz's perturbation method | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLE SOLUTIONS | CRITICAL-POINTS

Journal Article

Complex Variables and Elliptic Equations, ISSN 1747-6933, 12/2019, Volume 64, Issue 12, pp. 2077 - 2090

In this paper, we prove the existence of infinitely many solutions and least energy solutions for the following nonhomogeneous Klein-Gordon equation coupled...

35J65 | Infinitely many solutions | 35J20 | Born-Infeld theory | Klein-Gordon equation | least energy solution | MATHEMATICS | MAXWELL SYSTEMS | Formulas (mathematics)

35J65 | Infinitely many solutions | 35J20 | Born-Infeld theory | Klein-Gordon equation | least energy solution | MATHEMATICS | MAXWELL SYSTEMS | Formulas (mathematics)

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 09/2019, Volume 186, pp. 33 - 54

In this paper, we consider the following nonlinear Kirchhoff type problem: −a+b∫R3|∇u|2Δu+V(x)u=f(u),inR3,u∈H1(R3),where a,b>0 are constants, the nonlinearity...

Kirchhoff type problems | Infinitely many sign-changing solutions | Invariant sets | Descending flow | Nonlinearity | Minimax technique | Infinity | Coercivity

Kirchhoff type problems | Infinitely many sign-changing solutions | Invariant sets | Descending flow | Nonlinearity | Minimax technique | Infinity | Coercivity

Journal Article

COMPUTERS & MATHEMATICS WITH APPLICATIONS, ISSN 0898-1221, 12/2016, Volume 72, Issue 12, pp. 2900 - 2907

In this article, we consider a class of superlinear Kirchhoff-type equations with critical growth [GRAPHICS] where lambda, mu > 0, N >= 4, 2 <= q < 2*, 2* =...

Kirchhoff-type equation | MATHEMATICS, APPLIED | Positive solutions | CRITICAL GROWTH | Infinitely many solutions | Critical exponent | Variational method | GROUND-STATE SOLUTIONS

Kirchhoff-type equation | MATHEMATICS, APPLIED | Positive solutions | CRITICAL GROWTH | Infinitely many solutions | Critical exponent | Variational method | GROUND-STATE SOLUTIONS

Journal Article

Boundary Value Problems, ISSN 1687-2762, 2012, Volume 2012, Issue 1, pp. 1 - 10

We investigate the existence of infinitely many weak solutions for a class of Neumann quasilinear elliptic systems driven by a (p(1), ..., p(n))-Laplacian...

Infinitely many solutions | Critical point theory | Neumann system | Variational methods | variational methods | EXISTENCE | MATHEMATICS | infinitely many solutions | MATHEMATICS, APPLIED | critical point theory | EQUATIONS | DIFFERENTIAL INCLUSION PROBLEM | DRIVEN | Usage | Research | Mathematical research | Methods | Differential equations | Laplacian operator | Operators | Boundary value problems | Theorems | Critical point | Mathematical analysis | Classification

Infinitely many solutions | Critical point theory | Neumann system | Variational methods | variational methods | EXISTENCE | MATHEMATICS | infinitely many solutions | MATHEMATICS, APPLIED | critical point theory | EQUATIONS | DIFFERENTIAL INCLUSION PROBLEM | DRIVEN | Usage | Research | Mathematical research | Methods | Differential equations | Laplacian operator | Operators | Boundary value problems | Theorems | Critical point | Mathematical analysis | Classification

Journal Article

Nonlinearity, ISSN 0951-7715, 01/2016, Volume 29, Issue 2, pp. 357 - 374

The aim of this paper is to establish the multiplicity of weak solutions for a Kirchhoff-type problem driven by a fractional p-Laplacian operator with...

symmetric mountain pass theorem | fractional p-Laplacian | infinitely many solutions | genus theory | Kirchhoff-type problem | EXISTENCE | MATHEMATICS, APPLIED | MULTIPLICITY | EXPONENT | PHYSICS, MATHEMATICAL | NONLOCAL OPERATORS | Mountains | Operators | Dirichlet problem | Texts | Nonlinearity | Boundary conditions | Boundaries | Symmetry

symmetric mountain pass theorem | fractional p-Laplacian | infinitely many solutions | genus theory | Kirchhoff-type problem | EXISTENCE | MATHEMATICS, APPLIED | MULTIPLICITY | EXPONENT | PHYSICS, MATHEMATICAL | NONLOCAL OPERATORS | Mountains | Operators | Dirichlet problem | Texts | Nonlinearity | Boundary conditions | Boundaries | Symmetry

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 03/2019, Volume 89, pp. 22 - 27

This paper discusses the quasilinear Schrödinger equation −Δu+V(x)u−Δ[(1+u2)12]u2(1+u2)12=K(x)f(u),x∈RN,where N⩾3. Under appropriate assumptions on the...

Infinitely many nontrivial solutions | Local sublinear term | Variational methods | Quasilinear Schrödinger equation | MATHEMATICS, APPLIED | SOLITON-SOLUTIONS | THEOREM | Quasilinear Schrodinger equation

Infinitely many nontrivial solutions | Local sublinear term | Variational methods | Quasilinear Schrödinger equation | MATHEMATICS, APPLIED | SOLITON-SOLUTIONS | THEOREM | Quasilinear Schrodinger equation

Journal Article

JOURNAL OF MATHEMATICAL ECONOMICS, ISSN 0304-4068, 10/2019, Volume 84, pp. 94 - 100

Inspired by Zhao (1992), we first define the hybrid solution of games with nonordered preferences and prove its existence theorem in Hausdorff topological...

(Weak) hybrid solution | Infinitely many players | NORMAL-FORM GAMES | EQUILIBRIUM EXISTENCE | Open graph L-majorized game | CORE EXISTENCE THEOREM | EXCHANGE ECONOMIES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ALPHA-CORE | NONEMPTINESS | Nonordered preferences | MAXIMAL ELEMENTS | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | Existence | Business schools | Generalizations | Theorems | Solution strengthening | Existence theorems | Games | Topology | Vector spaces | Preferences | Game theory

(Weak) hybrid solution | Infinitely many players | NORMAL-FORM GAMES | EQUILIBRIUM EXISTENCE | Open graph L-majorized game | CORE EXISTENCE THEOREM | EXCHANGE ECONOMIES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ALPHA-CORE | NONEMPTINESS | Nonordered preferences | MAXIMAL ELEMENTS | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | Existence | Business schools | Generalizations | Theorems | Solution strengthening | Existence theorems | Games | Topology | Vector spaces | Preferences | Game theory

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 07/2019, Volume 93, pp. 1 - 7

This paper is concerned with the following Kirchhoff type problems (0.1)−(a+b∫Ω|∇u|2dx)Δu=λ|u|q−2u+|u|p−2u,x∈Ω,u=0,x∈∂Ω,where constants a,b>0, the parameter...

Kirchhoff type problems | Infinitely many solutions | Bound states | Genus | EXISTENCE | MATHEMATICS, APPLIED | MULTIPLICITY | CONCAVE | POSITIVE SOLUTIONS | EQUATIONS

Kirchhoff type problems | Infinitely many solutions | Bound states | Genus | EXISTENCE | MATHEMATICS, APPLIED | MULTIPLICITY | CONCAVE | POSITIVE SOLUTIONS | EQUATIONS

Journal Article

Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 12/2016, Volume 32, pp. 242 - 259

In this paper, under some superquadratic conditions made on the nonlinearity f, we use variational approaches to establish the existence of infinitely many...

Infinitely many solutions | Soliton solution | Quasilinear Schrödinger equation | ([formula omitted])-Laplacian | (p,q)-Laplacian | REACTION-DIFFUSION EQUATIONS | SCHRODINGER-EQUATIONS | EXISTENCE | MATHEMATICS, APPLIED | (p, q)-Laplacian | SOLITON-SOLUTIONS | POSITIVE SOLUTIONS | Quasilinear Schrodinger equation | Q-LAPLACIAN

Infinitely many solutions | Soliton solution | Quasilinear Schrödinger equation | ([formula omitted])-Laplacian | (p,q)-Laplacian | REACTION-DIFFUSION EQUATIONS | SCHRODINGER-EQUATIONS | EXISTENCE | MATHEMATICS, APPLIED | (p, q)-Laplacian | SOLITON-SOLUTIONS | POSITIVE SOLUTIONS | Quasilinear Schrodinger equation | Q-LAPLACIAN

Journal Article

Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 08/2016, Volume 30, pp. 236 - 247

In this paper we are devoted to a time-independent fractional Schrödinger equation (−Δ)αu+V(x)u=f(x,u)in RN, where (−Δ)α stands for the fractional Laplacian...

Infinitely many solutions | Fractional Laplacian | Nonlinear Schrödinger equation | EXISTENCE | MATHEMATICS, APPLIED | Nonlinear Schrodinger equation | Supports | Asymptotic properties | Images | Nonlinearity | Complement | Schroedinger equation | Stands

Infinitely many solutions | Fractional Laplacian | Nonlinear Schrödinger equation | EXISTENCE | MATHEMATICS, APPLIED | Nonlinear Schrodinger equation | Supports | Asymptotic properties | Images | Nonlinearity | Complement | Schroedinger equation | Stands

Journal Article

International Journal of Bifurcation and Chaos, ISSN 0218-1274, 09/2014, Volume 24, Issue 9, pp. 1450118 - 1-1450118-28

A wide variety of intricate dynamics may be created at border-collision bifurcations of piecewise-smooth maps, where a fixed point collides with a surface at...

infinitely many attractors | Border-collision bifurcation | nonsmooth | piecewise-linear | UNPREDICTABILITY | BIFURCATIONS | CONTINUOUS-MAPS | MULTIDISCIPLINARY SCIENCES | MULTISTABILITY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | RESONANCE | PIECEWISE-SMOOTH SYSTEMS | DYNAMICS | HOMOCLINIC ORBITS | Maps | Decay rate | Scaling laws | Eigenvalues | Bifurcations | Eigenvectors | Orbits | Two dimensional

infinitely many attractors | Border-collision bifurcation | nonsmooth | piecewise-linear | UNPREDICTABILITY | BIFURCATIONS | CONTINUOUS-MAPS | MULTIDISCIPLINARY SCIENCES | MULTISTABILITY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | RESONANCE | PIECEWISE-SMOOTH SYSTEMS | DYNAMICS | HOMOCLINIC ORBITS | Maps | Decay rate | Scaling laws | Eigenvalues | Bifurcations | Eigenvectors | Orbits | Two dimensional

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 11/2015, Volume 270, pp. 794 - 801

In this paper, we study a class of damped vibration problems with superquadratic terms at infinity. By using variational methods, we obtain infinitely many...

Superquadratic | Infinitely many nontrivial periodic solutions | Variational methods | Damped vibration problems | MATHEMATICS, APPLIED | THEOREMS

Superquadratic | Infinitely many nontrivial periodic solutions | Variational methods | Damped vibration problems | MATHEMATICS, APPLIED | THEOREMS

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 11/2018, Volume 291, Issue 16, pp. 2476 - 2488

In this paper, we study a class of sublinear or superlinear p(x)‐Laplacian equations in RN. Some new criteria to guarantee that the existence of multiple...

Morse theory | 35D05 | 58E05 | symmetric version of mountain pass lemma | 35J60 | 35J92 | sign‐changing potential | p(x)‐Laplacian equations | infinitely many nontrivial solutions | p(x)-Laplacian equations | sign-changing potential | Registered nurses

Morse theory | 35D05 | 58E05 | symmetric version of mountain pass lemma | 35J60 | 35J92 | sign‐changing potential | p(x)‐Laplacian equations | infinitely many nontrivial solutions | p(x)-Laplacian equations | sign-changing potential | Registered nurses

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 01/2014, Volume 94, pp. 171 - 184

We consider the perturbed nonlinear elliptic system as following {−Δuj+λjuj=∑i=12βijui2uj+αj(x),uj∈H01(Ω),j=1,2, where Ω is a bounded smooth domain in RN(N≤3)...

Bose–Einstein system | Infinitely many solutions | Perturbed symmetric | Minimax methods | Bose-Einstein system | MORSE INDEXES | MATHEMATICS, APPLIED | NONLINEAR SCHRODINGER-EQUATIONS | MULTIPLE CRITICAL-POINTS | MATHEMATICS | R-N | WAVES | SYMMETRY | ELLIPTIC-SYSTEMS | FUNCTIONALS

Bose–Einstein system | Infinitely many solutions | Perturbed symmetric | Minimax methods | Bose-Einstein system | MORSE INDEXES | MATHEMATICS, APPLIED | NONLINEAR SCHRODINGER-EQUATIONS | MULTIPLE CRITICAL-POINTS | MATHEMATICS | R-N | WAVES | SYMMETRY | ELLIPTIC-SYSTEMS | FUNCTIONALS

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.