Nonlinear Analysis, ISSN 0362-546X, 01/2020, Volume 190, p. 111604

Consider the nonlinear scalar field equation (0.1)−Δu=f(u)inRN,u∈H1(RN),where N≥3 and f satisfies the general Berestycki–Lions conditions. We are interested in...

Nonradial solutions | Monotonicity trick | Nonlinear scalar field equations | Berestycki–Lions nonlinearity | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | KIRCHHOFF-TYPE EQUATION | SCHRODINGER-EQUATION | STANDING WAVES | Berestycki-Lions nonlinearity | MOUNTAIN-PASS | Mountains | Nonlinearity | Nonlinear equations | Critical point

Nonradial solutions | Monotonicity trick | Nonlinear scalar field equations | Berestycki–Lions nonlinearity | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | KIRCHHOFF-TYPE EQUATION | SCHRODINGER-EQUATION | STANDING WAVES | Berestycki-Lions nonlinearity | MOUNTAIN-PASS | Mountains | Nonlinearity | Nonlinear equations | Critical point

Journal Article

Nonlinearity, ISSN 0951-7715, 02/2013, Volume 26, Issue 2, pp. 479 - 494

This paper focuses on the following scalar field equation involving a fractional Laplacian: (-Delta)(alpha)u = g(u) in R-N, where N >= 2, alpha is an element...

MOUNTAIN PASS | EXISTENCE | MATHEMATICS, APPLIED | R-N | REGULARITY | BOUNDARY | PHYSICS, MATHEMATICAL | Minimax technique | Supports | Mathematical analysis | Scalars | Nonlinearity | Ground state | Stands

MOUNTAIN PASS | EXISTENCE | MATHEMATICS, APPLIED | R-N | REGULARITY | BOUNDARY | PHYSICS, MATHEMATICAL | Minimax technique | Supports | Mathematical analysis | Scalars | Nonlinearity | Ground state | Stands

Journal Article

NONLINEARITY, ISSN 0951-7715, 12/2019, Volume 32, Issue 12, pp. 4942 - 4966

We study the following nonlinear scalar field equation {-Delta u -f(u) - mu u in R-N, parallel to u parallel to(2)(L2(RN)) = m, u is an element of H-1(R-N)....

SCHRODINGER-EQUATIONS | EXISTENCE | MATHEMATICS, APPLIED | L-2-subcritical case | nonradial solutions | STABILITY | CALCULUS | CONCENTRATION-COMPACTNESS PRINCIPLE | STANDING WAVES | PHYSICS, MATHEMATICAL | nonlinear scalar field equations | SYMMETRY | sign-changing solutions | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics

SCHRODINGER-EQUATIONS | EXISTENCE | MATHEMATICS, APPLIED | L-2-subcritical case | nonradial solutions | STABILITY | CALCULUS | CONCENTRATION-COMPACTNESS PRINCIPLE | STANDING WAVES | PHYSICS, MATHEMATICAL | nonlinear scalar field equations | SYMMETRY | sign-changing solutions | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 03/2020, Volume 404, p. 109088

•Extension of the generalized Lagrangian multiplier (GLM) approach to curl-type involutions.•First order reduction of the CCZ4 formulation of the Einstein...

Generalized Lagrangian multiplier approach (GLM) | Stable neutron star in anti-Cowling approximation | Einstein field equations with matter source terms | First order reduction of the CCZ4 system (FO-CCZ4) | Hyperbolic PDE systems with curl involutions | HLLC RIEMANN SOLVER | MHD | PHYSICS, MATHEMATICAL | HYPERBOLIC FORMULATION | MAXWELLS EQUATIONS | DIVERGENCE-FREE | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ORDER ADER SCHEMES | CONTINUUM-MECHANICS | CONSERVATION-LAWS | UNSTRUCTURED MESHES | FINITE-VOLUME SCHEMES | Reduction | Einstein equations | Neutron stars | Divergence | Cowlings | Relativity | Scalars | Stellar evolution | Topology

Generalized Lagrangian multiplier approach (GLM) | Stable neutron star in anti-Cowling approximation | Einstein field equations with matter source terms | First order reduction of the CCZ4 system (FO-CCZ4) | Hyperbolic PDE systems with curl involutions | HLLC RIEMANN SOLVER | MHD | PHYSICS, MATHEMATICAL | HYPERBOLIC FORMULATION | MAXWELLS EQUATIONS | DIVERGENCE-FREE | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | ORDER ADER SCHEMES | CONTINUUM-MECHANICS | CONSERVATION-LAWS | UNSTRUCTURED MESHES | FINITE-VOLUME SCHEMES | Reduction | Einstein equations | Neutron stars | Divergence | Cowlings | Relativity | Scalars | Stellar evolution | Topology

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2017, Volume 449, Issue 2, pp. 1189 - 1228

The aim of this paper is to study a concentration-compactness principle for homogeneous fractional Sobolev space Ds,2(RN) for 0~~ Concentration-compactness | Fractional Laplacian | Scalar field equation | EXISTENCE | MATHEMATICS, APPLIED | SOBOLEV SPACE | GROUND-STATE | CALCULUS | SCHRODINGER-EQUATION | MATHEMATICS | OPERATOR | REGULARITY | ELLIPTIC-EQUATIONS | Mathematics - Analysis of PDEs ~~

Journal Article

General Relativity and Gravitation, ISSN 0001-7701, 3/2017, Volume 49, Issue 3, pp. 1 - 15

In this article we study self-gravitating static solutions of the Einstein-Scalar Field system in arbitrary dimensions. We discuss the existence of...

Backry-Emery | Theoretical, Mathematical and Computational Physics | Klein–Gordon | Quantum Physics | Differential Geometry | Classical and Quantum Gravitation, Relativity Theory | Physics | Astronomy, Astrophysics and Cosmology | Static solutions | Scalar fields | NONEXISTENCE | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | METRICS | Klein-Gordon | YANG-MILLS EQUATIONS | PHYSICS, PARTICLES & FIELDS

Backry-Emery | Theoretical, Mathematical and Computational Physics | Klein–Gordon | Quantum Physics | Differential Geometry | Classical and Quantum Gravitation, Relativity Theory | Physics | Astronomy, Astrophysics and Cosmology | Static solutions | Scalar fields | NONEXISTENCE | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | METRICS | Klein-Gordon | YANG-MILLS EQUATIONS | PHYSICS, PARTICLES & FIELDS

Journal Article

ASTROPHYSICS AND SPACE SCIENCE, ISSN 0004-640X, 06/2015, Volume 357, Issue 2, pp. 1 - 5

The Kerr-Newman-(anti) de Sitter metric is the most general stationary black hole solution to the Einstein-Maxwell equation with a cosmological constant. We...

Spin fields | BACKGROUNDS | Heun's equation | PERTURBATIONS | GENERAL-RELATIVITY | Black holes | STABILITY | ASTRONOMY & ASTROPHYSICS | HARMONICS | KERR-DE-SITTER | BLACK-HOLES | Electromagnetism | Studies | Cosmology | Astrophysics | Cosmological constant | Gravitation | Propagation | Mathematical analysis | Neutrinos | Scalars | Black holes (astronomy) | Event horizon

Spin fields | BACKGROUNDS | Heun's equation | PERTURBATIONS | GENERAL-RELATIVITY | Black holes | STABILITY | ASTRONOMY & ASTROPHYSICS | HARMONICS | KERR-DE-SITTER | BLACK-HOLES | Electromagnetism | Studies | Cosmology | Astrophysics | Cosmological constant | Gravitation | Propagation | Mathematical analysis | Neutrinos | Scalars | Black holes (astronomy) | Event horizon

Journal Article

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, ISSN 0308-2105, 04/2019, Volume 149, Issue 2, pp. 325 - 352

We are concerned with an elliptic problem which describes a mean field equation of the equilibrium turbulence of vortices with variable intensities. In the...

STATISTICAL-MECHANICS | LIMITS | MATHEMATICS, APPLIED | COMPACT SURFACES | mean field equation | SCALAR-CURVATURE | ELLIPTIC EQUATION | CLASSIFICATION | variational methods | MATHEMATICS | TODA SYSTEM | EXISTENCE RESULT | VARIABLE INTENSITIES | FLOWS | geometric PDEs | blow-up analysis | Turbulent flow | Coercivity

STATISTICAL-MECHANICS | LIMITS | MATHEMATICS, APPLIED | COMPACT SURFACES | mean field equation | SCALAR-CURVATURE | ELLIPTIC EQUATION | CLASSIFICATION | variational methods | MATHEMATICS | TODA SYSTEM | EXISTENCE RESULT | VARIABLE INTENSITIES | FLOWS | geometric PDEs | blow-up analysis | Turbulent flow | Coercivity

Journal Article

INDIANA UNIVERSITY MATHEMATICS JOURNAL, ISSN 0022-2518, 2018, Volume 67, Issue 1, pp. 29 - 88

We consider the following class of equations with exponential nonlinearities on a compact surface M: -Delta u = rho(1)(h(1)e(u)/integral(M) h(1)e(u) -...

topological degree | STATISTICAL-MECHANICS | STATIONARY FLOWS | COMPACT SURFACES | mean field equation | PRESCRIBING SCALAR CURVATURE | 2-DIMENSIONAL EULER EQUATIONS | MATHEMATICS | BLOW-UP ANALYSIS | Geometric pdes | EXISTENCE RESULT | CONCENTRATING SOLUTIONS | SINH-POISSON | QUALITATIVE PROPERTIES

topological degree | STATISTICAL-MECHANICS | STATIONARY FLOWS | COMPACT SURFACES | mean field equation | PRESCRIBING SCALAR CURVATURE | 2-DIMENSIONAL EULER EQUATIONS | MATHEMATICS | BLOW-UP ANALYSIS | Geometric pdes | EXISTENCE RESULT | CONCENTRATING SOLUTIONS | SINH-POISSON | QUALITATIVE PROPERTIES

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 04/2013, Volume 30, Issue 8, pp. 85015 - 26

For every globally hyperbolic spacetime M, we derive new mixed gravitational field equations embodying the smooth Geroch infinitesimal splitting T (M) = D...

CAUCHY HYPERSURFACES | QUANTUM SCIENCE & TECHNOLOGY | GENERAL-RELATIVITY | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | GAUGE-FIELDS | TIME | PHYSICS, PARTICLES & FIELDS | Splitting | Mathematical analysis | Exact solutions | Gravitational fields | Scalars | Equations of motion | Curvature | Quantum gravity | Differential Geometry | Mathematics

CAUCHY HYPERSURFACES | QUANTUM SCIENCE & TECHNOLOGY | GENERAL-RELATIVITY | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | GAUGE-FIELDS | TIME | PHYSICS, PARTICLES & FIELDS | Splitting | Mathematical analysis | Exact solutions | Gravitational fields | Scalars | Equations of motion | Curvature | Quantum gravity | Differential Geometry | Mathematics

Journal Article

11.
Infinitely many positive and sign-changing solutions for nonlinear fractional scalar field equations

Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 02/2016, Volume 36, Issue 2, pp. 917 - 939

We consider the following nonlinear fractional scalar field equation (-Delta)(s)u + u = K(vertical bar x vertical bar u(p), u > 0 in R-N, where K(vertical bar...

Nonlinear scalar field equation | Fractional Laplacian | Reduction method | EXISTENCE | MATHEMATICS | nonlinear scalar field equation | MATHEMATICS, APPLIED | WAVES | BOUND-STATES | REGULARITY | reduction method

Nonlinear scalar field equation | Fractional Laplacian | Reduction method | EXISTENCE | MATHEMATICS | nonlinear scalar field equation | MATHEMATICS, APPLIED | WAVES | BOUND-STATES | REGULARITY | reduction method

Journal Article

Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 12/2015, Volume 35, Issue 12, pp. 5963 - 5976

We consider a class of scalar field equations with anisotropic non-local nonlinearities. We obtain a suitable extension of the well-known compactness lemma of...

Loss of compactness | Anisotropic nonlocal nonlinearity | Scalar field equation | Variable exponent | Existence of ground state | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | loss of compactness | existence of ground state | POSITIVE SOLUTIONS | CALCULUS | CONCENTRATION-COMPACTNESS PRINCIPLE | anisotropic nonlocal nonlinearity | variable exponent | DOMAINS

Loss of compactness | Anisotropic nonlocal nonlinearity | Scalar field equation | Variable exponent | Existence of ground state | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | loss of compactness | existence of ground state | POSITIVE SOLUTIONS | CALCULUS | CONCENTRATION-COMPACTNESS PRINCIPLE | anisotropic nonlocal nonlinearity | variable exponent | DOMAINS

Journal Article

Proceedings of the London Mathematical Society, ISSN 0024-6115, 01/2016, Volume 112, Issue 1, pp. 1 - 26

We consider the following nonlinear field equation with super‐critical growth: (*)−Δu+λu=Q(y)u(N+2)/(N−2),u>0inRN+m,u(y)→0as|y|→+∞, where m⩾1, λ⩾0 and Q(y) is...

MATHEMATICS | R-N | PERTURBED NEUMANN PROBLEM | PRESCRIBING SCALAR CURVATURE | S-N | CONCENTRATION-COMPACTNESS PRINCIPLE | LIN-NIS CONJECTURE | HIGHER CRITICAL EXPONENTS | SEMILINEAR ELLIPTIC EQUATION | DELTA-U | DOMAINS

MATHEMATICS | R-N | PERTURBED NEUMANN PROBLEM | PRESCRIBING SCALAR CURVATURE | S-N | CONCENTRATION-COMPACTNESS PRINCIPLE | LIN-NIS CONJECTURE | HIGHER CRITICAL EXPONENTS | SEMILINEAR ELLIPTIC EQUATION | DELTA-U | DOMAINS

Journal Article

14.
Existence of a positive solution to a nonlinear scalar field equation with zero mass at infinity

Advanced Nonlinear Studies, ISSN 1536-1365, 11/2018, Volume 18, Issue 4, pp. 745 - 762

We establish the existence of a positive solution to the problem -Delta u + V(x)u = f(u), u epsilon D-1,D-2(R-N), for N >= 3, when the nonlinearity f is...

Scalar Field Equations | Zero Mass | Positive Solution | Double-Power Nonlinearity | Superlinear | Variational Methods | MATHEMATICS, APPLIED | GROUND-STATE | SCHRODINGER-EQUATION | V(INFINITY)=0 | MATHEMATICS | NODAL SOLUTIONS | ELLIPTIC-EQUATIONS | DOMAINS

Scalar Field Equations | Zero Mass | Positive Solution | Double-Power Nonlinearity | Superlinear | Variational Methods | MATHEMATICS, APPLIED | GROUND-STATE | SCHRODINGER-EQUATION | V(INFINITY)=0 | MATHEMATICS | NODAL SOLUTIONS | ELLIPTIC-EQUATIONS | DOMAINS

Journal Article

Canadian Journal of Physics, ISSN 0008-4204, 04/2009, Volume 87, Issue 4, pp. 349 - 352

Exact solutions of a massive complex scalar field equation in the geometry of a Garfinkle-Horowitz-Strominger (stringy) black hole with magnetic charge is...

04.70.Dy | 04.62.+v | 04.70.-s | PARTICLES | PHYSICS, MULTIDISCIPLINARY | Thermal properties | Scalar field theory | Electromagnetic waves | Angular momentum | Black holes (Astronomy) | Electric waves | Electromagnetic radiation | Influence | Observations | Methods | Magnetic properties | Physics - General Relativity and Quantum Cosmology

04.70.Dy | 04.62.+v | 04.70.-s | PARTICLES | PHYSICS, MULTIDISCIPLINARY | Thermal properties | Scalar field theory | Electromagnetic waves | Angular momentum | Black holes (Astronomy) | Electric waves | Electromagnetic radiation | Influence | Observations | Methods | Magnetic properties | Physics - General Relativity and Quantum Cosmology

Journal Article

Discrete and Continuous Dynamical Systems, ISSN 1078-0947, 11/2010, Volume 28, Issue 3, pp. 1237 - 1272

In this and the subsequent paper, we are interested in the following nonlinear equation: Delta(g)v + rho (h*e(v)/integral(h*vd mu(x))(M) - 1) -4 pi...

Mean field equation | Degree theory | Chen-Simons-Higgs equation | Liouville equation | Singular solution | Blow-up | MATHEMATICS, APPLIED | mean field equation | 2-DIMENSIONAL EULER EQUATIONS | CHERN-SIMONS THEORY | RIEMANN SURFACES | PERIODIC MULTIVORTICES | STATISTICAL-MECHANICS DESCRIPTION | SCALAR CURVATURE EQUATION | degree theory | MATHEMATICS | singular solution | TOPOLOGICAL-DEGREE | blow-up | NONLINEAR ELLIPTIC-EQUATIONS | BLOW-UP SOLUTIONS | ELECTROWEAK THEORY

Mean field equation | Degree theory | Chen-Simons-Higgs equation | Liouville equation | Singular solution | Blow-up | MATHEMATICS, APPLIED | mean field equation | 2-DIMENSIONAL EULER EQUATIONS | CHERN-SIMONS THEORY | RIEMANN SURFACES | PERIODIC MULTIVORTICES | STATISTICAL-MECHANICS DESCRIPTION | SCALAR CURVATURE EQUATION | degree theory | MATHEMATICS | singular solution | TOPOLOGICAL-DEGREE | blow-up | NONLINEAR ELLIPTIC-EQUATIONS | BLOW-UP SOLUTIONS | ELECTROWEAK THEORY

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2012, Volume 386, Issue 2, pp. 744 - 762

We study the existence of radially symmetric solutions u ∈ H 1 ( Ω ) of the following nonlinear scalar field equation − Δ u = g ( | x | , u ) in Ω. Here Ω = R...

Symmetric mountain pass argument | Nonlinear scalar field equation | Monotonicity methods | Radially symmetric solutions | SCHRODINGER-EQUATIONS | EXISTENCE | MATHEMATICS, APPLIED | MOUNTAIN PASS | MATHEMATICS | R-N | WAVES | R(N) | PALAIS-SMALE SEQUENCES

Symmetric mountain pass argument | Nonlinear scalar field equation | Monotonicity methods | Radially symmetric solutions | SCHRODINGER-EQUATIONS | EXISTENCE | MATHEMATICS, APPLIED | MOUNTAIN PASS | MATHEMATICS | R-N | WAVES | R(N) | PALAIS-SMALE SEQUENCES

Journal Article

2018, Series in applied and computational mathematics, ISBN 9789813230859, Volume 3, xi, 174 pages

Book

Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, ISSN 1120-6330, 2015, Volume 26, Issue 1, pp. 75 - 82

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 1/2014, Volume 53, Issue 1, pp. 181 - 187

The problem of variable separation of the scalar field equation is approached within the Lemaître-Tolman-Bondi (LTB) cosmological model with cosmological...

Cosmological constant | Theoretical, Mathematical and Computational Physics | Variable separation | Parametric solutions | Quantum Physics | Lemaître-Tolman-Bondi cosmology | Physics, general | Scalar field equation | Physics | Elementary Particles, Quantum Field Theory | Lemaitre-Tolman-Bondi cosmology | PHYSICS, MULTIDISCIPLINARY | ARBITRARY SPIN

Cosmological constant | Theoretical, Mathematical and Computational Physics | Variable separation | Parametric solutions | Quantum Physics | Lemaître-Tolman-Bondi cosmology | Physics, general | Scalar field equation | Physics | Elementary Particles, Quantum Field Theory | Lemaitre-Tolman-Bondi cosmology | PHYSICS, MULTIDISCIPLINARY | ARBITRARY SPIN

Journal Article

No results were found for your search.

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