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Schrödinger-Poisson equations in R^3 involving critical Sobolev exponents (Q3194674)

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Language	Label	Description	Also known as
English	Schrödinger-Poisson equations in R^3 involving critical Sobolev exponents	scientific article

Statements

scholarly article

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Schrödinger-Poisson equations in R^3 involving critical Sobolev exponents (English)

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Annales Academiae Scientiarum Fennicae Mathematica

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publication date

20 October 2015

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full work available at URL

https://arxiv.org/abs/1412.4057

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zbMATH Keywords

existence

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concentration

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Schrödinger-Poisson equation

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critical growth

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MaRDI profile type

MaRDI publication profile

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On Schrödinger-Poisson systems

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Dual variational methods in critical point theory and applications

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MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM

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Concentration and compactness in nonlinear Schrödinger-Poisson system with a general nonlinearity

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On the Schrödinger-Maxwell equations under the effect of a general nonlinear term

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Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)

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An eigenvalue problem for the Schrödinger-Maxwell equations

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SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS

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Nonlinear scalar field equations. I: Existence of a ground state

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Nonlinear scalar field equations. II: Existence of infinitely many solutions

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A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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Standing waves for nonlinear Schrödinger equations with a general nonlinearity

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Standing waves with a critical frequency for nonlinear Schrödinger equations. II.

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Positive solutions for some non-autonomous Schrödinger-Poisson systems

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Infinite dimensional Morse theory and multiple solution problems

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Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations

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Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations

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On Bound States Concentrating on Spheres for the Maxwell--Schrödinger Equation

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On the variational principle

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Existence and concentration result for the Kirchhoff type equations with general nonlinearities

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Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential

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Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method

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Multiplicity and concentration of positive solutions for the Schrödinger-Poisson equations

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The existence and concentration of weak solutions to a class of \(p\)-Laplacian type problems in unbounded domains

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Nonlinear scalar field equations in \(\mathbb{R}^N\): Mountain pass and symmetric mountain pass approaches

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On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on <i>ℝ<sup>N</sup></i>

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Schrödinger-Poisson system with steep potential well

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Some properties of weak solutions of nonlinear scalar field equations

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Eigenvalue problems for quasilinear elliptic equations on R<sup>N</sup>

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The concentration-compactness principle in the calculus of variations. The locally compact case. II

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The concentration-compactness principle in the calculus of variations. The limit case. I

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The Schrödinger–Poisson System with Positive Potential

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Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)<sub>a</sub>

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Correction to existence of semiclassical bound states of nonlinear scierodinger equations with potentials of the, class (V)<sub>a</sub>

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On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential

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Local mountain passes for semilinear elliptic problems in unbounded domains

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On a class of nonlinear Schrödinger equations

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The Schrödinger-Poisson equation under the effect of a nonlinear local term

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On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases

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Multiple Solitary Waves For a Non-homogeneous Schrödinger–Maxwell System in ℝ<sup>3</sup>

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Regularity for a more general class of quasilinear equations

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Ground states for Schrödinger-Poisson type systems

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On concentration of positive bound states of nonlinear Schrödinger equations

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Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\)

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Standing waves for nonlinear Schrödinger equations involving critical growth

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On the existence of solutions for the Schrödinger-Poisson equations

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Identifiers

zbMATH Open document ID

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10.5186/aasfm.2015.4041

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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