INFINITELY MANY SOLUTIONS FOR A ZERO MASS SCHRÖDINGER-POISSON-SLATER PROBLEM WITH CRITICAL GROWTH

DOI10.11948/20180273zbMath1465.35251OpenAlexW2979654728MaRDI QIDQ5859444

Zhisu Liu, Liu Yang

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20180273

zbMATH Keywords

critical growthconcentration-compactness principleSchrödinger-Poisson-Slater problem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (4)

Multiple positive solutions for a Schrödinger-Poisson-Slater equation with critical growth ⋮ Existence and concentration behavior of positive solutions to Schrödinger-Poisson-Slater equations ⋮ Existence of nontrivial distributional solutions for a class of Schrödinger-Poisson system with Sobolev critical nonlinearity and zero mass ⋮ Multiple positive solutions for a class of concave-convex Schrödinger-Poisson-Slater equations with critical exponent

Cites Work

• Unnamed Item
• Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency
• Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential
• Schrödinger-Poisson equations without Ambrosetti-Rabinowitz condition
• Existence of infinitely many solutions for degenerate \(p\)-fractional Kirchhoff equations with critical Sobolev-Hardy nonlinearities
• On the Schrödinger-Poisson equations with a general nonlinearity in the critical growth
• On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
• Nonlinear scalar field equations. I: Existence of a ground state
• Multiple positive solutions for a Schrödinger-Poisson-Slater system
• Multiplicity of positive solutions for a nonlinear Schrödinger-Poisson system
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Ground state solutions for the nonlinear Schrödinger-Maxwell equations
• Hardy inequalities and some critical elliptic and parabolic problems
• The Thomas-Fermi theory of atoms, molecules and solids
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Combined effects of concave and convex nonlinearities in some elliptic problems
• The Schrödinger-Poisson-\(X\alpha\) equation
• Existence and nonexistence of positive solutions for a static Schrödinger-Poisson-Slater equation
• Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
• On ground state solutions for the Schrödinger-Poisson equations with critical growth
• Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
• Positive solutions for some non-autonomous Schrödinger-Poisson systems
• Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth
• GROUND AND BOUND STATES FOR A STATIC SCHRÖDINGER–POISSON–SLATER PROBLEM
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
• Multiplicity and concentration of positive solutions for the fractional Schrödinger–Poisson systems with critical growth
• ON NODAL SOLUTIONS OF THE NONLINEAR SCHRÖDINGER–POISSON EQUATIONS
• Multiple semiclassical states for coupled Schrödinger-Poisson equations with critical exponential growth
• From atoms to crystals: a mathematical journey
• On Bound States Concentrating on Spheres for the Maxwell--Schrödinger Equation

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