EXISTENCE AND CONCENTRATION RESULT FOR KIRCHHOFF EQUATIONS WITH CRITICAL EXPONENT AND HARTREE NONLINEARITY

DOI10.11948/20190338zbMath1471.35019OpenAlexW3110739718MaRDI QIDQ5858068

Haibo Chen, Guofeng Che

Publication date: 9 April 2021

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

Full work available at URL: https://doi.org/10.11948/20190338

zbMATH Keywords

critical Sobolev exponentconcentration-compactness principleground state solutionHartree-type nonlinearity

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Critical exponents in context of PDEs (35B33) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations (35J62)

Related Items (max. 100)

Existence and multiplicity of solutions for Kirchhoff–Schrödinger–Poisson system with critical growth ⋮ Existence and multiplicity of nontrivial solutions for a class of Kirchhoff-Schrödinger-Poisson systems ⋮ Multiple positive solutions for a class of Kirchhoff type equations with indefinite nonlinearities

Cites Work

• Unnamed Item
• Multiplicity of small negative-energy solutions for a class of nonlinear Schrödinger-Poisson systems
• Nonlinear perturbations of a periodic Kirchhoff equation in \(\mathbb R^N\)
• Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
• Existence of ground state solutions to the nonlinear Kirchhoff type equations with potentials
• On the nonlinear Schrödinger-Poisson systems with sign-changing potential
• Nontrivial solutions for Kirchhoff-type problems with a parameter
• Positive solutions of asymptotically linear Schrödinger-Poisson systems with a radial potential vanishing at infinity
• Schrödinger-Poisson equations without Ambrosetti-Rabinowitz condition
• Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Ground state solutions for the nonlinear Schrödinger-Maxwell equations
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Minimax theorems
• Bound state positive solutions for a class of elliptic system with Hartree nonlinearity
• New result for nonlinear Choquard equations: doubly critical case
• Infinitely many solutions for the Klein-Gordon equation with sublinear nonlinearity coupled with Born-Infeld theory
• Positive and sign-changing solutions of a Schrödinger-Poisson system involving a critical nonlinearity
• Existence and multiplicity of positive solutions for Kirchhoff-Schrödinger-Poisson system with critical growth
• Existence and concentration of positive ground states for a 1-Laplacian problem in \(\mathbb{R}^N\)
• Existence of positive ground state solutions for Kirchhoff type problems
• Existence and concentration of positive ground states for a Kirchhoff equation involving critical Sobolev exponent
• Existence and concentration of sign-changing solutions to Kirchhoff-type system with Hartree-type nonlinearity
• Existence of nontrivial solution for Schrödinger-Poisson systems with indefinite steep potential well
• Ground state solutions for an indefinite Kirchhoff type problem with steep potential well
• Existence and multiplicity of solutions for nonlinear Schrödinger equations with magnetic field and Hartree type nonlinearities
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Positive solutions for some non-autonomous Schrödinger-Poisson systems
• Concentrating Bound States for Kirchhoff Type Problems in ℝ³ Involving Critical Sobolev Exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Some properties of weak solutions of nonlinear scalar field equations
• ON NODAL SOLUTIONS OF THE NONLINEAR SCHRÖDINGER–POISSON EQUATIONS
• A positive solution for a nonlinear Schroedinger equation on R^N
• Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling

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