Positive solutions for the Kirchhoff-type equation with Hartree nonlinearities

DOI10.1007/s00009-022-02157-5zbMath1501.35215OpenAlexW4306292491MaRDI QIDQ2094536

Shanni Zhu, Guofeng Che

Publication date: 28 October 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02157-5

zbMATH Keywords

asymptotic behaviorexistence of positive solutionsKirchhoff-type equationHartree nonlinearities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Related Items (1)

Existence and multiplicity of nontrivial solutions for a class of Kirchhoff-Schrödinger-Poisson systems

Cites Work

• Unnamed Item
• Unnamed Item
• Existence of infinitely many solutions to a class of Kirchhoff-Schrödinger-Poisson system
• Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
• Existence of a positive solution to Kirchhoff-type problems without compactness conditions
• Schrödinger-Poisson system with steep potential well
• Schrödinger-Poisson equations without Ambrosetti-Rabinowitz condition
• Infinitely many solutions for Kirchhoff equations with sign-changing potential and Hartree nonlinearity
• Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Ground state solutions for the nonlinear Schrödinger-Maxwell equations
• On the existence of solutions for the Schrödinger-Poisson equations
• Infinitely many radial solutions for Kirchhoff-type problems in \(\mathbb{R}^N\)
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Positive solutions for Kirchhoff-Schrödinger-Poisson systems with general nonlinearity
• On the concentration phenomenon of \(L^{2}\)-subcritical constrained minimizers for a class of Kirchhoff equations with potentials
• Ground state sign-changing solutions for a class of nonlinear fractional Schrödinger-Poisson system with potential vanishing at infinity
• Multiple solutions for Schrödinger-Poisson systems with indefinite potential and combined nonlinearity
• A study on the critical Kirchhoff problem in high-dimensional space
• On the solvability of an indefinite nonlinear Kirchhoff equation via associated eigenvalue problems
• Positive solutions of a superlinear Kirchhoff type equation in \(\mathbb{R}^N\) \((N \geq 4)\)
• Existence and multiplicity of positive solutions for Kirchhoff-Schrödinger-Poisson system with critical growth
• Existence and concentration of sign-changing solutions to Kirchhoff-type system with Hartree-type nonlinearity
• Ground state solutions for an indefinite Kirchhoff type problem with steep potential well
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Positive solutions for some non-autonomous Schrödinger-Poisson systems
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
• A positive solution for a nonlinear Schroedinger equation on R^N
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• On Schrödinger–Poisson systems involving concave–convex nonlinearities via a novel constraint approach

This page was built for publication: Positive solutions for the Kirchhoff-type equation with Hartree nonlinearities