On the critical Kirchhoff problems with super-linear nonlinearities and variable potentials

DOI10.1007/s41980-022-00699-8OpenAlexW4225403232MaRDI QIDQ2682726

Qiongfen Zhang, Ting Xiao

Publication date: 1 February 2023

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-022-00699-8

zbMATH Keywords

existence of a ground state solutioncritical Kirchhoff-type equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Cites Work

• Multiplicity results for the Kirchhoff type equations with critical growth
• Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\)
• On ground state solutions for a Kirchhoff type equation with critical growth
• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Multiple solutions for a Kirchhoff equation with critical growth
• On concentration of positive bound states of nonlinear Schrödinger equations
• Minimax theorems
• Existence and multiplicity of solutions for Kirchhoff type problem with critical exponent
• On the Kirchhoff problems involving critical Sobolev exponent
• On critical Klein-Gordon-Maxwell systems with super-linear nonlinearities
• Some results of nontrivial solutions for Klein-Gordon-Maxwell systems with local super-quadratic conditions
• Positive solutions for nonlinear Schrödinger-Kirchhoff equations in \(\mathbb{R}^3\)
• Nodal solutions for Kirchhoff equation in \(\mathbb{R}^3\) with critical growth
• Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
• Ground states for Kirchhoff equations without compact condition
• Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
• Singular perturbed Kirchhoff type problem with critical exponent
• Existence of positive solutions for nonlinear Kirchhoff type problems in R3 with critical Sobolev exponent
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Bounded Palais-Smale mountain-pass sequences
• SEMICLASSICAL STATES FOR COUPLED SCHRÖDINGER–MAXWELL EQUATIONS: CONCENTRATION AROUND A SPHERE
• On the Well-Posedness of the Kirchhoff String
• On a class of Kirchhoff problems via local mountain pass
• An improved result for Klein–Gordon–Maxwell systems with steep potential well
• Multiple semiclassical states for coupled Schrödinger-Poisson equations with critical exponential growth

This page was built for publication: On the critical Kirchhoff problems with super-linear nonlinearities and variable potentials