Ground states for Kirchhoff-type equations with critical or supercritical growth

DOI10.1002/MMA.4485zbMath1387.35156OpenAlexW2741327902MaRDI QIDQ3133996

Quanqing Li, Xian Wu, Kai-Min Teng

Publication date: 8 February 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4485

zbMATH Keywords

Kirchhoff-type equationground state solutionscritical or supercritical growth

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear boundary value problems for ordinary differential equations (34B15) General topics in linear spectral theory for PDEs (35P05) Set-valued operators (47H04) Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

The existence of sign-changing solutions for Schrödinger-Kirchhoff problems in \(\mathbb{R}^3\) ⋮ Existence and asymptotic behavior of localized nodal solutions for a class of Kirchhoff-type equations ⋮ Ground states for fractional Schrödinger equations involving critical or supercritical exponent ⋮ Infinitely many nodal solutions for Kirchhoff-type equations with non-odd nonlinearity ⋮ Existence and asymptotics of normalized ground states for a Sobolev critical Kirchhoff equation ⋮ Nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical growth ⋮ Concentration phenomenon of solutions for a class of Kirchhoff-type equations with critical growth ⋮ Ground state solution for some new Kirchhoff-type equations with Hartree-type nonlinearities and critical or supercritical growth

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