Existence and concentration of ground state solutions for a class of Kirchhoff-type problems

DOI10.1016/j.na.2019.111715zbMath1437.35220OpenAlexW2998025136MaRDI QIDQ2309293

Xiaoyan Lin, Jiuyang Wei

Publication date: 30 March 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.111715

zbMATH Keywords

variational methodsconcentration behaviourKirchhoff-type problemexistence of a ground state solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20)

Related Items

Semiclassical ground state solutions for a class of Kirchhoff-type problem with convolution nonlinearity ⋮ Existence and asymptotic behavior of localized nodal solutions for a class of Kirchhoff-type equations ⋮ Ground state sign-changing solutions for Schrödinger-Kirchhoff equation with asymptotically cubic or supercubic nonlinearity ⋮ Ground state solutions to a class of critical Schrödinger problem ⋮ Multiple positive solutions for a class of Kirchhoff equation on bounded domain

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