Existence and concentration of ground state sign-changing solutions for Kirchhoff type equations with steep potential well and nonlinearity

DOI10.12775/TMNA.2017.062zbMath1391.35137OpenAlexW2793683266MaRDI QIDQ1639920

Bitao Cheng, Jian-Hua Chen, Xian Hua Tang

Publication date: 13 June 2018

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1518836436

zbMATH Keywords

non-Nehari manifold methodKirchhoff-type equationconcentration of solutionssign-changing ground state solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items

Infinitely many sign-changing solutions for nonlinear fractional Kirchhoff equations ⋮ Existence of ground state solutions for Kirchhoff-type problem with variable potential ⋮ Combined effects of concave and convex nonlinearities for Kirchhoff type equations with steep potential Well and \(1<p<2<q<4\) ⋮ The existence and concentration of ground state sign-changing solutions for Kirchhoff-type equations with a steep potential Well ⋮ Ground state sign-changing solutions for Schrödinger-Kirchhoff equation with asymptotically cubic or supercubic nonlinearity ⋮ A class of Kirchhoff-type problems involving the concave-convex nonlinearities and steep potential Well

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