Multiplicity of positive solutions for a class of critical Sobolev exponent problems involving Kirchhoff-type nonlocal term

DOI10.1016/j.camwa.2018.03.041zbMath1421.35106OpenAlexW2798260469MaRDI QIDQ2001355

Xin Sun, Yu Duan, Jia-Feng Liao

Publication date: 3 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.03.041

zbMATH Keywords

Dirichlet problempositive solutionscritical Sobolev exponentvariational methodNehari methodKirchhoff-type equation

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Positive solutions to PDEs (35B09)

Related Items

Existence of positive solutions for nonlocal problems with indefinite nonlinearity ⋮ Positive solutions of Kirchhoff-hénon type elliptic equations with critical Sobolev growth ⋮ Some results for a class of Kirchhoff-type problems with Hardy-Sobolev critical exponent ⋮ Positive solutions for a critical \(p\)-Laplacian problem with a Kirchhoff term ⋮ Two positive solutions for Kirchhoff type problems with Hardy-Sobolev critical exponent and singular nonlinearities ⋮ Unnamed Item ⋮ Existence of solution for nonlocal heterogeneous elliptic problems ⋮ Unnamed Item

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