A Berestycki-Lions' type result to a quasilinear elliptic problem involving the 1-Laplacian operator

DOI10.1016/j.jmaa.2021.125074zbMath1464.35141OpenAlexW3129773316MaRDI QIDQ2661247

Marcos T. O. Pimenta, Juan C. Ortiz Chata

Publication date: 3 April 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125074

zbMATH Keywords

existence of solutionsquasilinear equationPohozaev-type identity1-Laplacian operator

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Ground state solution for a non-autonomous 1-Laplacian problem involving periodic potential in \(\protect \mathbb{R}^N\), Existence of solution for a class of heat equation involving the 1-Laplacian operator, Existence of nontrivial solution for quasilinear equations involving the 1-biharmonic operator, A Berestycki–Lions type result for a class of problems involving the 1-Laplacian operator, Bounded variation solution for a class of Kirchhoff type problem involving the 1-Laplacian operator, Existence and concentration properties for the 1-biharmonic equation with lack of compactness, On bounded variation solutions of quasi-linear 1-Laplacian problems with periodic potential in \(\mathbb{R}^N\), Multiplicity of solutions for a class of quasilinear problems involving the \(1\)-Laplacian operator with critical growth, Properties of the 1-polyharmonic operator in the whole space and applications to nonlinear elliptic equations

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