Existence and profile of ground-state solutions to a 1-Laplacian problem in \(\mathbb{R}^N\)

DOI10.1007/s00574-019-00179-4zbMath1448.35253arXiv1804.07618OpenAlexW2984015944MaRDI QIDQ2198184

Marcos T. O. Pimenta, Giovany M. Figueiredo, Claudianor Oliveira Alves

Publication date: 9 September 2020

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.07618

zbMATH Keywords

existence of ground state solutions1-Laplacian operator

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

Bounded variation solution to 1-Laplacian Kirchhoff type problem in ℝ^N ⋮ Ground state solution for a non-autonomous 1-Laplacian problem involving periodic potential in \(\protect \mathbb{R}^N\) ⋮ 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 ⋮ On bounded variation solutions of quasi-linear 1-Laplacian problems with periodic potential in \(\mathbb{R}^N\) ⋮ Existence and concentration of solutions for a 1-biharmonic Choquard equation with steep potential Well in \(R^N \) ⋮ Symmetry and monotonicity of a nonlinear Schrödinger equation involving the fractional Laplacian ⋮ 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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