Existence and concentration behavior of solutions to 1-Laplace equations on \(\mathbb{R}^N\)

DOI10.1016/J.JDE.2020.09.041zbMath1457.58009OpenAlexW3092106919MaRDI QIDQ2216051

Ruishu Liu, Zhou-Xin Li

Publication date: 15 December 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.09.041

zbMATH Keywords

BV space1-Laplace equationnonsmooth critical point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (5)

Bounded variation solution to 1-Laplacian Kirchhoff type problem in ℝ^N ⋮ Minimization to the Zhang's energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities ⋮ Behaviour of solutions to p-Laplacian with Robin boundary conditions as p goes to 1 ⋮ On bounded variation solutions of quasi-linear 1-Laplacian problems with periodic potential in \(\mathbb{R}^N\) ⋮ Properties of the 1-polyharmonic operator in the whole space and applications to nonlinear elliptic equations

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