Behaviour of $p$-Laplacian problems with Neumann boundary conditions when $p$ goes to $1$

DOI10.3934/cpaa.2013.12.253zbMath1266.35111OpenAlexW2150910713MaRDI QIDQ1948043

Julio D. Rossi, Cristina Trombetti, Anna Mercaldo, Sergio Segura de León

Publication date: 30 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.253

zbMATH Keywords

$p$-Laplacian Neumann problem $1$-Laplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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Behaviour of \(p\)-Laplacian problems with Neumann boundary conditions when \(p\) goes to \(1\)