A class of integral functionals with a \(W_0^{1,1}\)-minimum

DOI10.4171/RLM/979OpenAlexW4313326475MaRDI QIDQ2694438

David Arcoya, Boccardo, Lucio

Publication date: 3 April 2023

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/979

zbMATH Keywords

minimizationdegenerate elliptic equations\(W_0^{1,1}\) solutions

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75)

Cites Work

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• An introduction to nonlinear functional analysis and elliptic problems
• \(W^{1,1}_0\) minima of noncoercive functionals
• \(W^{1,1}_0\) solutions in some borderline cases of Calderón-Zygmund theory
• Regularizing effect of \(L^q\) interplay between coefficients in some elliptic equations
• Regularizing effect of the interplay between coefficients in some elliptic equations
• \({W^{1,1}_0}\)-solutions for elliptic problems having gradient quadratic lower order terms
• Critical points and nonlinear variational problems

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