Existence of a renormalized solution of nonlinear degenerate elliptic problems

DOI10.4064/am41-2-1zbMath1305.35066OpenAlexW2314613876MaRDI QIDQ2928176

Chakir Allalou, Youssef Akdim

Publication date: 6 November 2014

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am41-2-1

zbMATH Keywords

weighted Sobolev spacesHardy inequalitydegenerate elliptic problem

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Degenerate elliptic equations (35J70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Quasilinear elliptic equations (35J62)

Cites Work

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• Renormalized solutions of nonlinear elliptic problems in generalized Orlicz spaces
• Existence and uniqueness of renormalized solutions to nonlinear elliptic equations with variable exponents and \(L^{1}\)-data
• \(L^1\) existence and uniqueness results for quasi-linear elliptic equations with nonlinear boundary conditions
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Existence of solutions for nonlinear elliptic degenerate equations.
• Renormalized solutions for nonlinear elliptic equations with variable exponents and \(L^1\) data
• Quasilinear degenerated equations with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>L</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math>datum and without coercivity in perturbation terms

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