Renormalized solutions of degenerate elliptic problems

DOI10.1016/j.jde.2006.12.004zbMath1220.35029OpenAlexW2010752482MaRDI QIDQ870093

Kaouther Ammar

Publication date: 12 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.jde.2006.12.004

zbMATH Keywords

weighted Sobolev spacesrenormalized solutionsLeray-Lions operatorquasilinear degenerate equations

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Second-order elliptic equations (35J15) Variational methods for second-order elliptic equations (35J20)

Related Items (3)

Existence of solutions for degenerate elliptic problems in weighted Sobolev space ⋮ A class of nonlinear degenerate elliptic equations related to the Gauss measure ⋮ Existence of solutions for a class of porous medium type equations with lower order terms

Cites Work

• On a nonlinear partial differential equation having natural growth terms and unbounded solution
• Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems
• Existence of bounded solutions for some degenerated quasilinear elliptic equations
• Semi-linear second-order elliptic equations in \(L^1\)
• Renormalized entropy solutions of scalar conservation laws with boundary condition
• On mild and weak solutions of elliptic-parabolic problems
• Pseudo-monotonicity and degenerated or singular elliptic operators
• Truncations and monotonicity methods for parabolic equations
• Existence of renormalized solutions of degenerate elliptic-parabolic problems
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
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