Uniqueness results for pseudomonotone problems with \(p>2\)

DOI10.1016/j.crma.2007.02.007zbMath1118.35307OpenAlexW2007699516MaRDI QIDQ883402

Juan Casado-Díaz, Alessio Porretta, François Murat

Publication date: 4 June 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.02.007

zbMATH Keywords

comparison principle

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (10)

Interior gradient estimates for quasilinear elliptic equations ⋮ Semilinear problems with right-hand sides singular at \(u=0\) which change sign ⋮ Comparison principle for some classes of nonlinear elliptic equations ⋮ A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes ⋮ A remark on uniqueness of weak solutions for some classes of parabolic problems ⋮ The obstacle problem for the porous medium equation ⋮ Existence and comparison results for non-uniformly parabolic problems ⋮ Uniqueness for elliptic problems with locally Lipschitz continuous dependence on the solution ⋮ Existence results for nonlinear elliptic problems with unbounded coefficients ⋮ Uniqueness results for strongly monotone operators related to Gauss measure

Cites Work

• The Lewy-Stampacchia inequality for bilateral problems
• Minimal and maximal solutions for Dirichlet pseudomonotone problems
• Uniqueness of solutions for some nonlinear Dirichlet problems
• The capacity for pseudomonotone operators
• Existence and comparison of maximal and minimal solutions for pseudomonotone elliptic problems in \(L^{1}\)
• On some nonlinear elliptic equations involving derivatives of the nonlinearity
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
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