Existence and comparison of maximal and minimal solutions for pseudomonotone elliptic problems in \(L^{1}\)

DOI10.1016/S0362-546X(02)00299-7zbMath1023.35035MaRDI QIDQ1868008

Juan Casado-Díaz, Alessio Porretta

Publication date: 27 April 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

comparison propertiesrenormalized solutions\(L^1\) datapseudomonotone elliptic operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

Interior gradient estimates for quasilinear elliptic equations ⋮ Uniqueness results for pseudomonotone problems with \(p>2\) ⋮ On the minimal solution for some variational inequalities

Cites Work

• Non-homogeneous boundary value conditions for elliptic problems with measure valued right hand side
• Minimal and maximal solutions for Dirichlet pseudomonotone problems
• Uniqueness of solutions for some nonlinear Dirichlet problems
• Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
• 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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