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Minimal and maximal solutions for Dirichlet pseudomonotone problems

✍ Scribed by Juan Casado-Dı́az

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
108 KB
Volume
43
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES

Existence and comparison of maximal and
Existence and comparison of maximal and minimal solutions for pseudomonotone elliptic problems in L1
✍ Juan Casado-Dı́az; Alessio Porretta 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 247 KB

We consider the nonhomogeneous Dirichlet problem -div(a(x; u; ∇u)) = f in ; u = w on @ ; where -div(a(x; u; ∇u)) is a pseudomonotone operator of Leray-Lions type deÿned in W 1;p 0 ( ), w ∈ W 1;p ( ) and f is in L 1 ( ). Under suitable assumptions of locally Lipschitz, or locally H older, continuity