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Uniqueness and existence of maximal and minimal solutions of fully nonlinear elliptic PDE

✍ Scribed by Świech, Andrzej; Jensen, Robert

Book ID
115490240
Publisher
American Institute of Mathematical Sciences
Year
2005
Tongue
English
Weight
199 KB
Volume
4
Category
Article
ISSN
1534-0392

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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