Nonlinear versions of Stampacchia and Lax-Milgram theorems and applications to \(p\)-Laplace equations
https://doi.org/10.1016/j.na.2006.11.048Publisher, magazine: ,
Publication year: 2008
Lưu Trích dẫn Chia sẻAbstract
We obtain the nonlinear versions of the Stampacchia theorem and the Lax-Milgram theorem. Our results are stronger than the classical ones even in the linear case. Applying these theorems we get nontrivial solutions of \(p\)-Laplace elliptic and pseudo-\(p\)-Laplace problems.
Tags: Stampacchia theorem; Lax-Milgram theorem; \(p\)-Laplacian; pseudo-\(p\)-Laplacian; nontrivial solution; non-uniform elliptic problems
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