Title of article
Nonlinear versions of Stampacchia and Lax–Milgram theorems and applications to image-Laplace equations Original Research Article
Author/Authors
Duong Minh Duc، نويسنده , , Nguyen Hoang Loc، نويسنده , , Le Long Phi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
7
From page
925
To page
931
Abstract
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 pp-Laplace elliptic and pseudo-pp-Laplace problems.
Keywords
Stampacchia theorem , pp-Laplacian , Lax–Milgram theorem , Nontrivial solution , Pseudo-pp-Laplacian , Non-uniform elliptic problems
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2008
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860071
Link To Document