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The Method of Subsuper Solutions for Weighted p(r)-Laplacian Equation Boundary Value Problems.
- Source :
- Journal of Inequalities & Applications; 2008, Vol. 2008, p1-19, 19p
- Publication Year :
- 2008
-
Abstract
- The article examines the existence of solutions for weighted p(x)-Laplacian ordinary boundary value problem. The method used in this study is based on Leray-Schauder degree. As an application, the existence of weak solutions for p(x)-Laplacian partial differential equations is given. On the p(x)-Laplacian problems, there is a possibility that it does not have the first eigenvalue and the first eigenfunction. Several sub-super-solution theorems for the existence of solutions for weighted p(x)-Laplacian equation with Dirichlet, Robin, and Periodic boundary value conditions are established.
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2008
- Database :
- Complementary Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 36072839
- Full Text :
- https://doi.org/10.1155/2008/279306