Article
Uniqueness results for pseudomonotone problems with p>2
Alternative title | Résultats d'unicité pour des problèmes pseudomonotones avec p>2 |
Author/s | Casado Díaz, Juan
Murat, François Porretta, Alessio |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2007-01-30 |
Deposit Date | 2022-11-11 |
Published in |
|
Abstract | We consider a pseudomonotone operator, the model of which is −div(b(x, u)|∇ u| p−2∇ u) with 1 <p< +∞ and b(x, s) a Lipschitz continuous function in s which hold satisfies 0 < α b(x, s) β < +∞. We show that the comparison ... We consider a pseudomonotone operator, the model of which is −div(b(x, u)|∇ u| p−2∇ u) with 1 <p< +∞ and b(x, s) a Lipschitz continuous function in s which hold satisfies 0 < α b(x, s) β < +∞. We show that the comparison principle (and therefore the uniqueness for the Dirichlet problem) in two particular cases, namely the one-dimensional case, and the case where at least one of the right-hand sides does not change sign. To the best of our knowledge these results are new for p > 2. Full detailed proofs are given in the present Note. The results continue to hold when Ω is unbounded |
Citation | Casado Díaz, J., Murat, F. y Porretta, A. (2007). Uniqueness results for pseudomonotone problems with p>2. Comptes Rendus Mathématique, 344 (8), 487-492. https://doi.org/10.1016/j.crma.2007.02.007. |
Files | Size | Format | View | Description |
---|---|---|---|---|
Uniqueness results for pseudom ... | 144.7Kb | [PDF] | View/ | |