Existence and multiplicity for elliptic p-Laplacian problems with critical growth in the gradient
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Existence and multiplicity for elliptic p-Laplacian problems with critical growth in the gradient |
| Type de publication | Journal Article |
| Year of Publication | 2018 |
| Auteurs | De Coster C, Fernandez AJ |
| Journal | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS |
| Volume | 57 |
| Pagination | 89 |
| Date Published | JUN |
| Type of Article | Article |
| ISSN | 0944-2669 |
| Résumé | We consider the boundary value problem where , , is a bounded domain with smooth boundary. We assume for some with and . We prove existence and uniqueness results in the coercive case and existence and multiplicity results in the non-coercive case . Also, considering stronger assumptions on the coefficients, we clarify the structure of the set of solutions in the non-coercive case. |
| DOI | 10.1007/s00526-018-1346-6 |