Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions
| Affiliation auteurs | Affiliation ok |
| Titre | Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions |
| Type de publication | Journal Article |
| Year of Publication | 2014 |
| Auteurs | Arcoya D, De Coster C, Jeanjean L, Tanaka K |
| Journal | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
| Volume | 420 |
| Pagination | 772-780 |
| Date Published | DEC 1 |
| Type of Article | Article |
| ISSN | 0022-247X |
| Mots-clés | Quadratic growth in the gradient, Quasilinear elliptic equations, Uniqueness of solution |
| Résumé | In this note we present some uniqueness and comparison results for a class of problem of the form -Lu = H(x, u, del u) + h(x), u is an element of H-0(1)(Omega) boolean AND L-infinity(Omega), (0.1) where Omega subset of R-N, N >= 2 is a bounded domain, L is a general elliptic second order linear operator with bounded coefficients and H is allowed to have a critical growth in the gradient. In some cases our assumptions prove to be sharp. (C) 2014 Elsevier Inc. All rights reserved. |
| DOI | 10.1016/j.jmaa.2014.06.007 |