| Title | ENTROPY SOLUTION OF A QUASILINEAR ELLIPTIC PROBLEM WITH NONLINEAR BOUNDARY CONDITION |
| Publication Type | Journal Article |
| Year of Publication | 2007 |
| Authors | Sbihi, K, Wittbold, P |
| Secondary Title | Communications in Applied Analysis |
| Volume | 11 |
| Issue | 2 |
| Start Page | 299 |
| Pagination | 325 |
| Date Published | 04/2007 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 31C15, 35B20, 35J60, 47H06 |
| Abstract | In this paper, we consider the equation u − div a(u, Du) = f on a bounded domain with nonlinear boundary conditions of the form −a(u, Du) · η ∈ β(x, u). We introduce a notion of entropy solution for this problem and prove existence and uniqueness of this solution for general L1 -data. |
| URL | http://www.acadsol.eu/en/articles/11/2/11.pdf |
| Short Title | Entropy Solution of a Quasilinear Elliptic Problem 323 In a forthcoming paper, the existence and u |
| Refereed Designation | Refereed |
| Full Text | References[1] H.W. Alt and S. Luckhaus, Quasilinear elliptic-parabolic differential equations, Math. Z., 183 (1983), 311-341.
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