Abstract
We describe all nontrivial nonnegative solutions to the problem $-\Delta u=au^{(n+2)/(n-2)}$ in $H,\ \partial u/\partial\nu=bu^{n/(n-2)}$ on $\partial H$, where $H$ is a half-space of ${\bf R}^n\ (n\geq3)$.
Chipot, M; Shafrir, I; Fila, M (1996). On the solutions to some elliptic equations with nonlinear Neumann boundary conditions. Advances in Differential Equations, 1(1):91-110.
Abstract
We describe all nontrivial nonnegative solutions to the problem $-\Delta u=au^{(n+2)/(n-2)}$ in $H,\ \partial u/\partial\nu=bu^{n/(n-2)}$ on $\partial H$, where $H$ is a half-space of ${\bf R}^n\ (n\geq3)$.
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Additional indexing
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | nonexistence, semilinear elliptic equation, half space, moving plane method |
| Language: | English |
| Date: | 1996 |
| Deposited On: | 02 Aug 2010 09:22 |
| Last Modified: | 23 Jan 2022 14:43 |
| Publisher: | Khayyam |
| ISSN: | 1079-9389 |
| OA Status: | Closed |
| Official URL: | http://www.aftabi.com/ADE/ade01.html |
| Related URLs: | http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0839.35042 |
Chipot, M