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On the solutions to some elliptic equations with nonlinear Neumann boundary conditions


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 ${\bf R}^n\ (n\geq3)$.

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
Uncontrolled Keywords:nonexistence; semilinear elliptic equation; half space; moving plane method
Language:English
Date:1996
Deposited On:02 Aug 2010 09:22
Last Modified:05 Apr 2016 13:27
Publisher:Khayyam
ISSN:1079-9389
Official URL:http://www.aftabi.com/ADE/ade01.html
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0839.35042

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