# On the solutions to some elliptic equations with nonlinear Neumann boundary conditions - Zurich Open Repository and Archive

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

## Citations

Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics nonexistence; semilinear elliptic equation; half space; moving plane method English 1996 02 Aug 2010 09:22 05 Apr 2016 13:27 Khayyam 1079-9389 http://www.aftabi.com/ADE/ade01.html http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0839.35042

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