Geodesic
Uniqueness for a semilinear elliptic equation in non-contractible domains under supercritical growth conditions
Electronic journal of differential equations, Tome 1999 (1999)
We apply the Pohozaev identity to sub-domains of a tubular neighbourhood of a closed or broken curve in $\Bbb R^n$ and establish uniqueness results for the smooth solutions of the Dirichlet problem for $-\Delta u+|u|^{p-1}u=0$. We require the domain to be in $\Bbb R^n$ with $n \geq 4$ and with $p greater than (n+1)/(n-3)$.
Classification : 35J65, 35B05, 58E05
Keywords: semilinear elliptic equation, supercritical growth, uniqueness, non-contractible domains, pohozaev identity 
@article{EJDE_1999__1999__a89,
     author = {Zhang,  Kewei},
     title = {Uniqueness for a semilinear elliptic equation in non-contractible domains under supercritical growth conditions},
     journal = {Electronic journal of differential equations},
     year = {1999},
     volume = {1999},
     zbl = {0928.35059},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a89/}
}
TY  - JOUR
AU  - Zhang,  Kewei
TI  - Uniqueness for a semilinear elliptic equation in non-contractible domains under supercritical growth conditions
JO  - Electronic journal of differential equations
PY  - 1999
VL  - 1999
UR  - http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a89/
LA  - en
ID  - EJDE_1999__1999__a89
ER  - 
%0 Journal Article
%A Zhang,  Kewei
%T Uniqueness for a semilinear elliptic equation in non-contractible domains under supercritical growth conditions
%J Electronic journal of differential equations
%D 1999
%V 1999
%U http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a89/
%G en
%F EJDE_1999__1999__a89
Zhang,  Kewei. Uniqueness for a semilinear elliptic equation in non-contractible domains under supercritical growth conditions. Electronic journal of differential equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a89/