Geodesic
Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight
Electronic journal of differential equations, Tome 2016 (2016)
In this article we consider the problem

$\displaylines{ -\hbox{div}\big(p(x)\nabla u\big)=|u|^{2^{*}-2}u+\lambda f\quad {in }\Omega \cr u=0 \quad {on }\partial\Omega }$

where $\Omega$ is a bounded domain in $\mathbb{R}^N$, We study the relationship between the behavior of p near its minima on the existence of solutions.
Classification : 35J20, 35J25, 35J60
Keywords: critical Sobolev exponent, Nehari manifold, variational principle 
@article{EJDE_2016__2016__a18,
     author = {Bouchekif,  Mohammed and Rimouche,  Ali},
     title = {Nonhomogeneous elliptic equations involving critical {Sobolev} exponent and weight},
     journal = {Electronic journal of differential equations},
     year = {2016},
     volume = {2016},
     zbl = {1333.35015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a18/}
}
TY  - JOUR
AU  - Bouchekif,  Mohammed
AU  - Rimouche,  Ali
TI  - Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight
JO  - Electronic journal of differential equations
PY  - 2016
VL  - 2016
UR  - http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a18/
LA  - en
ID  - EJDE_2016__2016__a18
ER  - 
%0 Journal Article
%A Bouchekif,  Mohammed
%A Rimouche,  Ali
%T Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight
%J Electronic journal of differential equations
%D 2016
%V 2016
%U http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a18/
%G en
%F EJDE_2016__2016__a18
Bouchekif,  Mohammed; Rimouche,  Ali. Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight. Electronic journal of differential equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a18/