Nonlinear elliptic equations involving critical Sobolev exponent on compact Riemannian manifolds in presence of symmetries.

Djadli, Zindine. "Nonlinear elliptic equations involving critical Sobolev exponent on compact Riemannian manifolds in presence of symmetries.." Revista Matemática Complutense 12.1 (1999): 201-228. <http://eudml.org/doc/44435>.

@article{Djadli1999,
abstract = {In this paper, we study a nonlinear elliptic equation with critical exponent, invariant under the action of a subgroup G of the isometry group of a compact Riemannian manifold. We obtain some existence results of positive solutions of this equation, and under some assumptions on G, we show that we can solve this equation for supercritical exponents.},
author = {Djadli, Zindine},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones en derivadas parciales no lineales; Problema elíptico; Espacios de Sobolev; nonlinear elliptic; critical exponent; symmetry; positive solutions},
language = {eng},
number = {1},
pages = {201-228},
title = {Nonlinear elliptic equations involving critical Sobolev exponent on compact Riemannian manifolds in presence of symmetries.},
url = {http://eudml.org/doc/44435},
volume = {12},
year = {1999},
}

TY - JOUR
AU - Djadli, Zindine
TI - Nonlinear elliptic equations involving critical Sobolev exponent on compact Riemannian manifolds in presence of symmetries.
JO - Revista Matemática Complutense
PY - 1999
VL - 12
IS - 1
SP - 201
EP - 228
AB - In this paper, we study a nonlinear elliptic equation with critical exponent, invariant under the action of a subgroup G of the isometry group of a compact Riemannian manifold. We obtain some existence results of positive solutions of this equation, and under some assumptions on G, we show that we can solve this equation for supercritical exponents.
LA - eng
KW - Ecuaciones en derivadas parciales no lineales; Problema elíptico; Espacios de Sobolev; nonlinear elliptic; critical exponent; symmetry; positive solutions
UR - http://eudml.org/doc/44435
ER -