This paper deals with some perturbation of the so called prescribed scalar
Q-curvature type equations on compact Riemannian manifolds; these equations
are fourth order elliptic and of critical Sobolev growth. Sufficient
conditions are given to have at least two distinct solutions first without
using the concentration-compactness technic but with a suitable range of
the parameters and secondly by using the concentration-compactness methods.
Publié le : 2010-08-15
Classification:
Fourth order elliptic equation,
critical Sobolev exponent,
58J05
@article{1290608190,
author = {Benalili, Mohammed},
title = {Existence and multiplicity of solutions to fourth order
elliptic equations with critical exponent on compact manifolds},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {17},
number = {1},
year = {2010},
pages = { 607-622},
language = {en},
url = {http://dml.mathdoc.fr/item/1290608190}
}
Benalili, Mohammed. Existence and multiplicity of solutions to fourth order
elliptic equations with critical exponent on compact manifolds. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp. 607-622. http://gdmltest.u-ga.fr/item/1290608190/