Sur un théorème de point critique et application à un problème de non-résonance entre deux valeurs propres du $p$-laplacien

@inproceedings{Anane2000SurUT,
  title={Sur un th{\'e}or{\`e}me de point critique et application {\`a} un probl{\`e}me de non-r{\'e}sonance entre deux valeurs propres du \$p\$-laplacien},
  author={A. Anane and Omar Chakrone},
  year={2000}
}
We establish an abstract theorem of critical point which constitute a generalization of classical links theorems. We also establish some variational characterizations of the p-laplacian spectrum. As application we prove the existence of solution of the problem (7~) : : with conditions on the behaviour of the ratios : f ~x’ s) and s) H~ between two consécutive eigenvalues values of the p-laplacian where F is a potential of f. ~ * ~ ) Reçu le 9 mars 1998, accepté le 28 février 2000 ~ ) Universit… CONTINUE READING