On a new notion of linking and application to elliptic problems at resonance

@inproceedings{Frigon2001OnAN,
title={On a new notion of linking and application to elliptic problems at resonance},
author={Marl{\`e}ne Frigon},
year={2001}
}

In this paper, we introduce a new notion of linking which includes in particular the notions of homotopical linking and local linking. Critical point theorems for continuous functionals on metric spaces are presented. Finally, an application to nonlinear elliptic problems at resonance is given. 1991 Mathematics Subject Classification. Primary 58E05; Secondary 35J20 Résumé Dans ce texte, une nouvelle notion d’enlacement incluant en particulier les notions d’enlacements homotopique et local est… CONTINUE READING