Resonant nonlinear periodic problems with the scalar $p$-Laplacian and a nonsmooth potential

Sergiu Aizicovici, Nikolaos S. Papageorgiou, Vasile Staicu

DOI: http://dx.doi.org/10.12775/TMNA.2006.011

Abstract


We study periodic problems driven by the scalar $p$-Laplacian with a nonsmooth
potential. Using the nonsmooth critical point theory for locally Lipschitz
functions, we prove two existence theorems under conditions of resonance at
infinity with respect to the first two eigenvalues of the negative scalar
$p$-Laplacian with periodic boundary conditions.

Keywords


Critical point; linking sets; nonsmooth PS-condition; locally Lipschitz function; generalized subdifferential; double resonance; p-Laplacian

Full Text:

FULL TEXT

Refbacks

  • There are currently no refbacks.

Partnerzy platformy czasopism