Resonant nonlinear periodic problems with the scalar $p$-Laplacian and a nonsmooth potential
KeywordsCritical point, linking sets, nonsmooth PS-condition, locally Lipschitz function, generalized subdifferential, double resonance, p-Laplacian
AbstractWe 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.
How to Cite
AIZICOVICI, Sergiu, PAPAGEORGIOU, Nikolaos S. & STAICU, Vasile. Resonant nonlinear periodic problems with the scalar $p$-Laplacian and a nonsmooth potential. Topological Methods in Nonlinear Analysis [online]. 1 June 2006, T. 27, nr 2, s. 269–288. [accessed 25.10.2021].
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