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

 
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2006 (EN)

Resonant nonlinear periodic problems with the scalar p-Laplacian and a nonsmooth potential (EN)

Aizicovici, S (EN)
Papageorgiou, NS (EN)
Staicu, V (EN)

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. (EN)

journalArticle (EN)

critical point (EN)
p-Laplacian (EN)
linking sets (EN)
nonsmooth PS-condition (EN)
generalized subdifferential (EN)
DIFFERENTIAL-EQUATIONS (EN)
Mathematics (EN)
locally Lipschitz function (EN)
double resonance (EN)


TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS (EN)

English

2006 (EN)

ISI:000238636000004 (EN)
2 (EN)
288 (EN)
27 (EN)
269 (EN)
1230-3429 (EN)

JULIUSZ SCHAUDER CENTER NONLINEAR STUDIES (EN)




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