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Solutions and multiple solutions for problems with thep-Laplacian

✍ Scribed by Shouchuan Hu; Nikolaos S. Papageorgiou

Book ID: 106198464
Publisher: Springer Vienna
Year: 2007
Tongue: English
Weight: 154 KB
Volume: 150
Category: Article
ISSN: 0026-9255
DOI: 10.1007/s00605-006-0432-6

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## Abstract In this paper we study a nonlinear second order periodic problem driven by a scalar __p__ ‐Laplacian and with a nonsmooth, locally Lipschitz potential function. Using a variational approach based on the nonsmooth critical point theory for locally Lipschitz functions, we first prove the