Existence and multiplicity of solutions for nonlinear periodic problems with the scalar p-Laplacian and double resonance
β Scribed by Papageorgiou, Evgenia H.; Papageorgiou, Nikolaos S.
- Book ID
- 121240138
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 379 KB
- Volume
- 255
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
## Abstract In this paper we study a nonlinear second order periodic problem driven by a scalar __p__ βLaplacian 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
In the present paper, we consider the nonlinear periodic systems driven by a vectorial p-Laplacian with a locally Lipschitz nonlinearity. Some existence, multiplicity and subharmonic results are obtained by using non-smooth critical point theory.