Two nontrivial solutions for quasilinear periodic equations

Papageorgiou, Evgenia; Papageorgiou, Nikolaos

doi:10.1090/S0002-9939-03-07076-X

Two nontrivial solutions for quasilinear periodic equations
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by Evgenia H. Papageorgiou and Nikolaos S. Papageorgiou PDF

Proc. Amer. Math. Soc. 132 (2004), 429-434 Request permission

Abstract:

In this paper we study a nonlinear periodic problem driven by the ordinary scalar p-Laplacian and with a Carathéodory nonlinearity. We establish the existence of at least two nontrivial solutions. Our approach is variational based on the smooth critical point theory and using the “Second Deformation Theorem".

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