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We consider a quasilinear differential equation with discontinuous right hand side and periodic boundary conditions. To obtain an existence theory we pass to a relevant multivalued variant of the original problem, which we solve. Our approach is a mixture of the variational method (for nonsmooth locally Lipschitz functionals) and of the method of upper and Iower solutions. The mixing of these two techniques is made possible by a nonresonance condition below the first nonzero eigenvalue of the one-dimensional p-Laplacian with periodic boundary conditions.
Wydawca
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Rocznik
Tom
Strony
753--770
Opis fizyczny
Bibliogr. 14 poz.
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autor
- National Technical University, Department of Mathematics, Zografou Campus, Athens 157 80, Greece
autor
- National Technical University, Department of Mathematics, Zografou Campus, Athens 157 80, Greece
Bibliografia
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-PWA1-0031-0008