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dc.contributor.authorAgarwal, Ravi P.
dc.contributor.authorFilippakis, Michael E.
dc.contributor.authorO'Regan, Donal
dc.contributor.authorPapageorgiou, Nikolaos S.
dc.date.accessioned2017-10-16T17:06:52Z
dc.date.available2017-10-16T17:06:52Z
dc.date.issued2009-01-23
dc.identifier.citationAgarwal, R. P., Filippakis, M. E., O'Regan, D., & Papageorgiou, N. S. (2009). Constant sign and nodal solutions for problems with the p-laplacian and a nonsmooth potential using variational techniques. Boundary Value Problems, 2009, 1-32.en_US
dc.identifier.urihttp://hdl.handle.net/11141/1976
dc.descriptionp-Laplacian, nonsmooth, p-linear problems.en_US
dc.description.abstractWe consider a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition. Using a variational approach based on nonsmooth critical point theory together with the method of upper and lower solutions, we prove the existence of at least three nontrivial smooth solutions: one positive, the second negative, and the third sign changing (nodal solution). Our hypotheses onthe nonsmooth potential incorporate in our framework of analysis the so-called asymptotically p-linear problems.en_US
dc.language.isoen_USen_US
dc.rightsCopyright 2009 Ravi P. Agarwal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcodeen_US
dc.titleConstant sign and nodal solutions for problems with the p-Laplacian and a nonsmooth potential using variational techniquesen_US
dc.typeArticleen_US
dc.identifier.doi10.1155/2009/820237


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Copyright 2009 Ravi P. Agarwal et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and
reproduction in any medium, provided the original work is properly cited.
Except where otherwise noted, this item's license is described as Copyright 2009 Ravi P. Agarwal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.