Existence and multiplicity of solutions for the noncoercive Neumann p-Laplacian
We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator with a nonsmooth potential (hemivariational inequality). Using variational techniques based on the smooth critical point theory and the second deformation theorem, we prove an existence theorem and a multipl...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2010-07-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/conf-proc/18/p1/abstr.html |
Summary: | We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator with a nonsmooth potential (hemivariational inequality). Using variational techniques based on the smooth critical point theory and the second deformation theorem, we prove an existence theorem and a multiplicity theorem, under hypothesis that in general do not imply the coercivity of the Euler functional. |
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ISSN: | 1072-6691 |