Some multiplicity results to the existence of three solutions for a dirichlet boundary value problem involving the p-laplacian
Abstract
In this paper we prove the existence of two intervals of positive real parameters λ for a Dirichlet boundary value problem involving the p-Laplacian which admit three weak solutions, whose norms are uniformly bounded with respect to λ belonging to one of the two intervals. Our main tool is a three critical points theorem due to G. Bonanno [A critical points theorem and nonlinear differential problems, J. Global Optim., 28:249–258, 2004].
Keywords:
three solutions, critical point, variational methods, multiplicity results, Dirichlet problemHow to Cite
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Copyright (c) 2011 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2011 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.