Multiple Solutions for Gradient Elliptic Systems with Nonsmooth Boundary Conditions |
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Authors: | Hannelore Lisei Csaba Varga |
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Institution: | (3) I.R.E.M.I.A., University de la R?union, Saint-Denis, France;(4) Department Mat., University Al.I.Cuza, Iasi, Romania; |
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Abstract: | In this paper we prove the existence of at least three solutions of gradient elliptic systems with nonhomogeneous and nonsmooth
Neumann boundary conditions. Our investigations complete the results of J. Fernandez Bonder, S. Martinez, J.D. Rossi (NoDEA
Nonlinear Differential Equations Appl. 2007). We use a recent generalization of a three critical points theorem of B. Ricceri
(Nonlinear Anal. 2008) for locally Lipschitz functionals given by A. Kristály, W. Marzantowicz, Cs. Varga (J. Global Optim.
2010). |
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Keywords: | |
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