Multiple Solutions for Gradient Elliptic Systems with Nonsmooth Boundary Conditions

被引:0
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作者
Hannelore Lisei
Csaba Varga
机构
[1] Babeş-Bolyai University,Faculty of Mathematics and Computer Science
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关键词
34A60; 47J20; 49J52; Nonhomogeneous Neumann boundary condition; gradient elliptic system; differential inclusions; critical points;
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摘要
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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页码:69 / 79
页数:10
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