Multiple Solutions for Gradient Elliptic Systems with Nonsmooth Boundary Conditions

作者：Lisei Hannelore^*; Varga Csaba

来源：Mediterranean Journal of Mathematics, 2011, 8(1): 69-79.

DOI：10.1007/s00009-010-0052-1

• Nonhomogeneous Neumann boundary condition
• gradient elliptic system
• differential inclusions
• critical points

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. Kristaly, W. Marzantowicz, Cs. Varga (J. Global Optim. 2010).

• 出版日期2011-3