Infinitely many solutions for an elliptic system with nonlinear boundary conditions

In this paper we prove the existence of infinitely many nontrivial solutions of the system $Delta u = u, Delta v = v,$ with nonlinear coupling at the smooth boundary of a bounded domain of $mathbb{R}^N$. The proof, under suitable assumptions on the Hamiltonian, is based on variational arguments and...

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Bibliographic Details
Main Authors: Julian Fernandez Bonder, Juan Pablo Pinasco, Julio D. Rossi
Format: Article
Language:English
Published: Texas State University 2001-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/06/f1/abstr.html