Multiplicity of solutions for gradient systems

We establish the existence of nontrivial solutions for an elliptic system which is resonant both at the origin and at infinity. The resonance is given by an eigenvalue problem with indefinite weight, and the nonlinear term is permitted to be unbounded. Also, we consider the case where the resona...

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Bibliographic Details
Main Author: Edcarlos D. Da Silva
Format: Article
Language:English
Published: Texas State University 2010-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/64/abstr.html