Existence and multiplicity of solutions for nonlinear elliptic Dirichlet systems

The existence and multiplicity of solutions for systems of nonlinear elliptic equations with Dirichlet boundary conditions is investigated. Under suitable assumptions on the potential of the nonlinearity, the existence of one, two, or three solutions is established. Our approach is based on vari...

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Bibliographic Details
Main Authors: Gabriele Bonanno, Elisabetta Tornatore
Format: Article
Language:English
Published: Texas State University 2012-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/183/abstr.html