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, or two, or three solutions is established. Our approach is based on variational methods.
Tornatore, E., Bonanno, G. (2012). Existence and multiplicity of solutions for non linear elliptic Dirichlet systems. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012(183).
Existence and multiplicity of solutions for non linear elliptic Dirichlet systems
TORNATORE, Elisabetta;
2012-01-01
Abstract
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, or two, or three solutions is established. Our approach is based on variational methods.
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