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- Title
EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR ELLIPTIC DIRICHLET SYSTEMS.
- Authors
BONANNO, GABRIELE; TORNATORE, ELISABETTA
- 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, two, or three solutions is established. Our approach is based on variational methods.
- Subjects
BOUNDARY value problems; NONLINEAR analysis; DIRICHLET problem; MULTIPLICITY (Mathematics); ELLIPTIC equations
- Publication
Electronic Journal of Differential Equations, 2012, Vol 2012, p1
- ISSN
1550-6150
- Publication type
Article