Gabriele Bonanno, Elisabetta Tornatore
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.
Submitted August 28, 2012. Published October 28, 2012.
Math Subject Classifications: 35J65, 35J20.
Key Words: Elliptic systems; variational problems; multiple solutions.
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Gabriele Bonanno Department of Civil, Information Technology, Construction, Environmental Engineering and Applied Mathematics University of Messina, 98166 - Messina, Italy email: bonanno@unime.it |
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Elisabetta Tornatore Dipartimento di Ingegneria Elettrica, Elettronica e delle Telecomunicazioni di Tecnologie Chimiche, Automatica e Modelli Matematici (DIEETCAM) Università degli studi di Palermo Viale delle Scienze, 90128 Palermo, Italy email: elisa.tornatore@unipa.it |
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