Electron. J. Diff. Equ., Vol. 2012 (2012), No. 183, pp. 1-11.

Existence and multiplicity of solutions for nonlinear elliptic Dirichlet systems

Gabriele Bonanno, Elisabetta Tornatore

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.

Show me the PDF file (247 KB), TEX file, and other files for this article.

Gabriele Bonanno
Department of Civil, Information Technology, Construction,
Environmental Engineering and Applied Mathematics
University of Messina, 98166 - Messina, Italy
email: bonanno@unime.it
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

Return to the EJDE web page