USA-Chile Workshop on Nonlinear Analysis,
Electron. J. Diff. Eqns., Conf. 06, 2001, pp. 141-154.
Infinitely many solutions for an elliptic system with nonlinear
boundary conditions
Julian Fernandez Bonder, Juan Pablo Pinasco, & Julio D. Rossi
Abstract:
In this paper we prove the existence of infinitely many
nontrivial solutions of the system
,
,
with nonlinear coupling at the smooth boundary of a
bounded domain of
.
The proof, under suitable assumptions on the Hamiltonian, is based
on variational arguments and on the Fountain Theorem of the critical
Published January 8, 2001.
Math Subject Classifications: 35J65, 35J50, 35J55.
Key Words: Elliptic systems, nonlinear boundary conditions,
variational problems.
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Julian Fernandez Bonder
Departamento de Matem\'atica, FCEyN
UBA (1428) Buenos Aires, Argentina
e-mail: jfbonder@dm.uba.ar
Juan Pablo Pinasco
Universidad de San Andres
Vito Dumas 284 (1684), Prov. Buenos Aires, Argentina
e-mail: jpinasco@udesa.edu.ar
Julio D. Rossi
Departamento de Matem\'atica, FCEyN
UBA (1428) Buenos Aires, Argentina
e-mail: jrossi@dm.uba.ar
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