Electron. J. Diff. Eqns., Vol. 2002(2002), No. 49, pp. 1-13.
Existence of solutions for elliptic systems with
critical Sobolev exponent
Pablo Amster, Pablo De Napoli, & Maria Cristina Mariani
Abstract:
We establish conditions for existence and for nonexistence of
nontrivial solutions to an elliptic system of partial differential
equations. This system is of gradient type and has a nonlinearity
with critical growth.
Submitted January 2, 2002. Published June 2, 2002.
Math Subject Classifications: 35J50
Key Words: Elliptic Systems, Critical Sobolev exponent,
variational methods.
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Pablo Amster
Departamento de Matematica,
Facultad de Ciencias Exactas y Naturales,
Universidad de Buenos Aires,
Pab. I, Ciudad Universitaria (1428),
Buenos Aires, Argentina
e-mail: pamster@dm.uba.ar |
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Pablo De Napoli
Departamento de Matematica,
Facultad de Ciencias Exactas y Naturales,
Universidad de Buenos Aires,
Pab. I, Ciudad Universitaria (1428),
Buenos Aires, Argentina
e-mail: pdenapo@dm.uba.ar |
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Maria Cristina Mariani
Departamento de Matematica,
Facultad de Ciencias Exactas y Naturales,
Universidad de Buenos Aires,
Pab. I, Ciudad Universitaria (1428),
Buenos Aires, Argentina
e-mail: mcmarian@dm.uba.ar |
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