Carlos Aranda, Tomas Godoy
Abstract:
Consider the problem
with
on the boundary, where
,
is a strictly convex bounded and
domain in
with
, and
.
Under suitable assumptions on
and
that allow a singularity of
at the origin, we show that for
positive and small enough the above problem has at least
two positive solutions in
and that
is a bifurcation point from infinity.
The existence of positive solutions for problems of the form
in
,
on
is also studied.
Submitted June 18, 2004. Published November 16, 2004.
Math Subject Classifications: 35J60, 35J65.
Key Words: Singular problems; p-laplacian operator;
nonlinear eigenvalue problems.
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Carlos Aranda Departamento de Matematica de la Facultad de Ciencias Universidad de Tarapaca Av. General Velasquez 1775 Casilla 7-D, Arica, Chile email: caranda@uta.cl |
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Tomas Godoy FaMAF, Universidad Nacional de Cordoba Medina Allende y Haya de la Torre Ciudad Universitaria, 5000 Cordoba, Argentina email: godoy@mate.uncor.edu |
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