Carlos Aranda, Tomas Godoy
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
| Tomas Godoy |
FaMAF, Universidad Nacional de Cordoba
Medina Allende y Haya de la Torre
Ciudad Universitaria, 5000 Cordoba, Argentina
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