Manuela C. Rezende, Carlos A. Santos
Abstract:
In this article, we establish conditions for the existence of
solutions for a quasilinear elliptic two-parameter problem with
dependence on the gradient term in smooth bounded domains or in the
whole space R^N. We consider superlinear and asymptotically linear terms.
Estimates on the values of two parameters for which the problem have
solutions are provided.
Submitted April 10, 2013. Published October 21, 2014.
Math Subject Classifications: 35J92, 35J75, 35B08, 35B09.
Key Words: p-Laplacian; entire solutions; superlinear; sublinear; gradient term.
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Manuela C. Rezende Departamento de Matemática, Universidade de Brasília 70910-900 Brasília, DF - Brasil email: manuela@mat.unb.br | |
Carlos A. Santos Departamento de Matemática, Universidade de Brasília 70910-900 Brasília, DF - Brasil email: csantos@unb.br |
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