Electron. J. Diff. Equ., Vol. 2014 (2014), No. 220, pp. 1-22.

Quasilinear problems with two parameters including superlinear and gradient terms

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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