Open Access Research Article

Entire Solutions for a Quasilinear Problem in the Presence of Sublinear and Super-Linear Terms

CA Santos

Author Affiliations

Department of Mathematics, University of Brasília, 70910–900 Brasília, DF, Brazil

Boundary Value Problems 2009, 2009:845946  doi:10.1155/2009/845946

Published: 13 October 2009

Abstract

We establish new results concerning existence and asymptotic behavior of entire, positive, and bounded solutions which converge to zero at infinite for the quasilinear equation where are suitable functions and are not identically zero continuous functions. We show that there exists at least one solution for the above-mentioned problem for each for some . Penalty arguments, variational principles, lower-upper solutions, and an approximation procedure will be explored.