Entire Solutions for a Quasilinear Problem in the Presence of Sublinear and Super-Linear Terms
Department of Mathematics, University of Brasília, 70910–900 Brasília, DF, Brazil
Boundary Value Problems 2009, 2009:845946 doi:10.1155/2009/845946Published: 13 October 2009
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.