Research Article
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:10.1155/2009/845946
Published: 13 October 2009Abstract
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.
