Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842201 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 6 Pages |
Abstract
We establish a result concerning the existence of entire, positive, classical and bounded solutions which converge to zero at infinity for the semi-linear equation âÎu=λf(x,u),xâRN, where f:RNÃ(0,â)â[0,â) is a suitable function and λ>0 is a real parameter. This result completes the principal theorem of A. Mohammed [A. Mohammed, Ground state solutions for singular semi-linear elliptic equations, Nonlinear Analysis (2008) doi:10.1016/j.na.2008.11.080] mainly because his result does not address the super-linear terms at infinity. Penalty arguments, lower-upper solutions and an approximation procedure will be used.
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Authors
C.A. Santos,