Existence of Positive Solution to a Quasilinear Elliptic Problem in <B>R</B><SUP>N</SUP>
Journal Title: Surveys in Mathematics and its Applications - Year 2006, Vol 1, Issue 0
Abstract
In this paper we prove the existence of positive solution for the following quasilinear problem <BR>∆<sub>p</sub>u = a(x)f(u) in <B>R</B><sup>N</sup> <BR>u > l >0 in <B>R</B><sup>N</sup> <BR>u(x) → l, as |x| → ∞ <BR>where ∆<sub>p</sub>(1 < p < ∞) is the p -Laplacian operator.The proof is based on the results due to Diaz-Saa [Revista de Mathematicas aplicadas, 2000].
Authors and Affiliations
Dragos Patru Covei
Keywords
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