Article ID Journal Published Year Pages File Type
4612235 Journal of Differential Equations 2010 28 Pages PDF
Abstract

We consider the following equationΔpu(x)+f(u,|x|)=0,Δpu(x)+f(u,|x|)=0, where x∈Rnx∈Rn, n>p>1n>p>1, and we assume that f   is negative for |u||u| small and limu→+∞f(u,0)u|u|q−2=a0>0 where p∗=p(n−1)n−p2q1>2. We manage to prove the existence of a radial ground state, for more generic functions f(u,|x|)f(u,|x|) and also in the case p>2p>2 and 1

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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