Multiple positive solutions for a class of concave–convex elliptic problems in RN involving sign-changing weight
- Wu, Tsung-fang
DOIAbstract
AbstractIn this paper, we study the multiplicity of positive solutions for the following concave–convex elliptic equation:{−Δu+u=fλ(x)uq−1+gμ(x)up−1in RN,u⩾0in RN,u∈H1(RN), where 1<q<2<p<2* (2*=2NN−2 if N⩾3, 2*=∞ if N=1,2) and the parameters λ,μ⩾0. We assume that fλ(x)=λf+(x)+f−(x) is sign-changing and gμ(x)=a(x)+μb(x), where the functions f±, a and b satisfy suitable conditions
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