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- W2014663344 abstract "In this paper we will study the problem of existence of positive solutions to the problem (D){(a(r)ϕ(u′))′+b(r)g(u)=0, a.e. in (0,R),limr→0a(r)ϕ(u′(r))=0,u(R)=0, where ϕ is an odd increasing homeomorphism of R and g∈C(R) is such that g(z)>0 for all z>0 with g(0)=0. The functions a and b, that we will refer to as weight functions, satisfy a(r)>0, b(r)>0 for all r∈(0,R] and are such that a,b∈C1(0,R]∩L1(0,R). If ϕ has the form ϕ(z)=zm(|z|), and a(r)=rN−1ã(r),b(r)=rN−1b̃(r),N≥2, then solutions of problem (D) provide solutions with radial symmetry for the problem (P){div(ã(|x|)m(|∇u|)∇u)+b̃(|x|)g(u)=0,x∈Ω,u=0,x∈∂Ω, where Ω=B(0,R) denotes the ball with center 0 and radius R>0 in RN." @default.
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- W2014663344 date "2009-08-01" @default.
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- W2014663344 title "Positive solutions for a class of equations with a p-Laplace like operator and weights" @default.
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- W2014663344 doi "https://doi.org/10.1016/j.na.2008.11.094" @default.
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