In the recent past many results have been established on positive solutions to boundary value problems of the form- div (|Du(x)| p-2 Du(x))=λf(u(x))} in} Ω, u(x)=0 on Ω,where λ>0, Ω is a bounded...In the recent past many results have been established on positive solutions to boundary value problems of the form- div (|Du(x)| p-2 Du(x))=λf(u(x))} in} Ω, u(x)=0 on Ω,where λ>0, Ω is a bounded smooth domain and f(s)≥ 0 for s≥ 0 . In this paper we study a priori estimates of positive radial solutions of such problems when N>p>1, Ω=B 1={x∈R N ; | x |<1} and f∈C 1(0,∞)∩ C 0([0,∞)), f(0)=0 .展开更多
文摘In the recent past many results have been established on positive solutions to boundary value problems of the form- div (|Du(x)| p-2 Du(x))=λf(u(x))} in} Ω, u(x)=0 on Ω,where λ>0, Ω is a bounded smooth domain and f(s)≥ 0 for s≥ 0 . In this paper we study a priori estimates of positive radial solutions of such problems when N>p>1, Ω=B 1={x∈R N ; | x |<1} and f∈C 1(0,∞)∩ C 0([0,∞)), f(0)=0 .
