| A Priori Estimates for a Quasilinear Elliptic PDE |
| Received:November 27, 1995 |
| Key Words:
estimates elliptic queasilinear.
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| Fund Project:Supported by the Foundations of Henan Education Committee , and the Committeeon Science and Technology of Henan Province. |
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| Abstract: |
| In the recent past many results have been established on positive solutions to boundary value problems of the form - div (|Du(x)|p-2Du(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=B1={x∈RN; | x |<1} and f∈C1(0,∞)∩ C0([0,∞)), f(0)=0 . |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1998.03.010 |
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