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Existence and uniqueness of positive radial solutions for a class of quasilinear elliptic equations
Authors:Zongming Guo
Institution:1. Department of Mathematics , University of Glasgow , G12 8QW, Glasgow, UK;2. Henan Normal University , Xinxiang, 453002, P. R. China
Abstract:The existence and uniqueness of positive radial solutions of the equations of the type IML0001] in BR, p>1 with Dirichlet condition are proved for λ large enough and f satisfying a conditionIML0002] is non-decreasing on IML0003] It is also proved that all the positive solutions in C1 0(BR) of the above equations are radially symmetric solutions for f satisfying IML0004] and λ large enough.
Keywords:Degenerate quasilinear elliptic equations  generalized Serrin's sweeping principle  positive radial solutions  uniqueness
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