RADIAL SOLUTIONS FOR WEIGHTED SEMILINEAR EQUATIONS

Author:

CATRINA FLORIN1,LAVINE RICHARD1

Affiliation:

1. Department of Mathematics, University of Rochester, Rochester, New York 14627, USA

Abstract

In this paper we prove the exact cut-off between existence and nonexistence of radial solutions in a class of problems of the Brezis–Nirenberg type. We obtain this by studying the existence/nonexistence of positive solutions in [Formula: see text] for -vtt+¼v=vp-1 +λe-ctv, for different values of the parameters c>0 and λ, for p≥2.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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