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SINGULAR SOLUTIONS OF A SEMI-LINEAR ELLIPTIC EQUATION ON NONSMOOTH DOMAINS
Book chapter

SINGULAR SOLUTIONS OF A SEMI-LINEAR ELLIPTIC EQUATION ON NONSMOOTH DOMAINS

pp.387-396
Nova Science Publishers, Inc
01/01/2009

Abstract

Mathematics Physical Sciences Science & Technology
Under general conditions on the signed Radon measure p we prove the existence of positive singular solutions for the problem Delta u + mu u(P) = 0, p > 1 on bounded NTA-domains in R(n), n >= 2. These results extend the recent ones proved by some authors to more general classes of potentials and domains. A new proof based on a simple fixed point argument is also given.

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