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Compatibility phenomena in singular problems

Published online by Cambridge University Press:  03 December 2013

Sun Yijing*
Affiliation:
Department of Mathematics, University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China (yjsun@ucas.ac.cn)

Abstract

We derive a compatible condition between coefficients and negative exponents, which is optimal for H01-solutions of strongly singular problems. This allows us to establish the existence of H01-solutions for p ≥ 3. Our proof is based on a variational argument.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2013 

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