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Singular limit of quasilinear Neumann problems

Published online by Cambridge University Press:  14 November 2011

Xing-Bin Pan
Xing-Bin Pan
Affiliation:
Center for Mathematical Sciences, Zhejiang University, Hangzhou 310027, People's Republic of China
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Abstract

This paper is devoted to the study of the singular limit of the minimal solutions, as p → 1, of quasilinear Neumann problems involving p-Laplacian operators. It is established that the limit function is of bounded variation and is locally Höolder-continuous inside the domain.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 1 , 1995 , pp. 205 - 223
Copyright
Copyright © Royal Society of Edinburgh 1995

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