Monotone techniques and semilinear elliptic boundary value problems

K. J. Brown; Song-Sun Lin

doi:10.1017/S0308210500010179

Monotone techniques and semilinear elliptic boundary value problems

K. J. Brown, Song-Sun Lin

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

This paper considers semilinear elliptic boundary value problems of the form where the partial derivative ∂f/∂u is bounded above by the least eigenvalue of the linear elliptic operator L. Existence and uniqueness of solutions is proved by using monotone operator theory and sub and supersolution techniques.

Original language	English
Pages (from-to)	139-149
Number of pages	11
Journal	Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume	80
Issue number	1-2
DOIs	https://doi.org/10.1017/S0308210500010179
State	Published - 1 Jan 1978

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title = "Monotone techniques and semilinear elliptic boundary value problems",

abstract = "This paper considers semilinear elliptic boundary value problems of the form where the partial derivative ∂f/∂u is bounded above by the least eigenvalue of the linear elliptic operator L. Existence and uniqueness of solutions is proved by using monotone operator theory and sub and supersolution techniques.",

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Monotone techniques and semilinear elliptic boundary value problems

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