Monotone techniques and semilinear elliptic boundary value problems

K. J. Brown, Song-Sun Lin

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)139-149
Number of pages11
JournalProceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume80
Issue number1-2
DOIs
StatePublished - 1 Jan 1978

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