Upper and lower solutions and semilinear second order elliptic equations with non-linear boundary conditions
- 1 January 1984
- journal article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 97, 199-207
- https://doi.org/10.1017/s030821050003198x
Abstract
Synopsis: A general framework is presented for the proof of the existence of classical solutions of second order elliptic equations which satisfy non-linear boundary conditions. The results obtained contain many of the known theorems for such problems and the approach used unifies the various methods of study based upon upper and lower solutions.This publication has 5 references indexed in Scilit:
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