3.—A Criterion for the Existence of Solutions of Non-linear Elliptic Boundary Value Problems
- 1 January 1976
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 74, 49-54
- https://doi.org/10.1017/s030821050001653x
Abstract
By a new method it is proved that a non-linear elliptic boundary value problem of rather general type admits a weak solution lying between a given weak lower solution ϕ and a given weak upper solution ψ≧ϕKeywords
This publication has 3 references indexed in Scilit:
- Nonlinear perturbations of uncoupled systems of elliptic operatorsMathematische Annalen, 1974
- On the Existence of Positive Solutions of Nonlinear Elliptic Boundary value ProblemsIndiana University Mathematics Journal, 1971
- On the Existence of Positive Solutions of Nonlinear Elliptic Boundary value ProblemsIndiana University Mathematics Journal, 1971