SOME NEW APPLICATIONS OF THE METHOD OF LOWER AND UPPER SOLUTIONS TO ELLIPTIC PROBLEMS

Authors
CANADA A GAMEZ JL
Citation
A. Canada et Jl. Gamez, SOME NEW APPLICATIONS OF THE METHOD OF LOWER AND UPPER SOLUTIONS TO ELLIPTIC PROBLEMS, Applied mathematics letters, 6(6), 1993, pp. 41-45
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
6
Issue
6
Year of publication
1993
Pages
41 - 45
Database
ISI
SICI code
0893-9659(1993)6:6<41:SNAOTM>2.0.ZU;2-0
Abstract
Motivated by the application to some degenerate elliptic problems (her e, degenerate means nonlinear diffusion), we propose a new monotone sc heme of iteration which provides the existence of a minimal and a maxi mal solution between a sub-solution and a (greater) super-solution. We apply this result to some problems arising from biology.