A DIRICHLET PROBLEM FOR AN H-SYSTEM WITH VARIABLE H

Citation
El. Dozo et Mc. Mariani, A DIRICHLET PROBLEM FOR AN H-SYSTEM WITH VARIABLE H, Manuscripta mathematica, 81(1-2), 1993, pp. 1-14
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00252611
Volume
81
Issue
1-2
Year of publication
1993
Pages
1 - 14
Database
ISI
SICI code
0025-2611(1993)81:1-2<1:ADPFAH>2.0.ZU;2-2
Abstract
We give conditions on H, a continuous and bounded real function in R(3 ),to obtain at least two solutions for the problem (Dir) below. H can be far from being constant in the sense of [9]. Our motivation is a be tter understanding of the Plateau problem for the prescribed mean curv ature equation.