SOLUTIONS TO THE PLATEAU-PROBLEM FOR THE PRESCRIBED MEAN-CURVATURE EQUATION VIA THE MOUNTAIN PASS LEMMA

Authors
DOZO EL MARIANI MC
Citation
El. Dozo et Mc. Mariani, SOLUTIONS TO THE PLATEAU-PROBLEM FOR THE PRESCRIBED MEAN-CURVATURE EQUATION VIA THE MOUNTAIN PASS LEMMA, Studies in applied mathematics, 96(3), 1996, pp. 351-358
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
Studies in applied mathematics → ACNP
ISSN journal
00222526
Volume
96
Issue
3
Year of publication
1996
Pages
351 - 358
Database
ISI
SICI code
0022-2526(1996)96:3<351:STTPFT>2.0.ZU;2-A
Abstract
Assuming that a function g solves the classical Plateau problem for a disc-type surface, we give conditions on a non zero function H in R(3) With respect to g to obtain multiple weak solutions to the correspond ing problem with mean curvature H.