A CLASS OF NONLINEAR ELLIPTIC PROBLEMS WITH NONCONVEX CONSTRAINTS ANDAPPLICATIONS

Authors
CHEMETOV N RODRIGUES JF
Citation
N. Chemetov et Jf. Rodrigues, A CLASS OF NONLINEAR ELLIPTIC PROBLEMS WITH NONCONVEX CONSTRAINTS ANDAPPLICATIONS, Proceedings of the Edinburgh Mathematical Society, 41, 1998, pp. 333-357
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Proceedings of the Edinburgh Mathematical Society → ACNP
ISSN journal
00130915
Volume
41
Year of publication
1998
Part
2
Pages
333 - 357
Database
ISI
SICI code
0013-0915(1998)41:<333:ACONEP>2.0.ZU;2-F
Abstract
Conditions for the existence of solutions of a class of elliptic probl ems with nonconvex constraints are given in the general framework of p seudo-monotone operators. Applications are considered in unilateral pr oblems of free boundary type, yielding the solvability of a Reynold's lubrication model and of a biological population problem with nonlocal terms and global constraints.