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A class of nonlinear elliptic problems with nonconvex constraints and applications

Published online by Cambridge University Press:  20 January 2009

N. Chemetov  and
J. F. Rodrigues
N. Chemetov
Affiliation:
Departamento de Matemática, Universidade Independente, Av. Marechal Gomes da Costa, 9 P-1800 Lisboa, Portugal
J. F. Rodrigues
Affiliation:
Centro de Matemática e Apliçacōes Fundamentais, Universidade de Lisboa, Av. Prof. Gama Pinto, 2 P-1699 Lisboa Codex, Portugal
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Abstract

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Conditions for the existence of solutions of a class of elliptic problems with nonconvex constraints are given in the general framework of pseudo-monotone operators. Applications are considered in unilateral problems 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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 2 , June 1998 , pp. 333 - 357
Copyright
Copyright © Edinburgh Mathematical Society 1998

References

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