Introduction
Abstract
In the study of a wide range of nonlinear elliptic and parabolic boundary value problems, the method of sub-supersolution has been proved to play an eminent role. This method is a powerful tool for establishing existence and enclosure results when coercivity of the operators related to the abstract formulation of the problems under consideration fails. Further qualitative properties such as the multiplicity and location of solutions or the existence of extremal solutions can also be investigated by means of the sub-supersolution method. As stationary and evolutionary variational inequalities of nonpotential type include, in general, nonlinear elliptic and parabolic boundary value problems as particular cases, it is desirable to extend the sub-supersolution method to variational inequalities in a way that preserves its characteristic features.
Recommended Citation
S. Carl and V. K. Le, "Introduction," Springer Monographs in Mathematics, pp. 1 - 8, Springer, Mar 2021.
The definitive version is available at https://doi.org/10.1007/978-3-030-65165-7_1
Department(s)
Mathematics and Statistics
International Standard Serial Number (ISSN)
1439-7382
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2021 Springer, All rights reserved.
Publication Date
03 Mar 2021
