Variational Inequalities with General Multivalued Lower Order Terms Given by Integrals
Abstract: This paper is about the existence and some properties of solutions of variational inequalities associated with the 2nd order inclusion div[A (x, ∇u)] + L ∈ f (x, u) in Ω, where the lower order term f (x, u) is a general multivalued function. Both coercive and noncoercive cases are considered. In the noncoercive case, we use a sub-supersolution approach to study the existence, comparison, and other properties of the solution set such as its compactness, directedness, and the existence of extremal solutions.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Variational Inequalities with General Multivalued Lower Order Terms Given by Integrals ; volume:11 ; number:1 ; year:2011 ; pages:1-24 ; extent:24
Advanced nonlinear studies ; 11, Heft 1 (2011), 1-24 (gesamt 24)
- Creator
-
Khoi, Vy
- DOI
-
10.1515/ans-2011-0101
- URN
-
urn:nbn:de:101:1-2405021706278.555121069263
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
14.08.2025, 10:49 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Khoi, Vy
Other Objects (12)
On systems of parabolic variational inequalities with multivalued terms
On Parabolic Variational Inequalities with Multivalued Terms and Convex Functionals
Elliptic Variational Inequalities with Discontinuous Multi-Valued Lower Order Terms
Variational inequalities with multivalued bifunctions
Multi-Valued Parabolic Variational Inequalities and Related Variational-Hemivariational Inequalities
Equivalence of Some Multi-Valued Elliptic Variational Inequalities and Variational-Hemivariational Inequalities
Regularity for nonlinear evolution variational inequalities with delay terms
A class of hyperbolic variational–hemivariational inequalities without damping terms
On solving variational inequalities defined on fixed point sets of multivalued mappings in Banach spaces
Aggregative Variational Inequalities
Some Results on the Approximation of Solutions of Variational Inequalities for Multivalued Maps on Banach Spaces
A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities
On systems of parabolic variational inequalities with multivalued terms
On Parabolic Variational Inequalities with Multivalued Terms and Convex Functionals
Elliptic Variational Inequalities with Discontinuous Multi-Valued Lower Order Terms
Variational inequalities with multivalued bifunctions
Multi-Valued Parabolic Variational Inequalities and Related Variational-Hemivariational Inequalities
Equivalence of Some Multi-Valued Elliptic Variational Inequalities and Variational-Hemivariational Inequalities
Regularity for nonlinear evolution variational inequalities with delay terms
A class of hyperbolic variational–hemivariational inequalities without damping terms
On solving variational inequalities defined on fixed point sets of multivalued mappings in Banach spaces
Aggregative Variational Inequalities
Some Results on the Approximation of Solutions of Variational Inequalities for Multivalued Maps on Banach Spaces
A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities
On systems of parabolic variational inequalities with multivalued terms
On Parabolic Variational Inequalities with Multivalued Terms and Convex Functionals
Elliptic Variational Inequalities with Discontinuous Multi-Valued Lower Order Terms
Variational inequalities with multivalued bifunctions
Multi-Valued Parabolic Variational Inequalities and Related Variational-Hemivariational Inequalities
Equivalence of Some Multi-Valued Elliptic Variational Inequalities and Variational-Hemivariational Inequalities
Regularity for nonlinear evolution variational inequalities with delay terms
A class of hyperbolic variational–hemivariational inequalities without damping terms
On solving variational inequalities defined on fixed point sets of multivalued mappings in Banach spaces
Aggregative Variational Inequalities
Some Results on the Approximation of Solutions of Variational Inequalities for Multivalued Maps on Banach Spaces