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

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Associated

  • Khoi, Vy

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