Some Existence Results and Properties of Solutions in Quasilinear Variational Inequalities with General Growths

Author

Vy Khoi Le, Missouri University of Science and TechnologyFollow

Editor(s)

Rao, Sree Hari

Abstract

This paper is about the existence and some properties of solutions of the boundary value problem: {−div(a(|∇u|)∇u)=f(x,u)inΩu=0on∂Ω, with the principal term a(|∇u|)∇u having general growth. In the non-coercive case, a sub-supersolution approach is applied to get existence and enclosure results. Other properties such as compactness of solution sets and existence of extremal solutions are also derived.

Recommended Citation

V. K. Le, "Some Existence Results and Properties of Solutions in Quasilinear Variational Inequalities with General Growths," Differential Equations and Dynamical Systems, Springer Verlag, Jan 2009.

The definitive version is available at https://doi.org/10.1007/s12591-009-0025-7

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0971-3514

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2009 Springer Verlag, All rights reserved.

Publication Date

01 Jan 2009