Sub-Supersolution Theorems for Quasilinear Elliptic Problems: A Variational Approach

Author

Vy Khoi Le, Missouri University of Science and TechnologyFollow
Klaus Schmitt

Abstract

This paper presents a variational approach to obtain sub - super-solution theorems for a certain type of boundary value problem for a class of quasilinear elliptic partial differential equations. in the case of semilinear ordinary differential equations results of this type were first proved by Hans Knobloch in the early sixties using methods developed by Cesari.

Recommended Citation

V. K. Le and K. Schmitt, "Sub-Supersolution Theorems for Quasilinear Elliptic Problems: A Variational Approach," Electronic Journal of Differential Equations, vol. 2004, pp. 1 - 7, Texas State University; Department of Mathematics, Oct 2004.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Periodic solutions; Sub and supersolutions; Variational approach

International Standard Serial Number (ISSN)

1072-6691

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2024 Texas State University; Department of Mathematics, All rights reserved.

Creative Commons Licensing

This work is licensed under a Creative Commons Attribution 4.0 License.

Publication Date

07 Oct 2004