Sub-supersolution Theorems for Quasilinear Elliptic Problems: a Variational Approach
Abstract
This paper presents a variational approach to obtain sub - supersolution 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, Southwest Texas State University, Jan 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
Citation
File Type
text
Language(s)
English
Rights
© 2004 Southwest Texas State University, All rights reserved.
Publication Date
01 Jan 2004