Sub-supersolution Theorems for Quasilinear Elliptic Problems: a Variational Approach
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.
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.
Mathematics and Statistics
Keywords and Phrases
Periodic solutions; sub and supersolutions; variational approach
Article - Journal
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