TITLE:
A Maximum Principle Result for a General Fourth Order Semilinear Elliptic Equation
AUTHORS:
A. Mareno
KEYWORDS:
Nonlinear, Fourth Order, Partial Differential Equation, Semilinear
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.8,
August
30,
2016
ABSTRACT: We obtain maximum principles for solutions of some general fourth order elliptic equations by modifying an auxiliary function introduced by L.E. Payne. We give a brief application of these maximum principles by deducing apriori bounds on a certain quantity of interest.