Mareno, A. (2011) Maximum Principles for Some Higher Order Semilinear Elliptic Equations. Glasgow Mathematical Journal, 53, 313-320. http://dx.doi.org/10.1017/S001708951000073X
has been cited by the following article:
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.