Lomte, G.C. and Dhaigude, R.M. (2013) Maximum Principles for Fourth Order Semilinear Elliptic Boundary Value Problems. Malaya Journal of Matematik, 1, 44-48.
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.