Dhaigude, D.B., Dhaigude, R.M. and Lomte, G.C. (2012) Maximum Principles for Fourth Order Uniformly Elliptic Equations with Applications. International Journal of Applied Mathematical Research, 3, 248-258.

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.