Lu, W.D. and Wang, J.H. (1981) Maximum Principles for Some Semilinear Elliptic Equations of Fourth Order, and Their Application. Sichuan Daxue Xuebao, 4, 33-45. (In Chinese)
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.