12 citations · 12 across the 2 of their papers we have counts for
Showing math.APShow all
2 papers · 1 filter
math.AP2014
Mesh-independent a priori bounds for nonlinear elliptic finite difference boundary value problems
P. J. McKenna, W. Reichel, A. Verbitsky
In this paper we prove mesh independent a priori -bounds for positive solutions of the finite difference boundary value problem $$ -Δ_h u = f(x,u) \mbox{ in } Ω_h, \quad…
math.AP2012★ 12 cited
A Computer-Assisted Uniqueness Proof for a Semilinear Elliptic Boundary Value Problem
Patrick J. McKenna, Filomena Pacella, Michael Plum +1
A wide variety of articles, starting with the famous paper (Gidas, Ni and Nirenberg in Commun. Math. Phys. 68, 209-243 (1979)) is devoted to the uniqueness question for the semilin…