37 citations · 102 across the 10 of their papers we have counts for
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math.AP2011★ 2 cited
Analysis of the singular solution branch of a prescribed mean curvature equation with singular nonlinearity
Nicholas D. Brubaker, Alan E. Lindsay
The existence and multiplicity of solutions to a quasilinear, elliptic partial differential equation (PDE) with singular non-linearity is analyzed. The PDE is a recently derived va…
math.AP2011★ 37 cited
Multiple Quenching Solutions of a Fourth Order Parabolic PDE with a singular nonlinearity modelling a MEMS Capacitor
Alan Lindsay, Joceline Lega
Finite time singularity formation in a fourth order nonlinear parabolic partial differential equation (PDE) is analyzed. The PDE is a variant of a ubiquitous model found in the fie…