3 papers
math.AP2018
On wave equations of the -Laplacian type with supercritical nonlinearities
Nicholas J. Kass, Mohammad A. Rammaha
This article focuses on a quasilinear wave equation of -Laplacian type: \[ u_{tt} - Δ_p u -Δu_t = f(u) \] in a bounded domain with a sufficiently smooth…
math.AP2017
Local and global existence of solutions to a strongly damped wave equation of the -Laplacian type
Nicholas J. Kass, Mohammad A. Rammaha
This article focuses on a quasilinear wave equation of -Laplacian type: in a bounded domain with a sufficiently smooth bounda…
math.CO2016
Homomorphisms into loop-threshold graphs
Jonathan Cutler, Nicholas Kass
Many problems in extremal graph theory correspond to questions involving homomorphisms into a fixed image graph. Recently, there has been interest in maximizing the number of homom…