3 papers
math.AP2020
Strong maximum principle and boundary estimates for nonhomogeneous elliptic equations
Niklas L. P. Lundström, Marcus Olofsson, Olli Toivanen
We give a simple proof of the strong maximum principle for viscosity subsolutions of fully nonlinear elliptic PDEs on the form under suitable structure con…
math.AP2017
Existence, uniqueness and regularity of solutions to systems of nonlocal obstacle problems related to optimal switching
Niklas L. P. Lundström, Marcus Olofsson, Thomas Önskog
We study viscosity solutions to a system of nonlinear degenerate parabolic partial integro-differential equations with interconnected obstacles. This type of problem occurs in the…
math.DS2017
Estimates of size of cycle in a predator-prey system
Niklas L. P. Lundström, Gunnar Söderbacka
We consider a Rosenzweig-MacArthur predator-prey system which incorporates logistic growth of the prey in the absence of predators and a Holling type II functional response for int…