4 citations · 8 across the 13 of their papers we have counts for
15 papers
Standing waves for Schrodinger equations with Kato class potentials and -bounded nonlinearities
Aleksander Ćwiszewski, Piotr Kokocki
We establish the existence of standing waves for a nonlinear Schrodinger equation with potentials belonging to the Kato class and an -bounded nonlinearity, whose Lipschit…
Effects of Marine Reserve Creation in Single Species and Prey-Predator Models
Aleksander Ćwiszewski, Sławomir Plaskacz
Single species fisheries and prey-predator models with marine protected areas (MPA) are studied. The single species case is considered when the fishing effort is around the species…
Standing Waves for Schrödinger Equations with Kato-Rellich potentials
Aleksander Ćwiszewski, Piotr Kokocki
We show the existence of standing waves for the nonlinear Schrödinger equation with Kato-Rellich type potential. We consider both resonant with the nonlinearity satisfying one of L…
Invariance and Strict Invariance for Nonlinear Evolution Problems with Applications
Aleksander Ćwiszewski, Grzegorz Gabor, Wojciech Kryszewski
Sufficient conditions for the invariance of evolution problems governed by perturbations of (possibly nonlinear) -accretive operators are provided. The conditions for the invari…
Period Estimates for Autonomous Evolution Equations with Lipschitz Nonlinearities
Aleksander Ćwiszewski, Władysław Klinikowski
We derive an estimate for the minimal period of autonomous strongly damped hyperbolic problems. Our result corresponds to the works by Yorke, Busenberg et al. for ordinary differen…
Bifurcation from infinity for elliptic problems on
Aleksander Ćwiszewski, Wojciech Kryszewski
In the paper the asymptotic bifurcation of solutions to a parameterized stationary semilinear Schrödinger equation involving a potential of the Kato-Rellich type is studied. It is…