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math.AP2023
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…
math.AP2014
A Landesman-Lazer type result for periodic parabolic problems on at resonance
Aleksander Cwiszewski, Renata Lukasiak
We are concerned with -periodic solutions of nonautonomous parabolic problem of the form , , , with $V \in L^\infty (\mat…
math.AP2012
Positive stationary solutions for p-Laplacian problems with nonpositive perturbation
Aleksander Cwiszewski, Mateusz Maciejewski
The paper is devoted to the existence of positive solutions of nonlinear elliptic equations with -Laplacian. We provide a general topological degree that detects solutions of th…