103 citations · 184 across the 37 of their papers we have counts for
5 papers · 2 filters
Schrödinger-type equations with sign-changing nonlinearities: a survey
Bartosz Bieganowski
We are looking for solutions to nonlinear Schrödinger-type equations of the form where $V : \mathbb{R}^N…
Note on semiclassical states for the Schrödinger equation with nonautonomous nonlinearities
Bartosz Bieganowski, Jarosław Mederski
We consider the following Schrödinger equation where , , …
The semirelativistic Choquard equation with a local nonlinear term
Bartosz Bieganowski, Simone Secchi
We propose an existence result for the semirelativistic Choquard equation with a local nonlinearity in \begin{equation*} \sqrt{\strut -Δ+ m^2} u - mu + V(x)u = \left…
Systems of coupled Schrödinger equations with sign-changing nonlinearities via classical Nehari manifold approach
Bartosz Bieganowski
We propose existence and multiplicity results for the system of Schrödinger equations with sign-changing nonlinearities in bounded domains or in the whole space . In…
The fractional Schrödinger equation with Hardy-type potentials and sign-changing nonlinearities
Bartosz Bieganowski
We look for solutions to a fractional Schrödinger equation of the following form $$ (-Δ)^{α/ 2} u + \left( V(x) - \fracμ{|x|^α} \right) u = f(x,u)-K(x)|u|^{q-2}u\hbox{ on }\mathbb{…