Adam Konysz

collaborators

3 papers

math.AP2026

Nonlinear SchrÃ¶dinger equations with a critical, inverse-square potential

Bartosz Bieganowski, Adam Konysz, Simone Secchi

We study the existence of solutions of the following nonlinear SchrÃ¶dinger equation $- I^ u + V (x) u - \frac{( N - 2 ) ^{2}}{4∣ x ∣ ^{2}} u = f (x, u)$ where $V : R^{N} \to R$ and $f:\mat…

math.AP2025

Note on elliptic equations on closed manifolds with singular nonlinearities

Bartosz Bieganowski, Adam Konysz

We consider a general elliptic equation $- I^_{g} u + V (x) u = f (x, u) + g (x, u^{2}) u$ on a closed Riemannian manifold $(M, g)$ and utilize a recent variational approach by Hebey, Pacard, Po…

math.AP2025

Semiclassical states for the curl-curl problem

Bartosz Bieganowski, Adam Konysz, JarosÅaw Mederski

We show the existence of the so-called semiclassical states $U : R^{3} \to R^{3}$ to the following curl-curl problem $$ \varepsilon^2\; \nabla \times (\nabla \ti…