Andrzej Szulkin

collaborators

2 papers

math.AP2016

Generalized Nehari manifold and semilinear Schrödinger equation with weak monotonicity condition on the nonlinear term

Francisco Odair de Paiva, Wojciech Kryszewski, Andrzej Szulkin

We study the Schrödinger equations $- Δ u + V (x) u = f (x, u)$ in $R^{N}$ and $- Δ u - λ u = f (x, u)$ in a bounded domain $Ω \subset R^{N}$ . We assume that $f$ is superlinear bu…

math.AP2014

Bifurcation from infinity for an asymptotically linear Schrödinger equation

Wojciech Kryszewski, Andrzej Szulkin

We consider an asymptotically linear Schrödinger equation $- Δ u + V (x) u = λ u + f (x, u), x \in R^{N}$ , and show that if $λ_{0}$ is an isolated eigenvalue for the linearization at infinit…