103 citations · 184 across the 37 of their papers we have counts for
4 papers · 2 filters
Multiplicity of critical orbits to nonlinear, strongly indefinite functionals with sign-changing nonlinear part
Federico Bernini, Bartosz Bieganowski, Daniel Strzelecki
We show an abstract critical point theorem about existence of infinitely many critical orbits to strongly indefinite functionals with sign-changing nonlinear part defined on a disl…
Normalized solutions to polyharmonic equations with Hardy-type potentials and exponential critical nonlinearities
Bartosz Bieganowski, Olímpio Hiroshi Miyagaki, Jacopo Schino
Via a constrained minimization, we find a solution to the problem \begin{equation*} \begin{cases} (-Δ)^m u+\fracμ{|x|^{2m}}u + λu = ηu^3 + g(u)\\ \int_{\mathbb{R}^{2m}} u^2…
Traveling waves for nonlinear Schrödinger equations
Laura Baldelli, Bartosz Bieganowski, Jarosław Mederski
We look for traveling wave solutions to the nonlinear Schrödinger equation with a subsonic speed, covering several physical models with Sobolev subcritical nonlinear effects. Our a…
Existence and dynamics of normalized solutions to Schrödinger equations with generic double-behaviour nonlinearities
Bartosz Bieganowski, Pietro d'Avenia, Jacopo Schino
We study the existence of solutions to \[ -Δu + λu = f(u) \quad \text{in } \mathbb{R}^N \] with…