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math.AP2022
Normalized solutions to at least mass critical problems: singular polyharmonic equations and related curl-curl problems
Bartosz Bieganowski, Jarosław Mederski, Jacopo Schino
We are interested in the existence of normalized solutions to the problem \begin{equation*} \begin{cases} (-Δ)^m u+\fracμ{|y|^{2m}}u + λu = g(u), \quad x = (y,z) \in \mathbb{R}^K \…
math.AP2022
Ground state, bound state, and normalized solutions to semilinear Maxwell and Schrödinger equations
Jacopo Schino
The existence of ground states and (multiple) bound states to semilinear time-independent Maxwell and Schrödinger equations, with or without -constraints, is investigated.
math.AP2022★ 8 cited
Radial and non-radial multiple solutions to a general mixed dispersion NLS equation
Pietro d'Avenia, Alessio Pomponio, Jacopo Schino
We study the following nonlinear Schrödinger equation with a forth order dispersion term \[ Δ^2u-βΔu=g(u) \quad \text{in } \mathbb{R}^N \] in the positive and zero mass regimes: in…