Jacopo Schino

activity

20192026

most citedMultiple solutions to a nonlinear curl-curl problem in

R^{3}

22 citations · 50 across the 18 of their papers we have counts for

collaborators

Showing 2024Show all

5 papers · 1 filter

math.AP2024★ 1 cited

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 $(λ, u)$ 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…

math.CA2024

Some one-dimensional elliptic problems with constraints

Jacopo Schino, Panayotis Smyrnelis

Given $m \in N ∖ {0}$ and $ρ > 0$ , we find solutions $(λ, u)$ to the problem \begin{equation*} \begin{cases} \bigl(-\frac{\mathrm{d}^2}{\mathrm{d} x^2}\bigr)^m u +…

math.AP2024

Piecewise regular solutions to scalar balance laws with singular nonlocal sources

Lorena Bociu, Evangelia Ftaka, Khai T. Nguyen +1

The present paper establishes a local well-posed result for piecewise regular solutions with single shock of scalar balance laws with singular integral of convolution type kernels.…

math.AP2024

Travelling waves for Maxwell's equations in nonlinear and symmetric media

Jarosław Mederski, Jacopo Schino

We look for travelling wave fields $E (x, y, z, t) = U (x, y) cos (k z + ω t) + U (x, y) sin (k z + ω t), (x, y, z) \in R^{3}, t \in R,$ satisfying Maxwell's equations…

math.AP2024★ 2 cited

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 $(u, λ_{u}) \in H^{1} (R^{N}; R) \times R$ to \[ -Δu + λu = f(u) \quad \text{in } \mathbb{R}^N \] with…