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math.AP2021★ 1 cited
Nonlinear curl-curl problems in
Jarosław Mederski, Jacopo Schino
We survey recent results concerning ground states and bound states to the curl-curl problem $$\nabla\times(\nabla\times u)+V(x)u= f(x,u) \quad\…
math.AP2021
Normalized ground states to a cooperative system of Schrödinger equations with generic -subcritical or -critical nonlinearity
Jacopo Schino
We look for ground state solutions to the Schrödinger-type system \[ \begin{cases} -Δu_j + λ_j u_j = \partial_jF(u)\\ \int_{\rn} u_j^2 \, dx = a_j^2\\ (λ_j,u_j) \in \mathbb{R} \tim…
math.AP2021★ 1 cited
Least energy solutions to a cooperative system of Schrödinger equations with prescribed -bounds: at least -critical growth
Jarosław Mederski, Jacopo Schino
We look for least energy solutions to the cooperative systems of coupled Schrödinger equations \begin{equation*} \begin{cases} -Δu_i + λ_i u_i = \partial_iG(u)\quad \mathrm{in} \ \…