Antonio J. Fern'andez

activity

20182021

most citedSome remarks on a minimization problem associated to a fourth order nonlinear Schrödinger equation

4 citations · 4 across the 3 of their papers we have counts for

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math.AP2020

The nonlinear Schrödinger equation in the half-space

Antonio J. Fernández, Tobias Weth

The present paper is concerned with the half-space Dirichlet problem \begin{equation} \tag{ $P_{c}$ } \label{problem-abstract} -Δv + v = |v|^{p-1}v,\ \mbox{ in } \mathbb{R}^N_{+}, \qqu…

math.AP2019★ 4 cited

Some remarks on a minimization problem associated to a fourth order nonlinear Schrödinger equation

Nabile Boussaïd, Antonio J. Fernández, Louis Jeanjean

Let $γ > 0$ , $β > 0$ , $α > 0$ and $0 < σ N < 4$ . In the present paper, we study, for $c > 0$ given, the constrained minimization problem \begin{equation*} \label{MinL2fixed} m(c):=…

math.AP2018

A priori bounds and multiplicity of solutions for an indefinite elliptic problem with critical growth in the gradient

Colette De Coster, Antonio J. Fernández, Louis Jeanjean

Let $Ω \subset R^{N}$ , $N \geq 2$ , be a smooth bounded domain. We consider a boundary value problem of the form $$-Δu = c_λ(x) u + μ(x) |\nabla u|^2 + h(x), \quad u \in H^1_0(…