4 papers
Discrete Lagrange Problems with Constraints Valued in a Lie Group
Pablo M. Chacón, Antonio Fernández, Pedro L. García
The Lagrange problem is established in the discrete field theory subject to constraints with values in a Lie group. For the admissible sections that satisfy a certain regularity co…
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{} \label{problem-abstract} -Δv + v = |v|^{p-1}v,\ \mbox{ in } \mathbb{R}^N_{+}, \qqu…
Some remarks on a minimization problem associated to a fourth order nonlinear Schrödinger equation
Nabile Boussaïd, Antonio J. Fernández, Louis Jeanjean
Let , , and . In the present paper, we study, for given, the constrained minimization problem \begin{equation*} \label{MinL2fixed} m(c):=…
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 , , 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(…