10 citations · 10 across the 6 of their papers we have counts for
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Generalized Poisson kernel and solution of the Dirichlet problem for the radial Schrödinger equation
Víctor A Vicente-Benítez
We present an explicit construction of the solution to the Dirichlet boundary value problem for the radial Schrödinger equation in the unit ball, with a complex-valued potential $V…
Entire solutions to a quasilinear purely critical competitive system
Mónica Clapp, Víctor A. Vicente-Benítez
We establish the existence of a fully nontrivial solution with nonnegative components for a weakly coupled competitive system for the -Laplacian in whose nonlinea…
Bergman spaces and reproducing kernel for the biquaternionic Vekua equation
Víctor A. Vicente-Benítez
We analyze the main properties of the Bergman spaces of weak - solutions for a biquaternionic Vekua equation of the form \[ \mathbf{D}w(x)-\mathbf{Q}_Aw(x)=0 \] on bounded dom…
Bergman spaces for the bicomplex Vekua equation with bounded coefficients
Víctor A. Vicente-Benítez
We develop the theory for the Bergman spaces of generalized -solutions of the bicomplex-Vekua equation on bounded domains,…