10 citations · 10 across the 6 of their papers we have counts for
7 papers
Complete systems of solutions, transmutations and Darboux transform for Sturm-Liouville equations in impedance form
Víctor A. Vicente-Benítez
We present the construction of a complete system of functions associated with the Sturm-Liouville equation in impedance form on a finite interval , given an impedance function $…
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,…
Transmutation operators and complete systems of solutions for the radial Bicomplex Vekua equation
Víctor A. Vicente-Benítez
The construction of a pair of transmutation operators for the radial main Vekua equation with a Bicomplex-valued coefficient is presented. The pair of operators transform the Bicom…