3 papers
math.CA2025
Complete systems of solutions, transmutations and Darboux transform for Sturm-Liouville equations in impedance form
VÃctor A. Vicente-BenÃtez
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 $…
math.AP2025
Generalized Poisson kernel and solution of the Dirichlet problem for the radial Schrödinger equation
VÃctor A Vicente-BenÃtez
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 $…
math.AP2025
Entire solutions to a quasilinear purely critical competitive system
Mónica Clapp, VÃctor A. Vicente-BenÃtez
We establish the existence of a fully nontrivial solution with nonnegative components for a weakly coupled competitive system for the -Laplacian in whose nonlinea…