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math.CA2025
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 $…
math.AP2025
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…
math.AP2025
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…