3 papers
math.AP2025
Interior regularity of some weighted quasi-linear equations
Hernán Castro
In this article we study the quasi-linear equation \[ \left\{ \begin{aligned} \mathrm{div}\, \mathcal A(x,u,\nabla u)&=\mathcal B(x,u,\nabla u)&&\text{in }Ω,\\ u\in H^{1,p}_{loc}&(…
math.AP2024
Interior regularity of doubly weighted quasi-linear equations
Hernán Castro
In this article we study the quasi-linear equation \[\mathrm{div}\, \mathcal A(x,u,\nabla u)=\mathcal B(x,u,\nabla u)\quad \text{in }Ω,\qquad u\in H^{1,p}_{loc}(Ω;w_1dx)\] where $\…
math.CA2024
theory for a singular Sturm-Liouville equation
Hernán Castro, Iván Proaño
In this paper we consider the following Sturm-Liouville equation \[ \left\{ \begin{aligned} -(x^{2α}u'(x))'+u(x)&=f(x) && \text{in } (0,1],\\ u(1)&=0 \end{aligned} \right. \] where…