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math.AP2021
The Yamabe equation in small convex domains in and small balls in
Jean Carlos Cortissoz, Jonatán Torres Orozco
We show an iterative method to solve a Dirichlet problem for a Yamabe-type equation in small convex domains in and small balls in .
math.AP2021
A note on the Maximum Principle and the Iteration Method for elliptic equations
Jean Cortissoz, Jonatán Torres-Orozco
We use an iteration procedure propped up by a a classical form of the maximum principle to show the existence of solutions to a nonlinear Poisson equation with Dirichlet boundary c…
math.AP2021
On the one dimensional Logarithmic diffusion equation with nonlinear Robin boundary conditions
Jean Cortissoz, César Reyes
In this paper we investigate the one dimensional (1D) logarithmic diffusion equation with nonlinear Robin boundary conditions, namely, \[ \left\{ \begin{array}{l} \partial_t u=\par…