María Medina

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math.AP2024

Blowing-up solutions to competitive critical systems in dimension 3

Antonio J. Fernández, María Medina, Angela Pistoia

We study the critical system of $m \geq 2$ equations \begin{equation*} -Δu_i = u_i^5 + \sum_{j = 1,\,j\neq i}^m β_{ij} u_i^2 u_j^3\,, \quad u_i \gneqq 0 \quad \mbox{in } \mathbb{R}^…

math.AP2021

Equivalence of solutions for non-homogeneous p(x)-Laplace equations

María Medina, Pablo Ochoa

We establish the equivalence between weak and viscosity solutions for non-homogeneous $p (x)$ -Laplace equations with a right-hand side term depending on the spatial variable, the un…