Ricardo Freire

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math.AP2025

Existence and Nonexistence Breaking Results For a Weighted Elliptic Problem in Half-Space

J. M. Do Ó, R. F. Freire, J. Giacomoni +1

In this paper we study the problem $- div (ρ (x_{N}) \nabla u) = a ∣ u ∣^{p - 2} u$ in $R_{+}^{N}$ , $- \partial u / \partial x_{N} = b ∣ u ∣^{q - 2} u$ in $R^{N - 1}$ where $a,b \in \mat…

math.AP2025

Global and nonglobal solutions for a mixed local-nonlocal heat equation

Brandon Carhuas, Ricardo Castillo, Ricardo Freire +2

In this work, we establish optimal conditions concerning the global and nonglobal existence of solutions of a semilinear parabolic equations governed by a mixed local-nonlocal oper…

math.AP2025

Blow-up and global mild solutions for a Hardy-Hénon parabolic equation on the Heisenberg group

Ricardo Castillo, Ricardo Freire, Miguel Loayza

We are concerned with the existence of global and blow-up solutions for the nonlinear parabolic problem described by the Hardy-Hénon equation $u_t - Δ_{\mathbb{H}} u = |\cdot|_{\ma…