On the mixed local-nonlocal Hénon equation

2021/07/20 by Ariel Salort, Salort, Ariel, Eugenio Vecchi +1 · 3 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2107.09520

openalex publication_date 2021/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we consider a Hénon-type equation driven by a nonlinear operator obtained as a combination of a local and nonlocal term. We prove existence and non-existence akin to the classical result by Ni, and a stability result as the fractional parameter s → 1.

Cited by

• A mixed local-nonlocal Hénon problem in ℝ^N
• The Hénon equation in Orlicz-Sobolev spaces
• Existence Theory for a class of semilinear mixed local and nonlocal equations involving variable singularities and singular measures

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