On a Dini type blow-up condition for nonlinear higher order differential inequalities

2023/12/28 by A. A. Kon’kov, Andrey Shishkov, Kon'kov, A. A. +1
Computer Science · Mathematics · #35B08 #35B44 #35J30 #35J70 #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2312.17326

openalex publication_date 2023/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain a Dini type blow-up condition for global weak solutions of the differential inequality ∑_{|α| = m} ∂^α a_α(x, u) ≥ g (|u|) in \mathbb Rⁿ, where m, n ≥ 1 are integers and a_α and g are some functions.

Related

• On blow-up conditions for solutions of higher order differential inequalities
• On blow-up conditions for nonlinear higher order evolution inequalities
• On bow-up conditions for systems of higher order differential inequalities
• On removable singularities of solutions of higher order differential inequalities
• On removable singular sets for solutions of higher order differential inequalities