A uniform local comparison principle for higher order differential operators with \(L^1\) singularity

DOI10.14321/realanalexch.49.1.1655105744MaRDI QIDQ6200246

Yang Liu, Bangxin Jiang, Yifei Pan

Publication date: 29 February 2024

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/real-analysis-exchange/volume-49/issue-1/A-Uniform-Local-Comparison-Principle-for-Higher-Order-Differential-Operators/10.14321/realanalexch.49.1.1655105744.full

zbMATH Keywords

comparison principledifferential inequalityhigher order differential operatorHopf lemma

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Differential inequalities involving functions of a single real variable (34A40)

Cites Work

• Unnamed Item
• New maximum principles for fully nonlinear ODEs of second order
• A generalization of Caratheodory's theorem
• A geometric problem and the Hopf lemma. II
• A geometric problem and the Hopf lemma. I
• A Hopf lemma for higher order differential inequalities and its applications
• Partial results on extending the Hopf Lemma
• Elliptic Partial Differential Equations of Second Order
• Linear Quaternion Differential Equations: Basic Theory and Fundamental Results

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