Sturm-Picone theorem for fractional nonlocal equations

DOI10.1007/S13324-021-00494-4zbMath1460.35146arXiv1811.02153OpenAlexW3129331100MaRDI QIDQ2656225

Yanyan Li

Publication date: 11 March 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02153

zbMATH Keywords

variational methodsfractional LaplacianSturm-Picone comparison theorem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional elliptic equations, Caccioppoli estimates and regularity
• Sturmian comparison and oscillation theorems for a class of half-linear elliptic equations
• Hitchhiker's guide to the fractional Sobolev spaces
• A note on Leighton's variational lemma for fractional Laplace equations
• Eigenvalue problem for fractional Kirchhoff Laplacian
• Generalizations of Sturm-Picone theorem for second-order nonlinear differential equations
• Fractional eigenvalues
• Extension Problem and Harnack's Inequality for Some Fractional Operators
• On a Comparison Theorem for Self-Adjoint Partial Differential Equations of Elliptic Type
• Comparison Theorems for Elliptic Differential Equations
• An Extension Problem Related to the Fractional Laplacian
• A generalization of leighton's variational theorem
• Comparison Theorems for Linear Differential Equations of Second Order
• Nonlocal equations in bounded domains: a survey

This page was built for publication: Sturm-Picone theorem for fractional nonlocal equations