Classification of positive solutions to a divergent equation on the upper half space

DOI10.1007/s10114-022-0345-xzbMath1486.35091OpenAlexW4210677848MaRDI QIDQ2119458

Jin Ge Yao, Jingbo Dou

Publication date: 29 March 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-0345-x

zbMATH Keywords

Neumann boundary conditionLiouville theoremKelvin transformationmethod of moving spheresdivergent operator

Mathematics Subject Classification ID

Boundary value problems for nonlinear first-order PDEs (35F30) Positive solutions to PDEs (35B09) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

• Classification theorems for solutions of higher order boundary conformally invariant problems. I.
• A Liouville theorem of degenerate elliptic equation and its application
• Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
• Classification for positive solutions of degenerate elliptic system
• Remark on some conformally invariant integral equations: the method of moving spheres
• Uniqueness theorems through the method of moving spheres
• Divergent operator with degeneracy and related sharp inequalities
• Liouville theorems on the upper half space
• On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
• Sobolev and isoperimetric inequalities with monomial weights
• A priori bounds for positive solutions of nonlinear elliptic equations
• Sharp Hardy–Littlewood–Sobolev Inequality on the Upper Half Space
• Sharp weighted Sobolev and Gagliardo–Nirenberg inequalities on half-spaces via mass transport and consequences
• An Extension Problem Related to the Fractional Laplacian
• Sobolev Spaces

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