Weighted polyharmonic equation with Navier boundary conditions in a half space

DOI10.1007/s11425-015-0834-3zbMath1387.31004OpenAlexW2560940923MaRDI QIDQ1702183

Ran Zhuo

Publication date: 28 February 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-015-0834-3

zbMATH Keywords

equivalenceintegral equationrotational symmetrynon-existencehalf spaceNavier boundary conditionssuper polyharmonic

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Symmetries, invariants, etc. in context of PDEs (35B06) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (1)

On a super polyharmonic property of a higher-order fractional Laplacian

Cites Work

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• Liouville type theorems for poly-harmonic Navier problems
• A Liouville type theorem for poly-harmonic Dirichlet problems in a half space
• Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality
• Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms
• A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Results on positive solutions of elliptic equations with a critical Hardy-Sobolev operator
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• A priori estimates for prescribing scalar curvature equations
• Explicit constants for Rellich inequalities in \(L_p(\Omega)\)
• A Hardy inequality in the half-space
• Axisymmetry of locally bounded solutions to an Euler-Lagrange system of the weighted Hardy-Littlewood-Sobolev inequality
• Super poly-harmonic property of solutions for Navier boundary problems on a half space
• Classification of solutions of a critical Hardy--Sobolev operator
• On the Best Constant for a Weighted Sobolev-Hardy Inequality
• Symmetry of solutions to some systems of integral equations
• An integral equation on half space
• Uniqueness of Positive Bound States to Schrödinger Systems with Critical Exponents
• The best constant in a weighted Hardy-Littlewood-Sobolev inequality
• Classification of solutions for an integral equation

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