Liouville-type theorems and decay estimates for solutions to higher order elliptic equations

DOI10.1016/j.anihpc.2012.02.004zbMath1255.35064OpenAlexW2095402005MaRDI QIDQ713194

Guozhen Lu, Jiuyi Zhu, Pei-Yong Wang

Publication date: 26 October 2012

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2012.02.004

zbMATH Keywords

Dirichlet problemrescaling techniquedoubling propertyNavier boundary conditionpolyharmonic operators on half spaceswithout boundedness assumptions

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) A priori estimates in context of PDEs (35B45) Second-order elliptic systems (35J47) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (11)

Classification theorems for solutions of higher order boundary conformally invariant problems. I. ⋮ Pointwise a priori estimates for solutions to some \(p\)-Laplacian equations ⋮ Liouville theorems for fractional parabolic equations ⋮ Hardy-Sobolev type integral systems with Dirichlet boundary conditions in a half space ⋮ Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space ⋮ Liouville type theorem and decay estimates for solutions of fully nonlinear elliptic equation ⋮ Symmetry and Regularity of Solutions to the Weighted Hardy–Sobolev Type System ⋮ Liouville theorem and isolated singularity of fractional Laplacian system with critical exponents ⋮ Liouville-type theorems for integral and PDE systems with critical exponents in a half space ⋮ Optimal Liouville-type theorems for polyharmonic elliptic gradient systems and applications ⋮ Liouville type theorem for higher-order elliptic system with Navier boundary condition

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