Radial symmetry and regularity of solutions for poly-harmonic Dirichlet problems

DOI10.1016/j.jmaa.2010.11.035zbMath1211.35101OpenAlexW2019851245MaRDI QIDQ629232

Wenxiong Chen, Jiuyi Zhu

Publication date: 8 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.11.035

zbMATH Keywords

regularityunit ballradial symmetrymethod of moving planes in integral formspoly-harmonic Dirichlet problems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for higher-order elliptic equations (35J40) Higher-order elliptic equations (35J30) Variational methods for higher-order elliptic equations (35J35)

Related Items (17)

Liouville theorems involving the fractional Laplacian on a half space ⋮ A Liouville-type theorem for an integral system on a half-space \(R_+^n\) ⋮ A Liouville type theorem for poly-harmonic Dirichlet problems in a half space ⋮ Super poly-harmonic property of solutions for Navier boundary problems on a half space ⋮ Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality ⋮ Polyharmonic equations with critical exponential growth in the whole space \(\mathbb{R}^{n}\) ⋮ A Liouville type theorem for higher order Hardy-Hénon equation in \(\mathbb R^n\) ⋮ An integral equation involving Bessel potentials on half space ⋮ Liouville type theorems for Schrödinger systems ⋮ Non-existence results for cooperative semi-linear fractional system via direct method of moving spheres ⋮ Positive solutions to nonlinear systems involving fully nonlinear fractional operators ⋮ Liouville-type theorems for integral and PDE systems with critical exponents in a half space ⋮ Nonlinear elliptic systems involving the fractional Laplacian in the unit ball and on a half space ⋮ Symmetry of solutions to semilinear equations involving the fractional Laplacian ⋮ A Liouville-type theorem for an integral equation on a half-space \(\mathbb R_+^n\) ⋮ An overdetermined problem in Riesz-potential and fractional Laplacian ⋮ Partially overdetermined problem in some integral equations

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