Liouville Theorem for a Fourth Order Hénon Equation

DOI10.1515/ans-2014-0313zbMath1301.35023arXiv1110.2246OpenAlexW2963211502MaRDI QIDQ2923163

Craig Cowan

Publication date: 15 October 2014

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2246

zbMATH Keywords

entire solutionsbiharmonicLiouville theorems

Mathematics Subject Classification ID

Higher-order elliptic equations (35J30) Semilinear elliptic equations (35J61) Entire solutions to PDEs (35B08) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (9)

Liouville type theorem for critical order Hénon-Lane-Emden type equations on a half space and its applications ⋮ Symmetry of positive solutions of fractional Laplacian equation and system with Hardy-Sobolev exponent on the unit ball ⋮ A refined approach for non-negative entire solutions of \(\Delta u + u^p = 0\) with subcritical Sobolev growth ⋮ Liouville type theorem for higher order Hénon equations on a half space ⋮ Hardy-Littlewood-Sobolev systems and related Liouville theorems ⋮ Method of scaling spheres for integral and polyharmonic systems ⋮ Positive supersolutions of fourth-order nonlinear elliptic equations: explicit estimates and Liouville theorems ⋮ Liouville theorems for fractional Hénon equation and system on \(\mathbb{R}^n\) ⋮ A Liouville-type theorem for higher order elliptic systems of Hénon-Lane-Emden type

Cites Work

• The proof of the Lane-Emden conjecture in four space dimensions
• Radial entire solutions for supercritical biharmonic equations

This page was built for publication: Liouville Theorem for a Fourth Order Hénon Equation