Liouville-type theorems for polyharmonic H\'enon-Lane-Emden system

zbMath1330.35054arXiv1405.4584MaRDI QIDQ5499619

Quoc Hung Phan

Publication date: 30 July 2015

Full work available at URL: https://arxiv.org/abs/1405.4584

zbMATH Keywords

nonexistenceLiouville-type theoremHénon-Lane-Emden systempolyharmonic elliptic system

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Higher-order elliptic systems (35J48)

Related Items (10)

Liouville type theorems, a priori estimates and existence of solutions for sub-critical order Lane-Emden-Hardy equations ⋮ Liouville theorem for Hénon-Hardy systems in the unit ball ⋮ Liouville type theorems for poly-harmonic Dirichlet problems of Hénon-Hardy type equations on a half space or a ball ⋮ Liouville type theorems, a priori estimates and existence of solutions for critical and super-critical order Hardy-Hénon type equations in \(\mathbb{R}^n\) ⋮ Method of scaling spheres for integral and polyharmonic systems ⋮ Liouville-type theorem for higher-order Hardy-Hénon system ⋮ A Liouville theorem for the Hénon-Lane-Emden system in four and five dimensions ⋮ Optimal Liouville-type theorems for polyharmonic elliptic gradient systems and applications ⋮ Some weighted fourth-order Hardy-Hénon equations ⋮ Liouville theorems for fractional and higher-order Hénon–Hardy systems on ℝⁿ

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