Proof of the Hénon-Lane-Emden conjecture in \(\mathbb{R}^3\)

DOI10.1016/j.jde.2018.07.036zbMath1410.35040OpenAlexW2884494191WikidataQ123188764 ScholiaQ123188764MaRDI QIDQ1993963

Kui Li, Zhi-tao Zhang

Publication date: 6 November 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.07.036

zbMATH Keywords

Liouville-type theoremsHénon-Lane-Emden conjecturenonlinear elliptic weighted system

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (11)

Liouville-type theorems for generalized Hénon-Lane-Emden Schrödinger systems in \(\mathbb{R}^2\) and \(\mathbb{R}^3\) ⋮ Sobolev hyperbola for periodic Lane-Emden heat flow system in N spatial dimension ⋮ Classification to the positive radial solutions with weighted biharmonic equation ⋮ A nonexistence result for the Choquard-type Hamiltonian system ⋮ Liouville-type theorems for fractional Hardy-Hénon systems ⋮ A monotonicity theorem and its applications to weighted elliptic equations ⋮ Liouville type theorems for fractional and higher-order fractional systems ⋮ 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

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