Liouville type theorems for stable solutions of the weighted elliptic system with the advection term: \(p \geq \vartheta >1\)

DOI10.1007/s00030-018-0498-6zbMath1391.35090OpenAlexW2792440356MaRDI QIDQ1705180

Liang-Gen Hu

Publication date: 14 March 2018

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-018-0498-6

zbMATH Keywords

nonexistence of classical positive stable solutions

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (10)

Classification of stable solutions to a fractional singular elliptic equation with weight ⋮ Liouville's theorem for the drifting Laplacian ⋮ On positive supersolutions of fractional elliptic equations with gradient terms ⋮ Liouville‐type theorems for a nonlinear fractional Choquard equation ⋮ Liouville-type theorem for a nonlinear sub-elliptic system involving \(\Delta_{\lambda}\)-Laplacian and advection terms ⋮ Liouville type theorems for degenerate parabolic systems with advection terms ⋮ Liouville type theorems for some fractional elliptic problems ⋮ On the classification of positive supersolutions of elliptic systems involving the advection terms ⋮ Liouville type theorems for stable solutions of the weighted fractional Lane-Emden system ⋮ A Liouville-type theorem for fractional elliptic equation with exponential nonlinearity

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