Liouville type theorem for nonlinear elliptic system involving Grushin operator

DOI10.1016/J.JMAA.2017.05.029zbMath1371.35078OpenAlexW2615413219MaRDI QIDQ2360026

Anh Tuan Duong, Quoc Hung Phan

Publication date: 23 June 2017

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.2017.05.029

zbMATH Keywords

Grushin operatorstable solutionsLiouville-type theoremsdegenerate elliptic system

Mathematics Subject Classification ID

Second-order elliptic systems (35J47) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (21)

Liouville-type theorem for Kirchhoff equations involving Grushin operators ⋮ On stable solutions to a weighted degenerate elliptic equation with advection terms ⋮ Liouville‐type theorems for a nonlinear fractional Choquard equation ⋮ A note on positive solutions of Lichnerowicz equations involving the \(\Delta_\lambda\)-Laplacian ⋮ Liouville-type theorem for a nonlinear sub-elliptic system involving \(\Delta_{\lambda}\)-Laplacian and advection terms ⋮ A Berestycki–Lions type result for a class of degenerate elliptic problems involving the Grushin operator ⋮ Liouville‐type theorem for finite Morse index solutions to the Choquard equation involving Δ_λ‐Laplacian ⋮ A Brézis-Nirenberg type problem for a class of degenerate elliptic problems involving the Grushin operator ⋮ Existence of the solution for a class of the semilinear degenerate elliptic equation involving the Grushin operator in R2$\mathbb {R}^2$: The interaction between Grushin's critical exponent and exponential growth ⋮ Liouville type theorems for degenerate parabolic systems with advection terms ⋮ On the classification of solutions to a weighted elliptic system involving the Grushin operator ⋮ Liouville type theorems for some fractional elliptic problems ⋮ Critical Hardy-Sobolev exponents problem with Grushin operator and Hardy-type singularity terms ⋮ On a class of Hamiltonian strongly degenerate elliptic systems with concave and convex nonlinearities ⋮ On stable entire solutions of sub-elliptic system involving advection terms with negative exponents and weights ⋮ On the classification of positive supersolutions of elliptic systems involving the advection terms ⋮ On the nonexistence of stable solutions of sub-elliptic systems with negative exponents ⋮ Liouville type theorems for stable solutions of elliptic system involving the Grushin operator ⋮ Nonlinear Liouville-type theorems for generalized Baouendi-Grushin operator on Riemannian manifolds ⋮ Liouville type theorems for stable solutions of the weighted fractional Lane-Emden system ⋮ Liouville type theorem for a singular elliptic equation with finite Morse index

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