On stable solutions of the weighted Lane-Emden equation involving Grushin operator

DOI10.3934/MATH.2021159OpenAlexW3114494810MaRDI QIDQ2146633

Hongwang Yu, Yunfeng Wei, Hong Wei Yang

Publication date: 17 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021159

zbMATH Keywords

Grushin operatorLiouville-type theoremstable weak solutionsLane-Emden nonlinearity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Subelliptic equations (35H20) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (1)

On stable weak solutions of the weighted static Choquard equation involving Grushin operator

Cites Work

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• Liouville theorems for stable solutions of \(p\)-Laplace equations with convex nonlinearities
• \(L^q\) regularity for \(p\)-Laplace type Baouendi-Grushin equations
• Liouville type results for semi-stable solutions of the weighted Lane-Emden system
• Liouville type theorem for stable solutions of \(p\)-Laplace equation in \(\mathbb{R}^N\)
• Finite Morse index solutions of an elliptic equation with supercritical exponent
• Some Liouville theorems for Hénon type elliptic equations
• Degenerate parabolic equations
• On the classification of solutions of the Lane-Emden equation on unbounded domains of \(\mathbb R^N\)
• Maximum principles and the method of moving planes for a class of degenerate elliptic linear operators
• Liouville theorems for semilinear equations on the Heisenberg group
• Nonlinear Liouville theorems for Grushin and Tricomi operators.
• Stable solutions in potential mean field game systems
• Hölder estimates for subelliptic operators
• Liouville results for stable solutions of quasilinear equations with weights
• Liouville results for \(m\)-Laplace equations of Lane-Emden-Fowler type
• Liouville theorems for stable weak solutions of elliptic problems involving Grushin operator
• Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
• Kelvin transform for Grushin operators and critical semilinear equations
• Hypoelliptic second order differential equations
• On stable entire solutions of semi-linear elliptic equations with weights
• Liouville type theorem for nonlinear elliptic equation involving Grushin operators
• Liouville Type Theorems for Stable Solutions of Certain Elliptic Systems
• Liouville‐type theorem for nonlinear elliptic equations involving p‐Laplace–type Grushin operators
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Weighted sobolev-poincaré inequalities for grushin type operators
• On the classification of solutions to an elliptic equation involving the Grushin operator

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