On the classification of solutions to a weighted elliptic system involving the Grushin operator

DOI10.1007/S10440-021-00425-2zbMath1470.35158arXiv2007.03009OpenAlexW3191172811MaRDI QIDQ2230577

Foued Mtiri

Publication date: 24 September 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.03009

zbMATH Keywords

stable solutionsLiouville-type theoremweighted elliptic systemweighted Grushin equation

Mathematics Subject Classification ID

Higher-order elliptic systems (35J48) Completely integrable discrete dynamical systems (37J70)

Related Items (4)

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 ⋮ Liouville‐type theorem for finite Morse index solutions to the Choquard equation involving Δ_λ‐Laplacian ⋮ Liouville type theorems for stable solutions of elliptic system involving the Grushin operator

Cites Work

• Unnamed Item
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• On semilinear \(\mathbf \Delta_\lambda\)-Laplace equation
• On stable solutions of the biharmonic problem with polynomial growth
• Liouville type results for semi-stable solutions of the weighted Lane-Emden system
• Liouville theorems for stable solutions of the weighted Lane-Emden system
• Finite Morse index solutions of an elliptic equation with supercritical exponent
• Some Liouville theorems for Hénon type elliptic equations
• Liouville-type theorems with finite Morse index for semilinear \(\Delta_{\lambda}\)-Laplace operators
• 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 theorem for \(X\)-elliptic operators
• The proof of the Lane-Emden conjecture in four space dimensions
• A priori estimates and existence of positive solutions of nonlinear cooperative elliptic systems
• Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
• Non-existence of positive solutions of Lane-Emden systems
• Liouville theorems for stable weak solutions of elliptic problems involving Grushin operator
• Liouville type theorem for nonlinear elliptic system involving Grushin operator
• Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
• Liouville theorems for stable Lane–Emden systems and biharmonic problems
• 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
• On the stability and instability of positive steady states of a semilinear heat equation in ℝn
• Liouville theorems for stable at infinity solutions of Lane–Emden system
• MINIMAL SOLUTIONS FOR A CLASS OF ELLIPTIC SYSTEMS

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