On the nonexistence of stable solutions of sub-elliptic systems with negative exponents

DOI10.1080/17476933.2019.1574772zbMath1426.35089OpenAlexW2931206330MaRDI QIDQ5239198

Phuong Thao Nguyen, Phuong Le, Anh Tuan Duong, Do Lan

Publication date: 22 October 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1574772

zbMATH Keywords

Liouville-type resultdegenerate elliptic systemsstable positive solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Subelliptic equations (35H20) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (7)

Liouville-type theorem for a subelliptic equation with Choquard nonlinearity and weight ⋮ 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 Kirchhoff sub-elliptic equations involving \(\Delta_{\lambda}\)-operators ⋮ Liouville type theorems for degenerate parabolic systems with advection terms ⋮ On stable entire solutions of sub-elliptic system involving advection terms with negative exponents and weights

Cites Work

• Unnamed Item
• Unnamed Item
• Attractors for a class of semi-linear degenerate parabolic equations
• On semilinear \(\mathbf \Delta_\lambda\)-Laplace equation
• Liouville type results for semi-stable solutions of the weighted Lane-Emden system
• Liouville theorems for stable solutions of the weighted Lane-Emden system
• Liouville-type theorems with finite Morse index for semilinear \(\Delta_{\lambda}\)-Laplace operators
• Qualitative analysis of rupture solutions for a MEMS problem
• Sub-harmonicity, monotonicity formula and finite Morse index solutions of an elliptic equation with negative exponent
• Finite Morse index steady states of van der Waals force driven thin film equations
• Positive solutions of an elliptic equation with negative exponent: stability and critical power
• The proof of the Lane-Emden conjecture in four space dimensions
• Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
• Non-existence of positive solutions of Lane-Emden systems
• Existence of solutions to boundary-value problems for semilinear \(\Delta_\gamma\) differential equations
• Liouville type theorem for nonlinear elliptic system involving Grushin operator
• Properties of positive solutions to an elliptic equation with negative exponent
• Hardy type inequalities for Δ_λ-Laplacians
• Liouville theorems for stable Lane–Emden systems and biharmonic problems
• MINIMAL SOLUTIONS FOR A CLASS OF ELLIPTIC SYSTEMS
• Liouville-type theorems for elliptic inequalities involving the Δ_λ-Laplace operator
• Liouville type theorems for stable solutions of the weighted elliptic system

This page was built for publication: On the nonexistence of stable solutions of sub-elliptic systems with negative exponents