Nonexistence of stable solutions of the weighted Lane-Emden system

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

Cites Work

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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
A monotonicity formula and Liouville-type theorems for stable solutions of the weighted elliptic system
On the classification of solutions of the Lane-Emden equation on unbounded domains of \(\mathbb R^N\)
The proof of the Lane-Emden conjecture in four space dimensions
Liouville type theorems for stable solutions of the weighted elliptic system with the advection term: \(p \geq \vartheta >1\)
Symmetry and symmetry breaking for ground state solutions of some strongly coupled elliptic systems
Liouville theorems for stable solutions of biharmonic problem
The Gel'fand problem for the biharmonic operator
A new critical curve for the Lane-Emden system
Liouville type results and regularity of the extremal solutions of biharmonic equation with negative exponents
A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem
Multiplicity of solutions for a fourth-order quasilinear nonhomogeneous equation
Regularity of semi-stable solutions to fourth order nonlinear eigenvalue problems on general domains
Liouville theorems for stable Lane-Emden systems and biharmonic problems
Liouville Type Theorems for Stable Solutions of Certain Elliptic Systems
On stable solutions of the fractional Hénon–Lane–Emden equation
On the stability and instability of positive steady states of a semilinear heat equation in ℝn
A rellich type identity and applications
Liouville theorems for stable at infinity solutions of Lane–Emden system

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