Proof of the Hénon-Lane-Emden conjecture in \(\mathbb{R}^3\)
From MaRDI portal
Publication:1993963
DOI10.1016/j.jde.2018.07.036zbMath1410.35040OpenAlexW2884494191WikidataQ123188764 ScholiaQ123188764MaRDI QIDQ1993963
Publication date: 6 November 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2018.07.036
Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (11)
Liouville-type theorems for generalized Hénon-Lane-Emden Schrödinger systems in \(\mathbb{R}^2\) and \(\mathbb{R}^3\) ⋮ Sobolev hyperbola for periodic Lane-Emden heat flow system in N spatial dimension ⋮ Classification to the positive radial solutions with weighted biharmonic equation ⋮ A nonexistence result for the Choquard-type Hamiltonian system ⋮ Liouville-type theorems for fractional Hardy-Hénon systems ⋮ A monotonicity theorem and its applications to weighted elliptic equations ⋮ Liouville type theorems for fractional and higher-order fractional systems ⋮ Method of scaling spheres for integral and polyharmonic systems ⋮ Liouville-type theorem for higher-order Hardy-Hénon system ⋮ A Liouville theorem for the Hénon-Lane-Emden system in four and five dimensions ⋮ Optimal Liouville-type theorems for polyharmonic elliptic gradient systems and applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new dynamical approach of Emden-Fowler equations and systems
- Liouville-type theorems and bounds of solutions of Hardy-Hénon equations
- An integral system and the Lane-Emden conjecture
- On the Hénon equation: asymptotic profile of ground states. I.
- Radial and non radial solutions for Hardy-Hénon type elliptic systems
- The proof of the Lane-Emden conjecture in four space dimensions
- Classification of solutions of some nonlinear elliptic equations
- Classification of solutions of higher order conformally invariant equations
- A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
- Elliptic partial differential equations of second order
- Singularities of positive supersolutions in elliptic PDEs
- A priori estimates for a semilinear elliptic system without variational structure and their applications
- 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
- Symmetry and symmetry breaking for ground state solutions of some strongly coupled elliptic systems
- Non-existence results for semilinear cooperative elliptic systems via moving spheres
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
- On the Hénon-Lane-Emden conjecture
- On the Hénon equation: asymptotic profile of ground states. II
- Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems
- Global and local behavior of positive solutions of nonlinear elliptic equations
- Positive splutions of semilinear elliptic systems
- A rellich type identity and applications
- Liouville theorems for elliptic inequalities and applications
This page was built for publication: Proof of the Hénon-Lane-Emden conjecture in \(\mathbb{R}^3\)
