Liouville-type theorems for generalized Hénon-Lane-Emden Schrödinger systems in \(\mathbb{R}^2\) and \(\mathbb{R}^3\)
From MaRDI portal
Publication:2135294
DOI10.12775/TMNA.2021.028zbMath1490.35132OpenAlexW4223585039MaRDI QIDQ2135294
Kui Li, Xi-you Cheng, Zhi-tao Zhang
Publication date: 6 May 2022
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.12775/tmna.2021.028
Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Cites Work
- 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
- Further study of a weighted elliptic equation
- An integral system and the Lane-Emden conjecture
- Finite Morse index solutions of weighted elliptic equations and the critical exponents
- 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
- A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
- Elliptic partial differential equations of second order
- Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
- Non-existence of positive solutions of Lane-Emden systems
- Proof of the Hénon-Lane-Emden conjecture in \(\mathbb{R}^3\)
- A monotonicity theorem and its applications to weighted elliptic equations
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
- On the Hénon-Lane-Emden conjecture
- Global and local behavior of positive solutions of nonlinear elliptic equations
- A rellich type identity and applications
This page was built for publication: Liouville-type theorems for generalized Hénon-Lane-Emden Schrödinger systems in \(\mathbb{R}^2\) and \(\mathbb{R}^3\)