A Liouville theorem for the subcritical Lane-Emden system
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Publication:1725801
DOI10.3934/dcds.2019058zbMath1407.35014OpenAlexW2963833125WikidataQ128718018 ScholiaQ128718018MaRDI QIDQ1725801
Publication date: 15 February 2019
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2019058
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (11)
A necessary condition for certain integral equations with negative exponents ⋮ On the Hardy-Littlewood-Sobolev type systems ⋮ A refined approach for non-negative entire solutions of \(\Delta u + u^p = 0\) with subcritical Sobolev growth ⋮ On some weighted fourth-order equations ⋮ Classification of anti-symmetric solutions to the fractional Lane-Emden system ⋮ Asymptotic analysis on positive solutions of the Lane-Emden system with nearly critical exponents ⋮ Non-negative solutions to fractional Laplace equations with isolated singularity ⋮ Coron's problem for the critical Lane-Emden system ⋮ The regularity lifting methods for nonnegative solutions of Lane-Emden system ⋮ Existence of a solution of discrete Emden-Fowler equation caused by continuous equation ⋮ Some weighted fourth-order Hardy-Hénon equations
Cites Work
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- Sharp criteria of Liouville type for some nonlinear systems
- Optimal Liouville-type theorems for noncooperative elliptic Schrödinger systems and applications
- Liouville-type theorems and bounds of solutions of Hardy-Hénon equations
- An integral system and the Lane-Emden conjecture
- The proof of the Lane-Emden conjecture in four space dimensions
- Classification of solutions of some nonlinear elliptic equations
- Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
- Non-existence of positive solutions of Lane-Emden systems
- Liouville-type theorems and bounds of solutions for Hardy-Hénon elliptic systems
- Liouville-type theorems for elliptic Schrödinger systems associated with copositive matrices
- 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
- A refined approach for non-negative entire solutions of \(\Delta u + u^p = 0\) with subcritical Sobolev growth
- 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
- Maximum principles and Bôcher type theorems
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