A monotonicity theorem and its applications to weighted elliptic equations
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Publication:2010420
DOI10.1007/s11425-018-9414-8zbMath1428.35064OpenAlexW2946397444WikidataQ127879594 ScholiaQ127879594MaRDI QIDQ2010420
Publication date: 27 November 2019
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-018-9414-8
Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Topological and monotonicity methods applied to PDEs (35A16)
Related Items (2)
Liouville-type theorems for generalized Hénon-Lane-Emden Schrödinger systems in \(\mathbb{R}^2\) and \(\mathbb{R}^3\) ⋮ Liouville-type theorem for higher-order Hardy-Hénon system
Cites Work
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- Sobolev type embedding and weak solutions with a prescribed singular set
- Finite Morse index solutions and asymptotics of weighted nonlinear elliptic equations
- Liouville-type theorems and bounds of solutions of Hardy-Hénon equations
- Further study of a weighted elliptic equation
- On the classification of solutions of the Lane-Emden equation on unbounded domains of \(\mathbb R^N\)
- Finite Morse index solutions of weighted elliptic equations and the critical exponents
- Classification of solutions of some nonlinear elliptic equations
- Classification of solutions of higher order conformally invariant equations
- Superlinear indefinite elliptic problems and nonlinear Liouville theorems
- Embeddings of weighted Sobolev spaces and degenerate elliptic problems
- Proof of the Hénon-Lane-Emden conjecture in \(\mathbb{R}^3\)
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
- Local behavior of solutions of quasi-linear equations
- Monotonicity formula and \(\varepsilon\)-regularity of stable solutions to supercritical problems and applications to finite Morse index solutions
- Global and local behavior of positive solutions of nonlinear elliptic equations
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