Polyharmonic inequalities with nonlocal terms
From MaRDI portal
Publication:2040142
DOI10.1016/j.jde.2021.06.019zbMath1468.35054arXiv2101.12636OpenAlexW4287365285MaRDI QIDQ2040142
Yasuhito Miyamoto, Marius Ghergu, Vitaly Moroz
Publication date: 12 July 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.12636
Higher-order elliptic equations (35J30) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Systems of nonlinear higher-order PDEs (35G50)
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Cites Work
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- Pointwise bounds and blow-up for Choquard-Pekar inequalities at an isolated singularity
- Classification of isolated singularities of positive solutions for Choquard equations
- A guide to the Choquard equation
- Asymptotic behavior at isolated singularities for solutions of nonlocal semilinear elliptic systems of inequalities
- Local estimates and Liouville theorems for a class of quasilinear inequalities
- Representation formulae for solutions to some classes of higher order systems and related Liouville theorems
- Asymptotic properties of positive solutions of the Hardy-Sobolev type equations
- Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains
- Super polyharmonic property of solutions for PDE systems and its applications
- Exhaustive existence and non-existence results for some prototype polyharmonic equations in the whole space
- Singular solutions for coercive quasilinear elliptic inequalities with nonlocal terms
- Positive solutions for quasilinear elliptic inequalities and systems with nonlocal terms
- Hardy-Littlewood-Sobolev systems and related Liouville theorems
- Liouville-type theorems for polyharmonic systems in \(\mathbb R^N\)
- On the sub poly-harmonic property for solutions to \((- \Delta)^p u < 0\) in \(\mathbb{R}^n\)
- Isolated Singularities in Partial Differential Inequalities
- Liouville-type theorems for polyharmonic equations in $\mathbb{R}^N$ and in $\mathbb{R}^N_+$
- Isolated singularities of positive solutions for Choquard equations in sublinear case
- Spherically-symmetric solutions of the Schrödinger-Newton equations
- Quasilinear elliptic inequalities with Hardy potential and nonlocal terms
- Representation formulae and inequalities for solutions of a class of second order partial differential equations
