Results 1 to 10 of about 666,505 (227)
Quantum gravity from timelike Liouville theory
Journal of High Energy Physics, 2019 A proper definition of the path integral of quantum gravity has been a long- standing puzzle because the Weyl factor of the Euclidean metric has a wrong-sign kinetic term.
Teresa Bautista +2 more
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Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity [PDF]
Differential and Integral Equations, 2014 In this paper, we establish a local gradient estimate for a $p$-Lpalacian equation with a fast growing gradient nonlinearity. With this estimate, we can prove a parabolic Liouville theorem for ancient solutions satisfying some growth restriction near ...
Attouchi, Amal
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Liouville theorem for Beltrami flow
, 2014 We prove that the Beltrami flow of ideal fluid in $R^3$ of a finite energy is zero.Comment: To appear in ...
Nikolai, Nadirashvili
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A Liouville theorem for elliptic equations with a potential on infinite graphs [PDF]
Calculus of Variations and Partial Differential Equations, 2023 We investigate the validity of the Liouville property for a class of elliptic equations with a potential, posed on infinite graphs. Under suitable assumptions on the graph and on the potential, we prove that the unique bounded solution is $$u\equiv 0$$
Stefano Biagi, Giulia Meglioli, F. Punzo
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A Liouville theorem and radial symmetry for dual fractional parabolic equations [PDF]
Analysis and Applications, 2023 In this paper, we first study the dual fractional parabolic equation [Formula: see text] subjected to the vanishing exterior condition. We show that for each [Formula: see text], the positive bounded solution [Formula: see text] must be radially ...
Yahong Guo, Lingwei Ma, Zhenqiu Zhang
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Liouville theorem on Ricci shrinkers with constant scalar curvature and its application [PDF]
Journal für die Reine und Angewandte Mathematik, 2022 In this paper we consider harmonic functions on gradient shrinking Ricci solitons with constant scalar curvature. A Liouville theorem is proved without using gradient estimate: any bounded harmonic function is constant on gradient shrinking Ricci ...
Weixiong Mai, Jianyu Ou
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The Borg’s Theorem for Singular Sturm-Liouville Problem with Non-Separated Boundary Conditions [PDF]
Mathematics Interdisciplinary Research, 2023 In this paper, we consider a Sturm-Liouville equation with non-separated boundary conditions on a finite interval. We discuss some properties of solutions of the Sturm-Liouville equation, where the potential function has a singularity in the ...
Maedeh Bagherzadeh, Abdolali Neamaty
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AIMS Mathematics, 2023 The main purpose of this manuscript is to investigate the Sturm-Liouville BVP for non-autonomous Lagrangian systems. Under the suitable assumptions, we establish an existence theorem for three nonnegative solutions via Bonanno-Candito's three critical ...
Zhongqian Wang +2 more
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A Liouville theorem for Lévy generators [PDF]
Positivity (Dordrecht), 2020 Under mild assumptions, we establish a Liouville theorem for the “Laplace” equation Au=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
F. Kühn
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Harnack inequality and Liouville-type theorems for Ornstein-Uhlenbeck and Kolmogorov operators
Mathematics in Engineering, 2020 We prove, with a purely analytic technique, a one-side Liouville theorem for a class of Ornstein--Uhlenbeck operators ${\mathcal L_0}$ in $\mathbb{R}^N$, as a consequence of a Liouville theorem at “$t=- \infty$” for the corresponding Kolmogorov ...
Alessia E. Kogoj +2 more
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