Results 11 to 20 of about 792 (140)

L 2 harmonic forms and finiteness of ends

Anais da Academia Brasileira de Ciências, 2013
In this paper, we obtain vanishing theorems and finitely many ends theorems of complete Riemannian manifolds with weighted Poincaré inequality, applying them to minimal hypersurfaces.
PENG ZHU
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The Poincaré Inequality Does Not Improve with Blow-Up

Analysis and Geometry in Metric Spaces, 2016
For each β > 1 we construct a family Fβ of metric measure spaces which is closed under the operation of taking weak-tangents (i.e. blow-ups), and such that each element of Fβ admits a (1, P)-Poincaré inequality if and only if P > β.
Schioppa Andrea
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Higher Integrability of the Composite Operator T D G for Differential Forms

Journal of Harbin University of Science and Technology, 2023
We firstly prove the higher integrability of the composite operator T D G by using Poincaré-Sobolev inequalities when 1< p < n. Then further consider the case of p ≥ n and obtain the higher order norm estimation of composite operators, by which the ...
ZHAO Pengfei, BI Shujuan, LIU Zhenjie
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Resistance conditions, Poincaré inequalities, the Lip-lip condition and Hardy’s inequalities

Demonstratio Mathematica, 2016
This note investigates weaker conditions than a Poincaré inequality in analysis on metric measure spaces. We discuss two resistance conditions which are stated in terms of capacities.
Kinnunen Juha, Silvestre Pilar
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Global Exponential Stability and Periodicity of Nonautonomous Impulsive Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms

Complexity, 2021
In this paper, we investigate the global exponential stability and periodicity of nonautonomous cellular neural networks with reaction-diffusion, impulses, and time-varying delays.
Weiyi Hu, Kelin Li
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Qualitative Analysis of a Three-Species Reaction-Diffusion Model with Modified Leslie-Gower Scheme

Journal of Function Spaces, 2021
The qualitative analysis of a three-species reaction-diffusion model with a modified Leslie-Gower scheme under the Neumann boundary condition is obtained.
Xiaoni Wang, Gaihui Guo, Jian Li, Mengmeng Du   +3 more
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Inverse Limit Spaces Satisfying a Poincaré Inequality

Analysis and Geometry in Metric Spaces, 2015
We give conditions on Gromov-Hausdorff convergent inverse systems of metric measure graphs which imply that the measured Gromov-Hausdorff limit (equivalently, the inverse limit) is a PI space i.e., it satisfies a doubling condition and a Poincaré ...
Cheeger Jeff, Kleiner Bruce
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Anisotropic p-Laplace Equations on long cylindrical domain [PDF]

Opuscula Mathematica
The main aim of this article is to study the Poisson type problem for anisotropic \(p\)-Laplace type equation on long cylindrical domains. The rate of convergence is shown to be exponential, thereby improving earlier known results for similar type of ...
Purbita Jana
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Isoperimetric and Poincaré Inequalities on Non-Self-Similar Sierpiński Sponges: the Borderline Case

Analysis and Geometry in Metric Spaces, 2022
In this paper we construct a large family of examples of subsets of Euclidean space that support a 1-Poincaré inequality yet have empty interior. These examples are formed from an iterative process that involves removing well-behaved domains, or more ...
Eriksson-Bique Sylvester, Gong Jasun
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Periodic solutions of a class of integrodifferential impulsive periodic systems with time-varying generating operators on Banach space

Electronic Journal of Qualitative Theory of Differential Equations, 2009
This paper deals with a class of integrodifferential impulsive periodic systems with time-varying generating operators on Banach space. Using impulsive periodic evolution operator given by us, the suitable $T_{0}$-periodic $PC$-mild solution is ...
JinRong Wang, X. Xiang, W. Wei
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