Results 61 to 70 of about 792 (140)

Spectral Theory from the Second-Order q-Difference Operator

International Journal of Mathematics and Mathematical Sciences, 2007
Spectral theory from the second-order q-difference operator Δq is developed. We give an integral representation of its inverse, and the resolvent operator is obtained. As application, we give an analogue of the Poincare inequality.
Lazhar Dhaouadi
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Resistance Conditions and Applications

Analysis and Geometry in Metric Spaces, 2013
This paper studies analytic aspects of so-called resistance conditions on metric measure spaces with a doubling measure. These conditions are weaker than the usually assumed Poincaré inequality, but however, they are sufficiently strong to imply several ...
Kinnunen Juha, Silvestre Pilar
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An Application of the Browder-Minty Theorem in a Problem of Partial Differential Equations

REMAT, 2019
In this work, we will show existence of weak solution for a semilinear elliptic problem using as main tool the Browder-Minty Theorem. First, we will make a brief introduction about basic theory of the Sobolev Spaces to support our study and provide ...
Westher Manricky Bernardes Fortunato, Dassael Fabricio dos Reis Santos   +1 more
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Poincaré and Log–Sobolev Inequalities for Mixtures

Entropy, 2019
This work studies mixtures of probability measures on R n and gives bounds on the Poincaré and the log–Sobolev constants of two-component mixtures provided that each component satisfies the functional inequality, and both components are close in ...
André Schlichting
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Boundary Regularity for p-Harmonic Functions and Solutions of Obstacle Problems on Unbounded Sets in Metric Spaces

Analysis and Geometry in Metric Spaces, 2019
The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in complete metric spaces with a doubling measure supporting a p-Poincaré inequality, 1 < p < ∞.
Björn Anders, Hansevi Daniel
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Two bounds on the noncommuting graph

Open Mathematics, 2015
Erdős introduced the noncommuting graph in order to study the number of commuting elements in a finite group. Despite the use of combinatorial ideas, his methods involved several techniques of classical analysis.
Nardulli Stefano, Russo Francesco G.
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A sharp reverse Bonnesen-style inequality and generalization

Journal of Inequalities and Applications, 2019
We investigate the isoperimetric deficit of the oval domain in the Euclidean plane. Via the kinematic formulae of Poincaré and Blaschke, and Blaschke’s rolling theorem, we obtain a sharp reverse Bonnesen-style inequality for a plane oval domain, which ...
Pengfu Wang
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A Liouville-type theorem for 3D stationary Navier–Stokes equations

Results in Applied Mathematics
In this paper, we establish a Liouville-type theorem for smooth solutions of the stationary Navier–Stokes equations under a growth condition on the Lebesgue norms. Based on this condition, we prove a lemma analogous to the Poincaré-type inequality in the
Zixuan Shen, Deyi Ma
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Weighted Variable Exponent Sobolev spaces on metric measure spaces

Moroccan Journal of Pure and Applied Analysis, 2018
In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
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Poincaré inequality for one-forms on four manifolds with bounded Ricci curvature. [PDF]

Arch Math
Honda S, Mondino A.
europepmc   +1 more source