Results 71 to 80 of about 1,973 (103)

Sobolev extension in a simple case

Advanced Nonlinear Studies
In this paper, we establish the existence of a bounded, linear extension operator T:L2,p(E)→L2,p(R2) $T :{L}^{2,p}\left(E\right)\to {L}^{2,p}\left({\mathbb{R}}^{2}\right)$ when 1 < p < 2 and E is a finite subset of R2 ${\mathbb{R}}^{2}$ contained in a ...
Drake Marjorie, Fefferman Charles, Ren Kevin, Skorobogatova Anna   +3 more
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An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2022
Buccheri S, Orsina L, Ponce AC.
europepmc   +1 more source

On Copula-Itô processes

Dependence Modeling, 2019
We study the dynamics of the family of copulas {Ct}t≥0 of a pair of stochastic processes given by stochastic differential equations (SDE). We associate to it a parabolic partial differential equation (PDE). Having embedded the set of bivariate copulas in
Jaworski Piotr
doaj   +1 more source

Elliptic operators on refined Sobolev scales on vector bundles

Open Mathematics, 2017
We introduce a refined Sobolev scale on a vector bundle over a closed infinitely smooth manifold. This scale consists of inner product Hörmander spaces parametrized with a real number and a function varying slowly at infinity in the sense of Karamata. We
Zinchenko Tetiana
doaj   +1 more source

Inequalities for Green's operator applied to the minimizers

Journal of Inequalities and Applications, 2011
In this paper, we prove both the local and global Lφ -norm inequalities for Green's operator applied to minimizers for functionals defined on differential forms in Lφ -averaging domains.
Ding Shusen, Agarwal Ravi
doaj  

Dimension Distortion by Sobolev Mappings in Foliated Metric Spaces

Analysis and Geometry in Metric Spaces, 2013
We quantify the extent to which a supercritical Sobolev mapping can increase the dimension of subsets of its domain, in the setting of metric measure spaces supporting a Poincaré inequality. We show that the set of mappings that distort the dimensions of
Balogh Zoltán M., Tyson Jeremy T., Wildrick Kevin   +2 more
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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
doaj   +1 more source

Global existence and decay estimates of the classical solution to the compressible Navier-Stokes-Smoluchowski equations in ℝ3

Advances in Nonlinear Analysis
The compressible Navier-Stokes-Smoluchowski equations under investigation concern the behavior of the mixture of fluid and particles at a macroscopic scale. We devote to the existence of the global classical solution near the stationary solution based on
Tong Leilei
doaj   +1 more source

Existence of ground states to quasi-linear Schrödinger equations with critical exponential growth involving different potentials

Advanced Nonlinear Studies
The purpose of this paper is three-fold. First, we establish singular Trudinger–Moser inequalities with less restrictive constraint:(0.1)supu∈H1(R2),∫R2(|∇u|2+V(x)u2)dx≤1∫R2e4π1−β2u2−1|x ...
Zhang Caifeng, Zhu Maochun
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Double phase anisotropic variational problems involving critical growth

Advances in Nonlinear Analysis
In this study, we investigate some existence results for double phase anisotropic variational problems involving critical growth. We first establish a Lions-type concentration-compactness principle and its variant at infinity for the solution space ...
Ho Ky, Kim Yun-Ho, Zhang Chao
doaj   +1 more source