Results 121 to 130 of about 5,040,927 (317)
Diffeomorphism Invariant Minimization of Functionals with Nonuniform Coercivity
MathematicsWe consider the minimization of a functional of the calculus of variations, under assumptions that are diffeomorphism invariant. In particular, a nonuniform coercivity condition needs to be considered.
Marco Degiovanni, Marco Marzocchi
doaj +1 more source
Journal of Metamorphic Geology, EarlyView.ABSTRACT This study presents a comprehensive examination of exceptionally preserved eclogites from the Baie Verte Peninsula, Newfoundland Appalachians, which display a high‐temperature overprint, thus offering insights into the metamorphic evolution and exhumation mechanisms of such terrains. Through an integrated approach combining field observations,
Ludovico G. Scorsolini +4 more
wiley +1 more source
Embedding theorems for Sobolev and Hardy-Sobolev spaces and estimates of Fourier transforms [PDF]
arXiv, 2018 We prove embeddings of Sobolev and Hardy-Sobolev spaces into Besov spaces built upon certain mixed norms. This gives an improvment of the known embeddings into usual Besov spaces. Applying these results, we obtain Oberlin type estimates of Fourier transforms for functions in Sobolev spaces $W_1^1(\mathbb R^n).$
arxiv
Approximate extension in Sobolev space
Advances in Mathematics, 2023 Let $L^{m,p}(\mathbb{R}^n)$ be the homogeneous Sobolev space for $p \in (n,\infty)$, $μ$ be a Borel regular measure on $\mathbb{R}^n$, and $L^{m,p}(\mathbb{R}^n) + L^p(dμ)$ be the space of Borel measurable functions with finite seminorm $\|f\|_{L^{m,p}(\mathbb{R}^n) + L^p(dμ)} := \text{inf}_{f_1 +f_2 = f} \{ \|f_1\|_{L^{m,p}(\mathbb{R}^n)}^p + \int_ ...
openaire +2 more sources
Continuity of functions belonging to the fractional order Sobolev-Grand Lebesgue Spaces [PDF]
arXiv, 2013 We extend in this article the classical Sobolev inequalities for the module of continuity for the functions belonging to the integer order Sobolev's space on the Sobolev-Bilateral Grand Lebesgue spaces. As a consequence, we deduce the fractional Orlicz-Sobolev imbedding theorems and investigate the rectangle module of continuity of non-Gaussian ...
arxiv
A new characterization of the Sobolev space
, 2003 The purpose of this paper is to provide a new characterization of the Sobolev space W 1,1(Rn). We also show a new proof of the characterization of the Sobolev space W 1,p(Rn), 1 ≤ p
P. Hajłasz
semanticscholar +1 more source
Removing scalar curvature assumption for Ricci flow smoothing
Bulletin of the London Mathematical Society, EarlyView.Abstract In recent work of Chan–Huang–Lee, it is shown that if a manifold enjoys uniform bounds on (a) the negative part of the scalar curvature, (b) the local entropy, and (c) volume ratios up to a fixed scale, then there exists a Ricci flow for some definite time with estimates on the solution assuming that the local curvature concentration is small ...
Adam Martens
wiley +1 more source
Optimal Regularity Properties of the Generalized Sobolev Spaces
Journal of Function Spaces and Applications, 2013 We prove optimal embeddings of the generalized Sobolev spaces , where is a rearrangement invariant function space, into the generalized Hölder-Zygmund space generated by a function space .
G. E. Karadzhov, Qaisar Mehmood
doaj +1 more source
Sobolev trace inequality on $W^{s,q}(\mathbb{R}^n)$ [PDF]
arXiv, 2019 Sobolev trace inequalities on nonhomogeneous fractional Sobolev spaces are established.
arxiv
The sharp higher order Lorentz--Poincaré and Lorentz--Sobolev inequalities in the hyperbolic spaces [PDF]
arXiv, 2020 In this paper, we study the sharp Poincar\'e inequality and the Sobolev inequalities in the higher order Lorentz--Sobolev spaces in the hyperbolic spaces. These results generalize the ones obtained in \cite{Nguyen2020a} to the higher order derivatives and seem to be new in the context of the Lorentz--Sobolev spaces defined in the hyperbolic spaces.
arxiv