On the variational limit of a class of nonlocal functionals related to peridynamics
T Mengesha, Q Du - Nonlinearity, 2015 - iopscience.iop.org
In this paper we study variational problems on a bounded domain for a nonlocal elastic
energy of peridynamic-type which result in nonlinear systems of nonlocal equations. The …
energy of peridynamic-type which result in nonlinear systems of nonlocal equations. The …
[图书][B] Fractional Sobolev spaces and inequalities
DE Edmunds, WD Evans - 2022 - books.google.com
The fractional Sobolev spaces studied in the book were introduced in the 1950s by
Aronszajn, Gagliardo and Slobodeckij in an attempt to fill the gaps between the classical …
Aronszajn, Gagliardo and Slobodeckij in an attempt to fill the gaps between the classical …
[图书][B] Maximal function methods for Sobolev spaces
J Kinnunen, J Lehrbäck, A Vähäkangas - 2021 - books.google.com
This book discusses advances in maximal function methods related to Poincaré and
Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's …
Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's …
Diffeomorphic approximation of Sobolev homeomorphisms
T Iwaniec, LV Kovalev, J Onninen - Archive for rational mechanics and …, 2011 - Springer
Diffeomorphic Approximation of Sobolev Homeomorphisms Page 1 Digital Object Identifier (DOI)
10.1007/s00205-011-0404-4 Arch. Rational Mech. Anal. 201 (2011) 1047–1067 Diffeomorphic …
10.1007/s00205-011-0404-4 Arch. Rational Mech. Anal. 201 (2011) 1047–1067 Diffeomorphic …
[图书][B] Lyapunov inequalities and applications
RP Agarwal, M Bohner, A Özbekler - 2021 - Springer
Inequalities play a fundamental rôle in all areas of mathematics and their applications.
Among several well-known inequalities, Lyapunov-type inequalities have been studied …
Among several well-known inequalities, Lyapunov-type inequalities have been studied …
Hardy's inequality in a variable exponent Sobolev space
P Harjulehto, P Hst, M Koskenoja - 2005 - degruyter.com
We show that a norm version of Hardy's inequality holds in a variable exponent Sobolev
space provided the maximal operator is bounded. Our proof uses recent local versions of the …
space provided the maximal operator is bounded. Our proof uses recent local versions of the …
Global Lorentz and Lorentz–Morrey estimates below the natural exponent for quasilinear equations
K Adimurthi, NC Phuc - Calculus of Variations and Partial Differential …, 2015 - Springer
Abstract Lorentz and Lorentz–Morrey estimates are obtained for gradients of very weak
solutions to quasilinear equations of the form div\, A (x, ∇ u)= div\,| f|^ p-2 f, div A (x,∇ u) …
solutions to quasilinear equations of the form div\, A (x, ∇ u)= div\,| f|^ p-2 f, div A (x,∇ u) …
Pointwise characterizations of Hardy-Sobolev functions
P Koskela, E Saksman - arXiv preprint math/0611901, 2006 - arxiv.org
arXiv:math/0611901v1 [math.FA] 29 Nov 2006 Page 1 arXiv:math/0611901v1 [math.FA] 29
Nov 2006 POINTWISE CHARACTERIZATIONS OF HARDY-SOBOLEV FUNCTIONS PEKKA …
Nov 2006 POINTWISE CHARACTERIZATIONS OF HARDY-SOBOLEV FUNCTIONS PEKKA …
Fractional Poincaré and localized Hardy inequalities on metric spaces
B Dyda, J Lehrbäck, AV Vähäkangas - Advances in Calculus of …, 2023 - degruyter.com
Abstract We prove fractional Sobolev–Poincaré inequalities, capacitary versions of fractional
Poincaré inequalities, and pointwise and localized fractional Hardy inequalities in a metric …
Poincaré inequalities, and pointwise and localized fractional Hardy inequalities in a metric …