Lebesgue and Sobolev Spaces with Variable Exponents

Lars Diening, Petteri Harjulehto, Peter Hästö, Michael Růžička

Type: Book-Chapter

Publication Date: 2015-06-11

Citations: 1146

DOI: https://doi.org/10.1201/b18601-9

Abstract

1 Introduction.- 2 A framework for function spaces.- 3 Variable exponent Lebesgue spaces.- 4 The maximal operator.- 5 The generalized Muckenhoupt condition*.- 6 Classical operators.- 7 Transfer techniques.- 8 Introduction to Sobolev spaces.- 9. Density of regular functions.- 10. Capacities.- 11 Fine properties of Sobolev functions.- 12 Other spaces of differentiable functions.- 13 Dirichlet energy integral and Laplace equation.- 14 PDEs and fluid dynamics

Locations

Chapman and Hall/CRC eBooks - View
Library Union Catalog of Bavaria, Berlin and Brandenburg (B3Kat Repository) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Lebesgue and Sobolev spaces with variable exponents	2014	Olli Toivanen
+ PDF Chat	Lebesgue and Sobolev Spaces with Variable Exponents	2015
+	Lebesgue and Sobolev Spaces with Variable Exponents	2011	Lars Diening Petteri Harjulehto Peter Hästö Michael Růžička
+	Variable Lebesgue Spaces: Foundations and Harmonic Analysis	2013	David Cruz-Uribe Alberto Fıorenza
+	Variable Exponent Lebesgue and Sobolev Spaces	2021
+	Fractional Sobolev spaces with variable exponents and fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>-Laplacians	2017	Uriel Kaufmann Julio D. Rossi Raúl E. Vidal
+	Sobolev Spaces with Variable Exponent	2014
+	Nonlinear PDE in variable exponent Sobolev spaces	2024	Yosra Annabi
+	The Lebesgue and Sobolev Spaces	2014	Fabio Botelho
+	The Lebesgue and Sobolev Spaces	2020	Fabio Botelho
+	The Hardy-Littlewood maximal operator on Lebesgue spaces with variable exponent (Harmonic Analysis and Nonlinear Partial Differential Equations)	2013	Mitsuo Izuki Eiichi Nakai Yoshihiro Sawano
+	Embedding operators of Sobolev spaces with variable exponents and applications	2015	Veli Shakhmurov
+	Sobolev spaces with variable exponents on Riemannian manifolds	2013	Michał Gaczkowski Przemysław Górka
+	On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators	2005	Stefan Samko
+	The Dirichlet Energy Integral and Variable Exponent Sobolev Spaces with Zero Boundary Values	2006	Petteri Harjulehto Peter Hästö Mika Koskenoja S. Varonen
+	Sobolev Spaces	2021
+	Vector-Valued Weighted Sobolev Spaces with Variable Exponent	2019	İsmail Aydın
+	Sobolev Spaces	2019	Petteri Harjulehto Peter Hästö
+ PDF Chat	Weighted Variable Exponent Sobolev spaces on metric measure spaces	2018	M. C. Hassib Youssef Akdim
+	Mixed norm Lebesgue spaces with variable exponents and applications	2018	Kwok‐Pun Ho

Works That Cite This (1119)

Action	Title	Year	Authors
+	Maximal and Calderon-Zygmund operators on the local variable Morrey-Lorentz spaces and some applications.	2021	Abdulhamit Küçükaslan Vagif S. Guliyev Canay Aykol A. Serbetci
+	Asymptotically autonomous multivalued Cauchy problems with spatially variable exponents	2016	Peter E. Kloeden Jacson Simsen Mariza Stefanello Simsen
+	Blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy	2013	Xiulan Wu Bin Guo Wenjie Gao
+ PDF Chat	Anisotropic equations with indefinite potential and competing nonlinearities	2020	Nikolaos S. Papageorgiou Vicenţiu D. Rădulescu Dušan Repovš
+	Coifman–Meyer multipliers: Leibniz-type rules and applications to scattering of solutions to PDEs	2019	Virginia Naibo Alexander Thomson
+ PDF Chat	Bayesian approach to inverse problems for functions with a variable-index Besov prior	2016	Junxiong Jia Jigen Peng Jinghuai Gao
+	On blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy	2013	Hua Wang Yijun He
+	Regularity of solutions to a class of variable–exponent fully nonlinear elliptic equations	2020	Anne C. Bronzi Edgard A. Pimentel Giane C. Rampasso Eduardo V. Teixeira
+ PDF Chat	Uniform convexity and associate spaces	2018	Petteri Harjulehto Peter Hästö
+ PDF Chat	Optimal Control Problem for Bianchi Equation in Variable Exponent Sobolev Spaces	2018	Rovshan A. Bandaliyev Vagif S. Guliyev Ilgar G. Mamedov Yasin Rustamov

Works Cited by This (2)

Action	Title	Year	Authors
+	Other Spaces of Differentiable Functions	2011	Lars Diening Petteri Harjulehto Peter Hästö Michael Růžička
+	6 Besov and Triebel–Lizorkin spaces	2023