Solutions of the divergence operator on John domains

Gabriel Acosta, Ricardo G. Durán, María Amelia Muschietti

Type: Article

Publication Date: 2005-11-05

Citations: 131

DOI: https://doi.org/10.1016/j.aim.2005.09.004

View Publication

Locations

Advances in Mathematics - View
CiteSeer X (The Pennsylvania State University) - View - PDF
Americanae (AECID Library) - View - PDF
LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Solutions of the divergence and Korn inequalities on domains with an external cusp	2009	Ricardo G. Durán Fernando López García
+	Solutions of the divergence and Korn inequalities on domains with an external cusp	2010	Ricardo G. Durán Fernando López García
+ PDF Chat	Solvability of the divergence equation implies John via Poincaré inequality	2014	Renjin Jiang Aapo Kauranen Pekka Koskela
+ PDF Chat	SOLUTIONS OF THE DIVERGENCE AND ANALYSIS OF THE STOKES EQUATIONS IN PLANAR HÖLDER-α DOMAINS	2009	Ricardo G. Durán Fernando López García
+	A right inverse of the divergence for planar Hölder-$\alpha$ domains	2008	Ricardo G. Durán Fernando López García
+	A right inverse of the divergence for planar Hölder-$α$ domains	2008	Ricardo G. Durán Fernando López García
+	Solvability of the divergence equation implies John via Poincaré inequality	2013	Renjin Jiang Aapo Kauranen Pekka Koskela
+	A decomposition technique for integrable functions with applications to the divergence problem	2013	Fernando López García
+ PDF Chat	Korn inequality and divergence operator: Counterexamples and optimality of weighted estimates	2012	Gabriel Acosta Ricardo G. Durán Fernando López García
+	A decomposition technique for John domains	2010	Lars Diening Michael Růžička Katrin Schumacher
+	Divergence operator and Poincare inequalities on arbitrary bounded domains	2009	Ricardo G. Durán Maria-Amelia Muschietti Emmanuel Russ Philippe Tchamitchian
+ PDF Chat	Divergence operator and Poincaré inequalities on arbitrary bounded domains	2010	Ricardo G. Durán M. A. Muschietti Emmanuel Russ Philippe Tchamitchian
+	Weighted Korn inequality on John domains	2016	Fernando López García
+	Weighted Korn inequality on John domains	2016	Fernando López García
+	Improved weighted Poincaré inequalities in John domains and application to the divergence equation	2022	María Eugenia Cejas
+	The Neumann problem in rough domains	2024	Derek Sparrius
+ PDF Chat	Regularity of a Free Boundary with Application to the Pompeiu Problem	2000	Luis Caffarelli Lavi Karp Henrik Shahgholian
+	Divergence Operator	2017	Gabriel Acosta Ricardo G. Durán
+	Extending Sobolev Functions with Partially Vanishing Traces from Locally (epsilon,delta)-Domains and Applications to Mixed Boundary Problems	2012	Kevin Brewster Dorina Mitrea Irina Mitrea Marius Mitrea
+	On a decomposition of regular domains into John domains with uniform constants	2016	Manuel Friedrich

Works That Cite This (110)

Action	Title	Year	Authors
+	Weak and measure-valued solutions to the Euler and ideal MHD equations	2021	Leonardo Epiphanio Galvão
+	Estimates for Green functions of Stokes systems in two dimensional domains	2018	Jongkeun Choi Doyoon Kim
+	A conformal Korn inequality on Hölder domains	2019	Zongqi Ding Bo Li
+	Analysis of divergence free conforming virtual elements for the Brinkman problem	2023	Xuehai Huang Feng Wang
+ PDF Chat	Construction of a Right Inverse for the Divergence in Non-cylindrical Time Dependent Domains	2023	Olli Saari Sebastian Schwarzacher
+	Boundary value problems in Lipschitz domains for equations with lower order coefficients	2019	Georgios Sakellaris
+ PDF Chat	Large-scale regularity for the stationary Navier–Stokes equations over non-Lipschitz boundaries	2024	Mitsuo Higaki Christophe Prange Jinping Zhuge
+	Higher Order Fractional Differentiability for the Stationary Stokes System	2022	Ling Wei Zhen Qiu Zhang Qi Xiong
+ PDF Chat	The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier–Stokes system	2016	Lars Diening Eduard Feireisl Yong Lu
+	Convergence rates and $W^{1,p}$ estimates in homogenization theory of Stokes systems in Lipschitz domains	2016	Qiang Xu

Works Cited by This (8)

Action	Title	Year	Authors
+ PDF Chat	Sobolev-Poincaré implies John	1995	Stephen M. Buckley Pekka Koskela
+ PDF Chat	Sobolev functions whose inner trace at the boundary is zero	1999	David Swanson William P. Ziemer
+ PDF Chat	On certain inequalities and characteristic value problems for analytic functions and for functions of two variables	1937	K. O. Friedrichs
+ PDF Chat	Injectivity theorems in plane and space	1979	Олли Мартио Jukka Sarvas
+ PDF Chat	An explicit right inverse of the divergence operator which is continuous in weighted norms	2001	Ricardo G. Durán María Amelia Muschietti
+ PDF Chat	Quasiminimal surfaces of codimension 1 and John domains	1998	Guy David Stephen Semmes
+ PDF Chat	Quasiconformal mappings and extendability of functions in sobolev spaces	1981	Peter W. Jones
+	On Singular Integrals	1956	A. P. Calderón A. Zygmund