The local regularity of solutions of degenerate elliptic equations

Eugene B. Fabes, Carlos E. Kenig, Raul Serapioni

Type: Article

Publication Date: 1982-01-01

Citations: 946

DOI: https://doi.org/10.1080/03605308208820218

View Publication

Locations

Communications in Partial Differential Equations - View

Similar Works

Action	Title	Year	Authors
+	C(1 + Alpha) Local Regularity of Weak Solutions of Degenerate Elliptic Equations.	1982	E. DiBenedetto
+	C1 + α local regularity of weak solutions of degenerate elliptic equations	1983	Emmanuele DiBenedetto
+	Local existence and regularity for a class of degenerate parabolic equations	1988	Sigurd Angenent
+	Local regularity of solutions of elliptic systems	2010	Shmuel Agmon
+	A Theorem on Global Regularity for Solutions of Degenerate Elliptic Equations	2011	Albo Carlos Cavalheiro
+	Regularity of Solutions to the Dirichlet Problem for Degenerate Elliptic Equation	2003	Yemin Chen
+	Singularity and regularity of solutions to a certain class of degenerate elliptic equations	2008	Zhu Xiang-rong
+	Hölder regularity of solutions of degenerate elliptic and parabolic equations	2003	P. Daskalopoulos Ki-Ahm Lee
+	Regularity of solutions of a degenerate elliptic variational problem	1990	Luigi Ambrosio
+	Regularity of solutions of degenerate -harmonic equations	2010	Flavia Giannetti Luigi Greco Antonia Passarelli di Napoli
+ PDF Chat	Regularity for solutions of non local parabolic equations	2012	Héctor A. Chang‐Lara Gonzalo Dávila
+ PDF Chat	Local Gradient Estimates for Degenerate Elliptic Equations	2016	Luan Hoang Truyen Nguyen Tuoc Phan
+	Weak regularity of degenerate elliptic equations	2017	Vladimir Gol’dshtein Alexander Ukhlov
+	Local regularity properties for the solutions of a nonlinear partial differential equation	1982	François de Thélin
+	THE REGULARITY OF SOLUTIONS FOR NONLINEAR DEGENERATE ELLIPTIC BOUNDARY VALUE PROBLEM	1990	洪家兴
+	Local Partial Regularity Theorems for Suitable Weak Solutions of a Class of Degenerate Systems	1996	Xiangsheng Xu
+	Local partial regularity theorems for suitable weak solutions of a class of degenerate systems	1996	Xiangsheng Xu
+	On the interior regularity for degenerate elliptic equations.	2012	Wei Zhou
+	Local behavior of solutions of an elliptic-parabolic equation	1987	Emmanuele Di Benedetto Ronald Gariepy
+	Boundedness and regularity of solutions of degenerate elliptic partial differential equations	2017	Seng-Kee Chua

Works That Cite This (912)

Action	Title	Year	Authors
+	Elliptic and parabolic PDEs : regularity for nonlocal diffusion equations and two isoperimetric problems	2014	Joaquim Serra Montolí
+ PDF Chat	Nondivergence form degenerate linear parabolic equations on the upper half space	2024	Hongjie Dong Tuoc Phan Hung V. Tran
+ PDF Chat	Analysis of degenerate elliptic operators of Grušin type	2007	Derek W. Robinson Adam Sikora
+ PDF Chat	A posteriori error estimates for the Stokes problem with singular sources	2018	Alejandro Allendes Enrique Otárola Abner J. Salgado
+ PDF Chat	Harnack inequality and regularity for degenerate quasilinear elliptic equations	2009	Giuseppe Di Fazio Maria Stella Fanciullo Pietro Zamboni
+	Parabolic and elliptic equations with singular or degenerate coefficients: The Dirichlet problem	2021	Hongjie Dong Tuoc Phan
+ PDF Chat	Global maximal regularity for equations with degenerate weights	2023	Anna Kh. Balci Sun‐Sig Byun Lars Diening Ho-Sik Lee
+ PDF Chat	The thin obstacle problem for some variable coefficient degenerate elliptic operators	2022	Agnid Banerjee Federico Buseghin Nicola Garofalo
+	A change of variable for Dahlberg-Kenig-Pipher operators	2021	Joseph Feneuil
+ PDF Chat	Weighted gradient inequalities and unique continuation problems	2020	Laura De Carli Д. В. Горбачев Sergey Tikhonov

Works Cited by This (16)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+ PDF Chat	Weighted norm inequalities for maximal functions and singular integrals	1974	Ronald R. Coifman Charles Fefferman
+ PDF Chat	Weighted norm inequalities for the Hardy maximal function	1972	Benjamin Muckenhoupt
+ PDF Chat	Weighted norm inequalities for fractional integrals	1974	Benjamin Muckenhoupt Richard L. Wheeden
+	Regular points for elliptic equations with discontinuous coefficients	1963	Walter Littman G. Stampacchia Hans F. Weinberger
+	On Harnack's theorem for elliptic differential equations	1961	Jürgen Moser
+ PDF Chat	Boundary value problems for some degenerate-elliptic operators	1968	M.R.V. Murthy G. Stampacchia
+ PDF Chat	The Lp-integrability of the partial derivatives of A quasiconformal mapping	1973	F. W. Gehring
+	A Harnack Inequality for Weak Solutions of Degenerate Quasilinear Elliptic Equations	1972	D. E. Edmunds L. A. Peletier
+	On the regularity of generalized solutions of linear, non-uniformly elliptic equations	1971	Neil S. Trudinger