Harnack's inequality for elliptic equations and the H�lder property of their solutions

M. V. Safonov

doi:10.1007/bf01094448

Harnack's inequality for elliptic equations and the H�lder property of their solutions

Journal of Soviet Mathematics ◽

10.1007/bf01094448 ◽

1983 ◽

Vol 21 (5) ◽

pp. 851-863 ◽

Cited By ~ 31

Author(s):

M. V. Safonov

Keyword(s):

Elliptic Equations ◽

Harnack’S Inequality ◽

Harnack's Inequality

On Harnack's inequality for almost solutions of elliptic equations

Izvestiya Mathematics ◽

10.1070/im2009v073n05abeh002471 ◽

2009 ◽

Vol 73 (5) ◽

pp. 1023-1031

Author(s):

Vladimir M Miklyukov

Keyword(s):

Elliptic Equations ◽

Harnack’S Inequality ◽

Harnack's Inequality

Harnack’s inequality for solutions of some degenerate elliptic equations

Revista Matemática Iberoamericana ◽

10.4171/rmi/321 ◽

2002 ◽

pp. 325-354 ◽

Cited By ~ 11

Author(s):

Ahmed Mohammed

Keyword(s):

Elliptic Equations ◽

Degenerate Elliptic Equations ◽

Harnack’S Inequality ◽

Degenerate Elliptic ◽

Harnack's Inequality

Harnack's inequality and mean—value inequalities for solutions of degenerate elliptic equations

Communications in Partial Differential Equations ◽

10.1080/03605308608820458 ◽

1986 ◽

Vol 11 (10) ◽

pp. 1111-1134 ◽

Cited By ~ 33

Author(s):

Sagun Chanillo ◽

Richard L. Wheeden

Keyword(s):

Elliptic Equations ◽

Mean Value ◽

Degenerate Elliptic Equations ◽

Harnack’S Inequality ◽

Degenerate Elliptic ◽

Mean Value Inequalities ◽

Harnack's Inequality

Weak Harnack’s Inequality for non-negative solutions of elliptic equations with potential

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-01-06171-8 ◽

2001 ◽

Vol 129 (9) ◽

pp. 2617-2621 ◽

Cited By ~ 1

Author(s):

Ahmed Mohammed

Keyword(s):

Elliptic Equations ◽

Harnack’S Inequality ◽

Harnack's Inequality

Harnack’s Inequality and Applications of Quasilinear Degenerate Elliptic Equations with Rough and Singular Coefficients

Bulletin of the Brazilian Mathematical Society New Series ◽

10.1007/s00574-017-0054-8 ◽

2017 ◽

Vol 49 (2) ◽

pp. 279-312

Author(s):

Pengcheng Niu ◽

Leyun Wu

Keyword(s):

Elliptic Equations ◽

Degenerate Elliptic Equations ◽

Harnack’S Inequality ◽

Singular Coefficients ◽

Degenerate Elliptic ◽

Harnack's Inequality

Harnack’s Inequality for Quasilinear Elliptic Equations with Singular Absorption Term

Potential Analysis ◽

10.1007/s11118-018-9691-9 ◽

2018 ◽

Vol 50 (4) ◽

pp. 521-539 ◽

Cited By ~ 2

Author(s):

I. I. Skrypnik

Keyword(s):

Elliptic Equations ◽

Quasilinear Elliptic Equations ◽

Harnack’S Inequality ◽

Harnack's Inequality ◽

Quasilinear Elliptic

Harnack’s inequality for viscosity solutions to degenerate elliptic equations in two variables

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-09-10030-8 ◽

2009 ◽

Vol 137 (11) ◽

pp. 3703-3703

Author(s):

G. Gripenberg

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Degenerate Elliptic Equations ◽

Harnack’S Inequality ◽

Degenerate Elliptic ◽

Harnack's Inequality

Harnack's inequality for p(⋅)-harmonic functions with unbounded exponent p

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.05.090 ◽

2009 ◽

Vol 352 (1) ◽

pp. 345-359 ◽

Cited By ~ 20

Author(s):

Petteri Harjulehto ◽

Peter Hästö ◽

Visa Latvala

Keyword(s):

Harmonic Functions ◽

Harnack’S Inequality ◽

Harnack's Inequality

On Harnack’s Inequality for the Linearized Parabolic Monge-Ampère Equation

Potential Analysis ◽

10.1007/s11118-015-9504-3 ◽

2015 ◽

Vol 44 (1) ◽

pp. 169-188

Author(s):

Diego Maldonado

Keyword(s):

Harnack’S Inequality ◽

Harnack's Inequality ◽

Monge Ampere

An elementary proof of Harnack’s inequality for Schrödinger operators and related topics

Mathematische Zeitschrift ◽

10.1007/bf02570727 ◽

1990 ◽

Vol 203 (1) ◽

pp. 129-152 ◽

Cited By ~ 18

Author(s):

Christian G. Simader

Keyword(s):

Elementary Proof ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Harnack’S Inequality ◽

Harnack's Inequality