Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains

Boundary Value Problems ◽

10.1155/2007/57928 ◽

2007 ◽

Vol 2007 ◽

pp. 1-24 ◽

Author(s):

Sungwon Cho ◽

Mikhail Safonov

Keyword(s):

Elliptic Equations ◽

Second Order ◽

Regularity Of Solutions ◽

Hölder Regularity ◽

Nonsmooth Domains ◽

Second Order Elliptic Equations ◽

Holder Regularity

Download Full-text

Properties of a solution of the Dirichlet problem for second-order elliptic equations in a class of domains with nonsmooth boundary. I

Lithuanian Mathematical Journal ◽

10.1007/bf00966149 ◽

1987 ◽

Vol 26 (2) ◽

pp. 153-163

Author(s):

K. Pileckas ◽

K. Samaitis

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order ◽

Nonsmooth Boundary ◽

Second Order Elliptic Equations

Download Full-text

Regularity of the generalized solutions of the first boundary-value problem for quasilinear degenerate second-order elliptic equations

Journal of Soviet Mathematics ◽

10.1007/bf01788913 ◽

1984 ◽

Vol 25 (1) ◽

pp. 815-832 ◽

Author(s):

A. V. Ivanov

Keyword(s):

Boundary Value Problem ◽

Elliptic Equations ◽

Boundary Value ◽

Second Order ◽

Generalized Solutions ◽

Second Order Elliptic Equations

Download Full-text

On Regularity and Existence of Viscosity Solutions of Nonlinear Second Order, Elliptic Equations

Partial Differential Equations and the Calculus of Variations ◽

10.1007/978-1-4684-9196-8_41 ◽

1989 ◽

pp. 939-957 ◽

Author(s):

Neil S. Trudinger

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Second Order ◽

Regularity And Existence ◽

Second Order Elliptic Equations

Download Full-text

The Dirichlet Problem for Two-Dimensional Quasi-Linear Second-Order Elliptic Equations

Linear Operators and Operator Equations ◽

10.1007/978-1-4757-0013-8_7 ◽

1971 ◽

pp. 115-125

Author(s):

N. M. Ivochkina

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order ◽

Two Dimensional ◽

Second Order Elliptic Equations

Download Full-text

Three sphere inequality for second order elliptic equations with coefficients with jump discontinuity

Journal of Differential Equations ◽

10.1016/j.jde.2018.07.069 ◽

2019 ◽

Vol 266 (2-3) ◽

pp. 936-941 ◽

Author(s):

Michele Di Cristo ◽

Yong Ren

Keyword(s):

Elliptic Equations ◽

Second Order ◽

Jump Discontinuity ◽

Three Sphere ◽

Second Order Elliptic Equations

Download Full-text

The Behavior of Solutions to the Dirichlet Problem for Second Order Elliptic Equations with Variable Nonlinearity Exponent in a Neighborhood of a Conical Boundary Point

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2570-7 ◽

2015 ◽

Vol 210 (4) ◽

pp. 341-370 ◽

Author(s):

Yu. Alkhutov ◽

M. V. Borsuk

Keyword(s):

Dirichlet Problem ◽

Boundary Point ◽

Elliptic Equations ◽

Second Order ◽

Second Order Elliptic Equations

Download Full-text

Sharp counterexamples in unique continuation for second order elliptic equations

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.2002.003 ◽

2002 ◽

Vol 2002 (542) ◽

Author(s):

Herbert Koch ◽

Daniel Tataru

Keyword(s):

Elliptic Equations ◽

Unique Continuation ◽

Second Order ◽

Second Order Elliptic Equations

Download Full-text

Maximum Principles for $P1$-Conforming Finite Element Approximations of Quasi-linear Second Order Elliptic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/110833737 ◽

2012 ◽

Vol 50 (2) ◽

pp. 626-642 ◽

Author(s):

Junping Wang ◽

Ran Zhang

Keyword(s):

Finite Element ◽

Elliptic Equations ◽

Second Order ◽

Maximum Principles ◽

Finite Element Approximations ◽

Conforming Finite Element ◽

Second Order Elliptic Equations

Download Full-text

High-order schemes of the finite elements method for second-order elliptic equations in three-dimensional domains. II

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(79)90098-3 ◽

1979 ◽

Vol 19 (5) ◽

pp. 54-61

Author(s):

V.G. Korneev

Keyword(s):

Finite Elements ◽

Elliptic Equations ◽

Three Dimensional ◽

Second Order ◽

Finite Elements Method ◽

High Order Schemes ◽

Second Order Elliptic Equations

Download Full-text

estimate to the mixed boundary value problem for second order elliptic equations and its application in the thermistor problem

Nonlinear Analysis ◽

10.1016/0362-546x(94)e0038-i ◽

1995 ◽

Vol 24 (1) ◽

pp. 9-27 ◽

Author(s):

Hong Xie

Keyword(s):

Boundary Value Problem ◽

Elliptic Equations ◽

Mixed Boundary ◽

Boundary Value ◽

Second Order ◽

Mixed Boundary Value Problem ◽

Thermistor Problem ◽

Second Order Elliptic Equations

Download Full-text