Maximum Principles for Second Order Elliptic Equations in Nondivergence Form and Applications

Journal of Mathematics and Statistics ◽

10.3844/jmssp.2008.9.14 ◽

2008 ◽

Vol 4 (1) ◽

pp. 9-14

Author(s):

Mohammad Al-Mahamee

Keyword(s):

Elliptic Equations ◽

Second Order ◽

Maximum Principles ◽

Nondivergence Form ◽

Second Order Elliptic Equations

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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

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On maximum principles for a class of nonlinear second-order elliptic equations

Journal of Differential Equations ◽

10.1016/0022-0396(80)90086-8 ◽

1980 ◽

Vol 37 (1) ◽

pp. 39-48 ◽

Author(s):

L.E. Payne ◽

G.A. Philippin

Keyword(s):

Elliptic Equations ◽

Second Order ◽

Maximum Principles ◽

Second Order Elliptic Equations

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Second-Order Elliptic Equations of Nondivergence Form with Small BMO Coefficients in ℝ n

Potential Analysis ◽

10.1007/s11118-011-9240-2 ◽

2011 ◽

Vol 36 (4) ◽

pp. 557-568 ◽

Author(s):

Fengping Yao

Keyword(s):

Elliptic Equations ◽

Second Order ◽

Nondivergence Form ◽

Bmo Coefficients ◽

Second Order Elliptic Equations

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Adaptive First-Order System Least-Squares Finite Element Methods for Second-Order Elliptic Equations in Nondivergence Form

SIAM Journal on Numerical Analysis ◽

10.1137/19m1271099 ◽

2020 ◽

Vol 58 (6) ◽

pp. 3286-3308

Author(s):

Weifeng Qiu ◽

Shun Zhang

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Elliptic Equations ◽

Second Order ◽

Order System ◽

First Order ◽

Nondivergence Form ◽

Second Order Elliptic Equations

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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

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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

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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

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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

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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

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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

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