On solvability of the Dirichlet problem with the boundary function in L 2 for a second-order elliptic equation

V. Zh. Dumanyan

doi:10.3103/s1068362315040019

On solvability of the Dirichlet problem with the boundary function in L 2 for a second-order elliptic equation

Journal of Contemporary Mathematical Analysis ◽

10.3103/s1068362315040019 ◽

2015 ◽

Vol 50 (4) ◽

pp. 153-166 ◽

Cited By ~ 7

Author(s):

V. Zh. Dumanyan

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Boundary Function ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

Solvability of the dirichlet problem for a second-order elliptic equation with a boundary function from L p

Doklady Mathematics ◽

10.1134/s1064562411020281 ◽

2011 ◽

Vol 83 (2) ◽

pp. 219-221 ◽

Cited By ~ 10

Author(s):

A. K. Gushchin

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Boundary Function ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

Smoothness of solutions to the Dirichlet problem for a second-order elliptic equation with a square integrable boundary function

Doklady Mathematics ◽

10.1134/s1064562407040023 ◽

2007 ◽

Vol 76 (1) ◽

pp. 486-489 ◽

Cited By ~ 6

Author(s):

A. K. Gushchin

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Boundary Function ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation ◽

Smoothness Of Solutions

ON EXCEPTIONAL SETS ON THE BOUNDARY AND THE UNIQUENESS OF SOLUTIONS OF THE DIRICHLET PROBLEM FOR A SECOND ORDER ELLIPTIC EQUATION

Mathematics of the USSR-Sbornik ◽

10.1070/sm1981v039n01abeh001475 ◽

1981 ◽

Vol 39 (1) ◽

pp. 107-123 ◽

Cited By ~ 1

Author(s):

S V Gaĭdenko

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Uniqueness Of Solutions ◽

Exceptional Sets ◽

Second Order Elliptic Equation

Solvability of the Dirichlet problem for the general second-order elliptic equation

Doklady Mathematics ◽

10.1134/s1064562411010091 ◽

2011 ◽

Vol 83 (1) ◽

pp. 30-33 ◽

Cited By ~ 3

Author(s):

V. Zh. Dumanyan

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

The Dirichlet Problem for a Second Order Elliptic Equation

North-Holland Series in Applied Mathematics and Mechanics - Boundary Value Problems - For Second Order Elliptic Equations ◽

10.1016/b978-0-12-395747-4.50009-9 ◽

1968 ◽

pp. 78-90

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

ON THE BEST HÖLDER EXPONENTS FOR GENERALIZED SOLUTIONS OF THE DIRICHLET PROBLEM FOR A SECOND ORDER ELLIPTIC EQUATION

Mathematics of the USSR-Sbornik ◽

10.1070/sm1988v059n01abeh003127 ◽

1988 ◽

Vol 59 (1) ◽

pp. 113-127 ◽

Cited By ~ 13

Author(s):

V A Kondrat'ev ◽

I Kopachek ◽

O A Oleĭnik

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Generalized Solutions ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation ◽

Hölder Exponents

The Dirichlet problem for a second-order elliptic equation with anLpboundary function

Sbornik Mathematics ◽

10.1070/sm2012v203n01abeh004211 ◽

2012 ◽

Vol 203 (1) ◽

pp. 1-27 ◽

Cited By ~ 17

Author(s):

Anatolii K Gushchin

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

Some properties of the solutions of the Dirichlet problem for a second-order elliptic equation

Sbornik Mathematics ◽

10.1070/sm1998v189n07abeh000337 ◽

1998 ◽

Vol 189 (7) ◽

pp. 1009-1045 ◽

Cited By ~ 10

Author(s):

A K Gushchin

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

On solvability of Dirichlet problem for second order elliptic equation

Journal of Contemporary Mathematical Analysis ◽

10.3103/s1068362311020038 ◽

2011 ◽

Vol 46 (2) ◽

pp. 77-88

Author(s):

V. Zh. Dumanyan

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

Solvability of the Dirichlet problem for an inhomogeneous second-order elliptic equation

Sbornik Mathematics ◽

10.1070/sm2015v206n10abeh004500 ◽

2015 ◽

Vol 206 (10) ◽

pp. 1410-1439 ◽

Cited By ~ 12

Author(s):

A K Gushchin

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation