Behavior of the generalized solutions of the Dirichlet problem for higher-order elliptic equations in the neighborhood of the boundary

V. A. Kondrat'ev; O. A. Oleinik

doi:10.1007/bf02112334

Behavior of the generalized solutions of the Dirichlet problem for higher-order elliptic equations in the neighborhood of the boundary

Journal of Soviet Mathematics ◽

10.1007/bf02112334 ◽

1985 ◽

Vol 28 (5) ◽

pp. 696-704 ◽

Cited By ~ 1

Author(s):

V. A. Kondrat'ev ◽

O. A. Oleinik

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Higher Order ◽

Generalized Solutions

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Radiation conditions and the exterior Dirichlet problem for a class of higher order elliptic equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(76)90198-0 ◽

1976 ◽

Vol 54 (3) ◽

pp. 820-839

Author(s):

Karl J Witsch

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Higher Order ◽

Radiation Conditions

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Multiple layer potentials and the dirichlet problem for higher order elliptic equations in the plane I

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160100202 ◽

1957 ◽

Vol 10 (2) ◽

pp. 179-239 ◽

Cited By ~ 40

Author(s):

Shmuel Agmon

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Higher Order ◽

Layer Potentials ◽

Multiple Layer

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Behavior of solutions of the Dirichlet problem for quasilinear divergent higher-order elliptic equations in unbounded domains

Siberian Mathematical Journal ◽

10.1007/bf00969476 ◽

1988 ◽

Vol 28 (6) ◽

pp. 972-982 ◽

Cited By ~ 2

Author(s):

A. E. Shishkov

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Unbounded Domains ◽

Higher Order

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Estimates of generalized solutions of the Dirichlet problem for quasilinear elliptic equations of the second order in a domain with conical boundary point

Ukrainian Mathematical Journal ◽

10.1007/bf02513489 ◽

1998 ◽

Vol 50 (10) ◽

pp. 1483-1495 ◽

Cited By ~ 1

Author(s):

M. V. Borsuk ◽

M. I. Plesha

Keyword(s):

Dirichlet Problem ◽

Boundary Point ◽

Elliptic Equations ◽

Second Order ◽

Generalized Solutions ◽

Quasilinear Elliptic Equations ◽

Quasilinear Elliptic

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A CAPACITY CRITERION FOR A DOMAIN WITH STABLE DIRICHLET PROBLEM FOR HIGHER ORDER ELLIPTIC EQUATIONS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1976v029n02abeh003661 ◽

1976 ◽

Vol 29 (2) ◽

pp. 177-185 ◽

Cited By ~ 1

Author(s):

È M Saak

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Higher Order

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On the existence of bounded generalized solutions of the Dirichlet problem for a class of nonlinear high-order elliptic equations

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2550-y ◽

2015 ◽

Vol 210 (1) ◽

pp. 86-113 ◽

Cited By ~ 2

Author(s):

Mikhail V. Voitovich

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

High Order ◽

Generalized Solutions ◽

Nonlinear High Order

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An estimate of the maximum of the modulus of generalized solutions of the Dirichlet problem for elliptic equations of divergent form

Ukrainian Mathematical Journal ◽

10.1007/bf01059047 ◽

1995 ◽

Vol 47 (5) ◽

pp. 733-748 ◽

Cited By ~ 2

Author(s):

I. M. Kolodii

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Generalized Solutions ◽

Divergent Form

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36 Girding's Inequality. Dirichlet Problem for Higher Order Elliptic Equations

Basic Linear Partial Differential Equations - Pure and Applied Mathematics ◽

10.1016/s0079-8169(08)61539-1 ◽

1975 ◽

pp. 347-353

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Higher Order

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Uniqueness results for the Dirichlet problem for higher order elliptic equations in polyhedral angles

Boundary Value Problems ◽

10.1186/s13661-014-0232-1 ◽

2014 ◽

Vol 2014 (1) ◽

Cited By ~ 1

Author(s):

Sara Monsurrò ◽

Ilia Tavkhelidze ◽

Maria Transirico

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Higher Order ◽

Uniqueness Results

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A REGULARITY CONDITION FOR GENERALIZED SOLUTIONS OF HIGHER-ORDER QUASILINEAR ELLIPTIC EQUATIONS

Mathematics of the USSR-Izvestiya ◽

10.1070/im1973v007n06abeh002090 ◽

1973 ◽

Vol 7 (6) ◽

pp. 1371-1421 ◽

Cited By ~ 1

Author(s):

I V Skrypnik

Keyword(s):

Elliptic Equations ◽

Regularity Condition ◽

Higher Order ◽

Generalized Solutions ◽

Quasilinear Elliptic Equations ◽

Quasilinear Elliptic

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