A behavior of generalized solutions of the Dirichlet problem for quasilienar elliptic divergence equations of second order near a conical point

Siberian Mathematical Journal ◽

10.1007/bf00970054 ◽

1991 ◽

Vol 31 (6) ◽

pp. 891-904

Author(s):

M. V. Borsuk

Keyword(s):

Dirichlet Problem ◽

Second Order ◽

Conical Point ◽

Generalized Solutions ◽

Elliptic Divergence ◽

Divergence Equations

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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 ◽

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

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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 ◽

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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BEST-POSSIBLE ESTIMATES OF SOLUTIONS OF THE DIRICHLET PROBLEM FOR LINEAR ELLIPTIC NONDIVERGENCE EQUATIONS OF SECOND ORDER IN A NEIGHBORHOOD OF A CONICAL POINT OF THE BOUNDARY

Mathematics of the USSR-Sbornik ◽

10.1070/sm1993v074n01abeh003343 ◽

1993 ◽

Vol 74 (1) ◽

pp. 185-201 ◽

Author(s):

M V Borsuk

Keyword(s):

Dirichlet Problem ◽

Second Order ◽

Conical Point ◽

Estimates Of Solutions

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Dini continuity of the first derivatives of generalized solutions to the Dirichlet problem for linear elliptic second order equations in nonsmooth domains

Annales Polonici Mathematici ◽

10.4064/ap-69-2-129-154 ◽

1998 ◽

Vol 69 (2) ◽

pp. 129-154 ◽

Author(s):

Michail Borsuk

Keyword(s):

Dirichlet Problem ◽

Second Order ◽

Generalized Solutions ◽

Nonsmooth Domains ◽

Derivatives Of ◽

Second Order Equations

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Convergence of difference solutions to generalized solutions of the Dirichlet problem for a second-order elliptic equation

Journal of Soviet Mathematics ◽

10.1007/bf01098326 ◽

1992 ◽

Vol 58 (3) ◽

pp. 208-212

Author(s):

S. A. Voitsekhovskii

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Generalized Solutions ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

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On the solvability of the dirichlet problem for elliptic nondivergent equations of the second order in a domain with conical point

Ukrainian Mathematical Journal ◽

10.1007/bf02390979 ◽

1996 ◽

Vol 48 (1) ◽

pp. 13-26 ◽

Author(s):

M. V. Borsuk

Keyword(s):

Dirichlet Problem ◽

Second Order ◽

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Asymptotic Expansions of Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of Second Order Near a Conical Point

Mathematische Nachrichten ◽

10.1002/mana.19881350120 ◽

1988 ◽

Vol 135 (1) ◽

pp. 239-274 ◽

Author(s):

Erich Miersemann

Keyword(s):

Dirichlet Problem ◽

Asymptotic Expansions ◽

Elliptic Equations ◽

Second Order ◽

Conical Point ◽

Quasilinear Elliptic Equations ◽

Quasilinear Elliptic

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Boundary value problems for quasi-linear elliptic second order equations in unbounded cone-like domains

Open Mathematics ◽

10.2478/s11533-012-0127-2 ◽

2012 ◽

Vol 10 (6) ◽

Author(s):

Mikhail Borsuk ◽

Damian Wiśniewski

Keyword(s):

Boundary Value Problems ◽

Weak Solutions ◽

Boundary Value ◽

Second Order ◽

Second Order Equations ◽

Elliptic Divergence ◽

Divergence Equations

AbstractWe study the behaviour of weak solutions (as well as their gradients) of boundary value problems for quasi-linear elliptic divergence equations in domains extending to infinity along a cone.

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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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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 ◽

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

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