Criteria for [IMG align=ABSMIDDLE alt=$ C^1$]tex_im_3058_img1[/IMG]-approximability of functions by solutions of homogeneous elliptic equations of second order on compact sets in [IMG align=ABSMIDDLE alt=$ R^N$]tex_im_3058_img2[/IMG], [IMG align=ABSMIDDLE alt=$ N geq 3$]tex_im_3058_img3[/IMG]

Petr Vladimirovich Paramonov

doi:10.1070/im9036

Criteria for [IMG align=ABSMIDDLE alt=$ C^1$]tex_im_3058_img1[/IMG]-approximability of functions by solutions of homogeneous elliptic equations of second order on compact sets in [IMG align=ABSMIDDLE alt=$ R^N$]tex_im_3058_img2[/IMG], [IMG align=ABSMIDDLE alt=$ N geq 3$]tex_im_3058_img3[/IMG]

Izvestiya Mathematics ◽

10.1070/im9036 ◽

2021 ◽

Vol 85 (3) ◽

Author(s):

Petr Vladimirovich Paramonov

Keyword(s):

Elliptic Equations ◽

Second Order ◽

Compact Sets

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Uniform approximations of functions by solutions of strongly elliptic equations of second order on compact sets in [IMG align=ABSMIDDLE alt=$ \mathbb R^2$]tex_sm_4981_img1[/IMG]

Sbornik Mathematics ◽

10.1070/sm9503 ◽

2021 ◽

Vol 212 (12) ◽

Author(s):

Petr Vladimirovich Paramonov

Keyword(s):

Elliptic Equations ◽

Second Order ◽

Compact Sets ◽

Uniform Approximations

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Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact sets in [IMG align=ABSMIDDLE alt=$ R^2$]tex_im_3055_img1[/IMG]

Izvestiya Mathematics ◽

10.1070/im9027 ◽

2021 ◽

Vol 85 (3) ◽

Author(s):

Maksim Yakovlevich Mazalov

Keyword(s):

Uniform Approximation ◽

Elliptic Equations ◽

Second Order ◽

Compact Sets ◽

Approximation Of Functions

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On $$C^1$$ C 1 -approximability of functions by solutions of second order elliptic equations on plane compact sets and C-analytic capacity

Analysis and Mathematical Physics ◽

10.1007/s13324-018-0275-z ◽

2018 ◽

Vol 9 (3) ◽

pp. 1133-1161

Author(s):

P. V. Paramonov ◽

X. Tolsa

Keyword(s):

Elliptic Equations ◽

Second Order ◽

Analytic Capacity ◽

Compact Sets ◽

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 ◽

Cited By ~ 1

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 non-local reflection for elliptic equations of the second order in $\mathbb{R}^{2}$ (the Dirichlet condition)

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2012-05462-6 ◽

2012 ◽

Vol 364 (5) ◽

pp. 2443-2460 ◽

Cited By ~ 9

Author(s):

Tatiana Savina

Keyword(s):

Elliptic Equations ◽

Dirichlet Condition ◽

Second Order ◽

Non Local

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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 ◽

Cited By ~ 6

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 Second-Order Quasi-Linear Nonuniformly Elliptic Equations

Investigations in Linear Operators and Function Theory ◽

10.1007/978-1-4757-1526-2_3 ◽

1972 ◽

pp. 43-52 ◽

Cited By ~ 1

Author(s):

A. V. Ivanov

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order

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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 ◽

Cited By ~ 3

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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