Mixed boundary value problems for non-divergence type elliptic equations in unbounded domains

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Mixed boundary value problems for non-divergence type elliptic equations in unbounded domains. / Cao, Dat; Ibraguimov, Akif; Назаров, Александр Ильич.

в: Asymptotic Analysis, Том 109, № 1-2, 01.01.2018, стр. 75-90.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{fbd90e7850a2475498322e4742f7d127,

title = "Mixed boundary value problems for non-divergence type elliptic equations in unbounded domains",

abstract = "We investigate the qualitative properties of solutions to the Zaremba type problem in unbounded domains for non-divergence elliptic equation with possible degeneration at infinity. The main result is a Phragm{\'e}n-Lindel{\"o}f type principle on growth/decay of a solution at infinity depending on both the structure of the Neumann portion of the boundary and the {"}thickness{"} of its Dirichlet portion. The result is formulated in terms of the so-called s-capacity of the Dirichlet portion of the boundary, while the Neumann boundary should satisfy certain {"}admissibility{"} condition in the sequence of layers converging to infinity.",

keywords = "Non-divergence elliptic equations, Phragm{\'e}n-Lindel{\"o}f theorem, Zaremba type problem, growth lemma, mixed boundary value problems, REGULARITY, LEMMA, Phragmen-Lindelof theorem",

author = "Dat Cao and Akif Ibraguimov and Назаров, {Александр Ильич}",

year = "2018",

month = jan,

day = "1",

doi = "10.3233/ASY-181469",

language = "English",

volume = "109",

pages = "75--90",

journal = "Asymptotic Analysis",

issn = "0921-7134",

publisher = "IOS Press",

number = "1-2",

}

RIS

TY - JOUR

T1 - Mixed boundary value problems for non-divergence type elliptic equations in unbounded domains

AU - Cao, Dat

AU - Ibraguimov, Akif

AU - Назаров, Александр Ильич

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We investigate the qualitative properties of solutions to the Zaremba type problem in unbounded domains for non-divergence elliptic equation with possible degeneration at infinity. The main result is a Phragmén-Lindelöf type principle on growth/decay of a solution at infinity depending on both the structure of the Neumann portion of the boundary and the "thickness" of its Dirichlet portion. The result is formulated in terms of the so-called s-capacity of the Dirichlet portion of the boundary, while the Neumann boundary should satisfy certain "admissibility" condition in the sequence of layers converging to infinity.

AB - We investigate the qualitative properties of solutions to the Zaremba type problem in unbounded domains for non-divergence elliptic equation with possible degeneration at infinity. The main result is a Phragmén-Lindelöf type principle on growth/decay of a solution at infinity depending on both the structure of the Neumann portion of the boundary and the "thickness" of its Dirichlet portion. The result is formulated in terms of the so-called s-capacity of the Dirichlet portion of the boundary, while the Neumann boundary should satisfy certain "admissibility" condition in the sequence of layers converging to infinity.

KW - Non-divergence elliptic equations

KW - Phragmén-Lindelöf theorem

KW - Zaremba type problem

KW - growth lemma

KW - mixed boundary value problems

KW - REGULARITY

KW - LEMMA

KW - Phragmen-Lindelof theorem

UR - http://www.scopus.com/inward/record.url?scp=85053925166&partnerID=8YFLogxK

U2 - 10.3233/ASY-181469

DO - 10.3233/ASY-181469

M3 - Article

VL - 109

SP - 75

EP - 90

JO - Asymptotic Analysis

JF - Asymptotic Analysis

SN - 0921-7134

IS - 1-2

ER -

ID: 35294020