Elliptic equations with nonzero boundary conditions in weighted Sobolev spaces

Doyoon Kim

doi:10.1016/j.jmaa.2007.04.048

Elliptic equations with nonzero boundary conditions in weighted Sobolev spaces

Doyoon Kim^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

We present weighted Sobolev spaces over(H, ̃)_{p, θ}^γ (Ω) along with a trace theorem and an interpolation theorem for the spaces. Then we solve nonzero boundary value problems for elliptic equations in over(H, ̃)_{p, θ}^γ (Ω).

Original language	English
Pages (from-to)	1465-1479
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	337
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2007.04.048
Publication status	Published - 2008 Jan 15
Externally published	Yes

Keywords

Elliptic equations
Nonzero boundary conditions
Traces
Weighted Sobolev spaces

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2007.04.048

Cite this

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title = "Elliptic equations with nonzero boundary conditions in weighted Sobolev spaces",

abstract = "We present weighted Sobolev spaces over(H,{\~ })p, θγ (Ω) along with a trace theorem and an interpolation theorem for the spaces. Then we solve nonzero boundary value problems for elliptic equations in over(H,{\~ })p, θγ (Ω).",

keywords = "Elliptic equations, Nonzero boundary conditions, Traces, Weighted Sobolev spaces",

author = "Doyoon Kim",

year = "2008",

month = jan,

day = "15",

doi = "10.1016/j.jmaa.2007.04.048",

language = "English",

volume = "337",

pages = "1465--1479",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

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T1 - Elliptic equations with nonzero boundary conditions in weighted Sobolev spaces

AU - Kim, Doyoon

PY - 2008/1/15

Y1 - 2008/1/15

N2 - We present weighted Sobolev spaces over(H, ̃)p, θγ (Ω) along with a trace theorem and an interpolation theorem for the spaces. Then we solve nonzero boundary value problems for elliptic equations in over(H, ̃)p, θγ (Ω).

AB - We present weighted Sobolev spaces over(H, ̃)p, θγ (Ω) along with a trace theorem and an interpolation theorem for the spaces. Then we solve nonzero boundary value problems for elliptic equations in over(H, ̃)p, θγ (Ω).

KW - Elliptic equations

KW - Nonzero boundary conditions

KW - Traces

KW - Weighted Sobolev spaces

UR - https://www.scopus.com/pages/publications/34548651074

U2 - 10.1016/j.jmaa.2007.04.048

DO - 10.1016/j.jmaa.2007.04.048

M3 - Article

AN - SCOPUS:34548651074

SN - 0022-247X

VL - 337

SP - 1465

EP - 1479

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Elliptic equations with nonzero boundary conditions in weighted Sobolev spaces

Abstract

Keywords

ASJC Scopus subject areas

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