Solutions for nonlinear elliptic equations with variable growth and degenerate coercivity

Xia Zhang; Yongqiang Fu

doi:10.1007/s10231-012-0270-1

Solutions for nonlinear elliptic equations with variable growth and degenerate coercivity

Xia Zhang^*
, Yongqiang Fu

^*Corresponding author for this work

School of Mathematics

Pohang University of Science and Technology

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

19 Scopus citations

Abstract

In this paper, based on the theory of variable exponent Sobolev space, we study a class of nonlinear elliptic equations with principal part having degenerate coercivity and obtain some existence and regularity results for the solutions.

Original language	English
Pages (from-to)	133-161
Number of pages	29
Journal	Annali di Matematica Pura ed Applicata
Volume	193
Issue number	1
DOIs	https://doi.org/10.1007/s10231-012-0270-1
State	Published - 1 Feb 2014

Keywords

Degenerate coercivity
Nonlinear elliptic equation
Variable exponent Sobolev space

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10.1007/s10231-012-0270-1

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title = "Solutions for nonlinear elliptic equations with variable growth and degenerate coercivity",

abstract = "In this paper, based on the theory of variable exponent Sobolev space, we study a class of nonlinear elliptic equations with principal part having degenerate coercivity and obtain some existence and regularity results for the solutions.",

keywords = "Degenerate coercivity, Nonlinear elliptic equation, Variable exponent Sobolev space",

author = "Xia Zhang and Yongqiang Fu",

note = "Publisher Copyright: {\textcopyright} 2012, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag.",

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doi = "10.1007/s10231-012-0270-1",

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T1 - Solutions for nonlinear elliptic equations with variable growth and degenerate coercivity

AU - Zhang, Xia

AU - Fu, Yongqiang

PY - 2014/2/1

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N2 - In this paper, based on the theory of variable exponent Sobolev space, we study a class of nonlinear elliptic equations with principal part having degenerate coercivity and obtain some existence and regularity results for the solutions.

AB - In this paper, based on the theory of variable exponent Sobolev space, we study a class of nonlinear elliptic equations with principal part having degenerate coercivity and obtain some existence and regularity results for the solutions.

KW - Degenerate coercivity

KW - Nonlinear elliptic equation

KW - Variable exponent Sobolev space

UR - https://www.scopus.com/pages/publications/84899981421

U2 - 10.1007/s10231-012-0270-1

DO - 10.1007/s10231-012-0270-1

M3 - 文章

AN - SCOPUS:84899981421

SN - 0373-3114

VL - 193

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EP - 161

JO - Annali di Matematica Pura ed Applicata

JF - Annali di Matematica Pura ed Applicata

IS - 1

ER -

Solutions for nonlinear elliptic equations with variable growth and degenerate coercivity

Abstract

Keywords

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