Global bifurcation for a class of degenerate elliptic equations with variable exponents

Yun Ho Kim; Lihe Wang; Chao Zhang

doi:10.1016/j.jmaa.2010.05.058

Global bifurcation for a class of degenerate elliptic equations with variable exponents

Yun Ho Kim^*
, Lihe Wang
, Chao Zhang

^*Corresponding author for this work

University of Iowa
Peking University

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

69 Scopus citations

Abstract

We are concerned with the following nonlinear problem. subject to Dirichlet boundary conditions, provided that μ is not an eigenvalue of the above divergence form. The purpose of this paper is to study the global behavior of the set of solutions for the above equation, by applying a bifurcation result for nonlinear operator equations.

Original language	English
Pages (from-to)	624-637
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	371
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2010.05.058
State	Published - Nov 2010
Externally published	Yes

Keywords

Bifurcation
P(x)-Laplacian
Weighted variable exponent Lebesgue-Sobolev spaces

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10.1016/j.jmaa.2010.05.058

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@article{17685b281bea4510ba6c5c126a03008c,

title = "Global bifurcation for a class of degenerate elliptic equations with variable exponents",

abstract = "We are concerned with the following nonlinear problem. subject to Dirichlet boundary conditions, provided that μ is not an eigenvalue of the above divergence form. The purpose of this paper is to study the global behavior of the set of solutions for the above equation, by applying a bifurcation result for nonlinear operator equations.",

keywords = "Bifurcation, P(x)-Laplacian, Weighted variable exponent Lebesgue-Sobolev spaces",

author = "Kim, \{Yun Ho\} and Lihe Wang and Chao Zhang",

year = "2010",

month = nov,

doi = "10.1016/j.jmaa.2010.05.058",

language = "英语",

volume = "371",

pages = "624--637",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

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}

TY - JOUR

T1 - Global bifurcation for a class of degenerate elliptic equations with variable exponents

AU - Kim, Yun Ho

AU - Wang, Lihe

AU - Zhang, Chao

PY - 2010/11

Y1 - 2010/11

N2 - We are concerned with the following nonlinear problem. subject to Dirichlet boundary conditions, provided that μ is not an eigenvalue of the above divergence form. The purpose of this paper is to study the global behavior of the set of solutions for the above equation, by applying a bifurcation result for nonlinear operator equations.

AB - We are concerned with the following nonlinear problem. subject to Dirichlet boundary conditions, provided that μ is not an eigenvalue of the above divergence form. The purpose of this paper is to study the global behavior of the set of solutions for the above equation, by applying a bifurcation result for nonlinear operator equations.

KW - Bifurcation

KW - P(x)-Laplacian

KW - Weighted variable exponent Lebesgue-Sobolev spaces

UR - https://www.scopus.com/pages/publications/77955282039

U2 - 10.1016/j.jmaa.2010.05.058

DO - 10.1016/j.jmaa.2010.05.058

M3 - 文章

AN - SCOPUS:77955282039

SN - 0022-247X

VL - 371

SP - 624

EP - 637

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Global bifurcation for a class of degenerate elliptic equations with variable exponents

Abstract

Keywords

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