Multiple solutions for a class of p(x)-Laplacian equations involving the critical exponent

Xing Zhang; Xia Zhang; Yongqiang Fu

doi:10.4064/ap98-1-6

Multiple solutions for a class of p(x)-Laplacian equations involving the critical exponent

Xing Zhang^*
, Xia Zhang^*
, Yongqiang Fu

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

3 Scopus citations

Abstract

We study the multiplicity of solutions for a class of p(x)-Laplacian equations involving the critical exponent. Under suitable assumptions, we obtain a sequence of radially symmetric solutions associated with a sequence of positive energies going toward infinity.

Original language	English
Pages (from-to)	91-102
Number of pages	12
Journal	Annales Polonici Mathematici
Volume	98
Issue number	1
DOIs	https://doi.org/10.4064/ap98-1-6
State	Published - 2010

Keywords

Multiple solution
Variable exponent Sobolev space
p(x)-Laplacian equation

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title = "Multiple solutions for a class of p(x)-Laplacian equations involving the critical exponent",

abstract = "We study the multiplicity of solutions for a class of p(x)-Laplacian equations involving the critical exponent. Under suitable assumptions, we obtain a sequence of radially symmetric solutions associated with a sequence of positive energies going toward infinity.",

keywords = "Multiple solution, Variable exponent Sobolev space, p(x)-Laplacian equation",

author = "Xing Zhang and Xia Zhang and Yongqiang Fu",

year = "2010",

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language = "英语",

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journal = "Annales Polonici Mathematici",

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AU - Zhang, Xing

AU - Zhang, Xia

AU - Fu, Yongqiang

PY - 2010

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N2 - We study the multiplicity of solutions for a class of p(x)-Laplacian equations involving the critical exponent. Under suitable assumptions, we obtain a sequence of radially symmetric solutions associated with a sequence of positive energies going toward infinity.

AB - We study the multiplicity of solutions for a class of p(x)-Laplacian equations involving the critical exponent. Under suitable assumptions, we obtain a sequence of radially symmetric solutions associated with a sequence of positive energies going toward infinity.

KW - Multiple solution

KW - Variable exponent Sobolev space

KW - p(x)-Laplacian equation

UR - https://www.scopus.com/pages/publications/83655203332

U2 - 10.4064/ap98-1-6

DO - 10.4064/ap98-1-6

M3 - 文章

AN - SCOPUS:83655203332

SN - 0066-2216

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EP - 102

JO - Annales Polonici Mathematici

JF - Annales Polonici Mathematici

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Multiple solutions for a class of p(x)-Laplacian equations involving the critical exponent

Abstract

Keywords

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