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

Xing Zhang; Xia Zhang; Yongqiang Fu

Annales Polonici Mathematici (2010)

  • Volume: 98, Issue: 1, page 91-102
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Xing Zhang, Xia Zhang, and Yongqiang Fu. "Multiple solutions for a class of p(x)-Laplacian equations involving the critical exponent." Annales Polonici Mathematici 98.1 (2010): 91-102. <http://eudml.org/doc/280778>.

@article{XingZhang2010,
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.},
author = {Xing Zhang, Xia Zhang, Yongqiang Fu},
journal = {Annales Polonici Mathematici},
keywords = {-Laplacian equation; variable exponent Sobolev space; multiple solution},
language = {eng},
number = {1},
pages = {91-102},
title = {Multiple solutions for a class of p(x)-Laplacian equations involving the critical exponent},
url = {http://eudml.org/doc/280778},
volume = {98},
year = {2010},
}

TY - JOUR
AU - Xing Zhang
AU - Xia Zhang
AU - Yongqiang Fu
TI - Multiple solutions for a class of p(x)-Laplacian equations involving the critical exponent
JO - Annales Polonici Mathematici
PY - 2010
VL - 98
IS - 1
SP - 91
EP - 102
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.
LA - eng
KW - -Laplacian equation; variable exponent Sobolev space; multiple solution
UR - http://eudml.org/doc/280778
ER -

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