Existence of three solutions for a Navier boundary value problem involving the p(x)-biharmonic operator

Honghui Yin; Mei Xu

Existence of three solutions for a Navier boundary value problem involving the p(x)-biharmonic operator

Honghui Yin; Mei Xu

Annales Polonici Mathematici (2013)

Volume: 109, Issue: 1, page 47-58
ISSN: 0066-2216

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The existence of at least three weak solutions is established for a class of quasilinear elliptic equations involving the p(x)-biharmonic operator with Navier boundary value conditions. The proof is mainly based on a three critical points theorem due to B. Ricceri [Nonlinear Anal. 70 (2009), 3084-3089].

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Honghui Yin, and Mei Xu. "Existence of three solutions for a Navier boundary value problem involving the p(x)-biharmonic operator." Annales Polonici Mathematici 109.1 (2013): 47-58. <http://eudml.org/doc/286661>.

@article{HonghuiYin2013,
abstract = {The existence of at least three weak solutions is established for a class of quasilinear elliptic equations involving the p(x)-biharmonic operator with Navier boundary value conditions. The proof is mainly based on a three critical points theorem due to B. Ricceri [Nonlinear Anal. 70 (2009), 3084-3089].},
author = {Honghui Yin, Mei Xu},
journal = {Annales Polonici Mathematici},
keywords = {-biharmonic; three solutions; existence},
language = {eng},
number = {1},
pages = {47-58},
title = {Existence of three solutions for a Navier boundary value problem involving the p(x)-biharmonic operator},
url = {http://eudml.org/doc/286661},
volume = {109},
year = {2013},
}

TY - JOUR
AU - Honghui Yin
AU - Mei Xu
TI - Existence of three solutions for a Navier boundary value problem involving the p(x)-biharmonic operator
JO - Annales Polonici Mathematici
PY - 2013
VL - 109
IS - 1
SP - 47
EP - 58
AB - The existence of at least three weak solutions is established for a class of quasilinear elliptic equations involving the p(x)-biharmonic operator with Navier boundary value conditions. The proof is mainly based on a three critical points theorem due to B. Ricceri [Nonlinear Anal. 70 (2009), 3084-3089].
LA - eng
KW - -biharmonic; three solutions; existence
UR - http://eudml.org/doc/286661
ER -

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