Infinitely many solutions for the p(x)-Laplacian equations without (AR)-type growth condition

Chao Ji; Fei Fang

Annales Polonici Mathematici (2012)

  • Volume: 105, Issue: 1, page 87-99
  • ISSN: 0066-2216

Abstract

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Under no Ambrosetti-Rabinowitz-type growth condition, we study the existence of infinitely many solutions of the p(x)-Laplacian equations by applying the variant fountain theorems due to Zou [Manuscripta Math. 104 (2001), 343-358].

How to cite

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Chao Ji, and Fei Fang. "Infinitely many solutions for the p(x)-Laplacian equations without (AR)-type growth condition." Annales Polonici Mathematici 105.1 (2012): 87-99. <http://eudml.org/doc/280996>.

@article{ChaoJi2012,
abstract = {Under no Ambrosetti-Rabinowitz-type growth condition, we study the existence of infinitely many solutions of the p(x)-Laplacian equations by applying the variant fountain theorems due to Zou [Manuscripta Math. 104 (2001), 343-358].},
author = {Chao Ji, Fei Fang},
journal = {Annales Polonici Mathematici},
keywords = {superlinear problem; -Laplacian; Fountain theorem; concave and convex nonlinearities; variable exponent spaces},
language = {eng},
number = {1},
pages = {87-99},
title = {Infinitely many solutions for the p(x)-Laplacian equations without (AR)-type growth condition},
url = {http://eudml.org/doc/280996},
volume = {105},
year = {2012},
}

TY - JOUR
AU - Chao Ji
AU - Fei Fang
TI - Infinitely many solutions for the p(x)-Laplacian equations without (AR)-type growth condition
JO - Annales Polonici Mathematici
PY - 2012
VL - 105
IS - 1
SP - 87
EP - 99
AB - Under no Ambrosetti-Rabinowitz-type growth condition, we study the existence of infinitely many solutions of the p(x)-Laplacian equations by applying the variant fountain theorems due to Zou [Manuscripta Math. 104 (2001), 343-358].
LA - eng
KW - superlinear problem; -Laplacian; Fountain theorem; concave and convex nonlinearities; variable exponent spaces
UR - http://eudml.org/doc/280996
ER -

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