4.6 Article

Infinitely many solutions for nonlocal elliptic systems of (p1(x), ..., pn(x))-Kirchhoff type

Journal

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 39, Issue 9, Pages 2325-2333

Publisher

WILEY
DOI: 10.1002/mma.3642

Keywords

Kirchhoff type; generalized Lebesgue-Sobolev spaces; multiplicity; Ricceri's variational principle

Funding

  1. National Natural Science Foundation of China [11461083, 11361076]
  2. Applied Basic Research Projects of Yunnan Province [2013FD031]

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In this paper, we obtain the existence of infinitely solutions for a class of nonlocal elliptic systems of (p(1)(x), ..., p(n)(x))-Kirchhoff type. Our main results are new. Our approach are based on general variational principle because of B. Ricceri and the theory of the variable exponent Sobolev spaces. Copyright (C) 2015 John Wiley & Sons, Ltd.

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