Infinitely many solutions for nonlocal elliptic systems of (p1(x), ⋯, pn(x))‐Kirchhoff type. (4th November 2015)

• Record Type: Journal Article
• Authors: Miao, Qing
• Is Part Of: Mathematical methods in the applied sciences. Volume 39:Number 9(2016:Jun. 15)
• Page Start: 2325
• Page End: 2333
• Publication Date: 2015-11-04
• Subjects: Kirchhoff type -- generalized Lebesgue–Sobolev spaces -- multiplicity -- Ricceri's variational principle; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3642
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : 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 © 2015 John Wiley & Sons, Ltd.