Infinitely many solutions for nonlocal elliptic systems of ( p  1 ( x ),⋯, p   n  ( x ))‐Kirchhoff type | Zendy

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Infinitely many solutions for nonlocal elliptic systems of ( p 1 ( x ),⋯, p n ( x ))‐Kirchhoff type

Author(s) -

Miao Qing

Publication year - 2016

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.3642

Subject(s) - mathematics , sobolev space , type (biology) , exponent , class (philosophy) , mathematical analysis , pure mathematics , variable (mathematics) , elliptic curve , mathematical physics , ecology , artificial intelligence , computer science , biology , linguistics , philosophy

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.

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