Ground State Solutions to a Critical Nonlocal Integrodifferential System

Min Liu, Zhijing Wang and Zhenyu Guo

Advances in Mathematical Physics, 2018, vol. 2018, 1-8

Abstract:

Consider the following nonlocal integrodifferential system: , where is a general nonlocal integrodifferential operator, , is a fractional Sobolev critical exponent, , , is a lower order perturbation of the critical coupling term, and is an open bounded domain in with Lipschitz boundary. Under proper conditions, we establish an existence result of the ground state solution to the nonlocal integrodifferential system.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4312083

DOI: 10.1155/2018/4312083

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