This article concerns the Kirchhoff type problem
where a,b are positive constants, 2< p < 5, is a small parameter, and . Under certain assumptions on the non-constant potentials V(x) and K(x), we prove the existence and concentration properties of a positive ground state solution as . Our main tool is a Nehari-Pohozaev manifold.
Submitted July 6, 2015. Published January 4, 2016.
Math Subject Classifications: 35A15, 35B33, 35J62.
Key Words: Nehari-Pohozaev manifold; nonlocal problem; positive solution; concentration property.
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| Haining Fan |
School of Sciences
China University of Mining and Technology
Xuzhou 221116, China
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