Journal
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Volume 69, Issue 5, Pages -Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00033-018-1016-8
Keywords
Fractional Schrodinger-Choquard equations; Variational methods; Ground state solutions; Concentration behavior
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Funding
- National Natural Science Foundation of China [11571370]
- Fundamental Research Funds for the Central Universities of Central South University [2017zzts059]
- Hunan Provincial Innovation Foundation For Postgraduate [CX2017B041]
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In this paper, we first employ variational methods to show the existence of positive ground state solutions for fractional Schrodinger-Choquard equations where potential V (x) is an element of C(R-N) is nonnegative and bounded away from 0 as vertical bar x vertical bar -> infinity, I-alpha is the Riesz potential of order alpha is an element of (0, N) and epsilon > 0 is a parameter small enough. When V (x) is an element of C(R-N) achieves 0 with a homogeneous behavior, we then investigate the concentration behavior of positive ground state solutions as epsilon -> 0(+).
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