期刊
出版社
SPRINGER-VERLAG ITALIA SRL
DOI: 10.1007/s13398-020-00953-w
关键词
Fractional Schrodinger-Poisson; Critical exponent; Nontrivial solution
资金
- National Natural Science Foundation of China [11671239, 12071266]
- Natural Science Foundation of Shanxi Province [201801D211001, 201801D121002, 201801D221012]
- Shanxi Scholarship Council of China [2020-005]
This paper deals with a class of nonlocal Schrodinger equations with critical exponent {(-Delta)(s)u + V(x)u - K(x)phi vertical bar u vertical bar(2s)*(-3) u = f(x, u), in R-3, (-Delta)(s)phi = K(x)vertical bar u vertical bar(2s)*(-1), in R-3. By employing the mountain pass theorem, concentration-compactness principle and approximation method, the existence of nontrivial solution is obtained under appropriate assumptions on V, K and f.
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