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• W3100656298 abstract "In present paper, we study the fractional Choquard equation $$varepsilon^{2s}(-Delta)^s u+V(x)u=varepsilon^{mu-N}(frac{1}{|x|^mu}ast F(u))f(u)+|u|^{2^ast_s-2}u$$ where $varepsilon>0$ is a parameter, $sin(0,1),$ $N>2s,$ $2^*_s=frac{2N}{N-2s}$ and $0<mu<min{2s,N-2s}$. Under suitable assumption on $V$ and $f$, we prove this problem has a nontrivial nonnegative ground state solution. Moreover, we relate the number of nontrivial nonnegative solutions with the topology of the set where the potential attains its minimum values and their's concentration behavior." @default.
• W3100656298 created "2020-11-23" @default.
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• W3100656298 date "2019-12-10" @default.
• W3100656298 modified "2023-10-10" @default.
• W3100656298 title "Multiplicity and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent" @default.
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• W3100656298 doi "https://doi.org/10.1007/s13398-019-00768-4" @default.
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