A global compactness result for a critical nonlinear Choquard equation in R N \(\mathbb{R} ^{N}\)
This article is concerned with the following class of nonlinear Choquard equations: {−Δu+a(x)u=(|x|−μ∗|u|2μ∗)|u|2μ∗−2u+q(x)|u|p−1u,x∈RN,u∈H1(RN), where 2μ∗=2N−μN−2\(2^{*}_{\mu }=\frac{2N-\mu }{N-2}\) is the critical exponent with N≥4\(N\ge 4\) and 0
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| Veröffentlicht in: | Boundary value problems 2019-06, Vol.2019 (1), p.1-16 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | This article is concerned with the following class of nonlinear Choquard equations: {−Δu+a(x)u=(|x|−μ∗|u|2μ∗)|u|2μ∗−2u+q(x)|u|p−1u,x∈RN,u∈H1(RN), where 2μ∗=2N−μN−2\(2^{*}_{\mu }=\frac{2N-\mu }{N-2}\) is the critical exponent with N≥4\(N\ge 4\) and 0 |
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| ISSN: | 1687-2762 1687-2770 |
| DOI: | 10.1186/s13661-019-1223-z |