| Naslov: | Concentrating solutions of the fractional $(p,q)$-Choquard equation with exponential growth |
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| Avtorji: | ID Song, Yueqiang (Avtor)
ID Sun, Xueqi (Avtor)
ID Repovš, Dušan (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (500,70 KB)
MD5: 4772BB1F2D625A20A59555D61184431F
 URL - Izvorni URL, za dostop obiščite https://www.worldscientific.com/doi/epdf/10.1142/S0219530525500290
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | This paper deals with the following fractional $(p,q)$-Choquard equation with exponential growth of the form: $\varepsilon^{p s} (-\Delta)^{s}_{p} u + \varepsilon^{q s} (-\Delta)^{s}_{q} u + Z(x) ( |u|^{p-2} u + |u|^{q-2} u)$ $=\varepsilon^{\mu - N} [ |x|^{-\mu} * F(u) ] f(u)$ in $\mathbb{R}^N,$ where $s \in (0,1)$, $\varepsilon > 0$ is a parameter, $2 \leq p = \frac{N}{s} < q$, and $0 < \mu < N$. The nonlinear function $f$ has exponential growth at infinity, and the continuous potential function $Z$ satisfies suitable natural conditions. Using Ljusternik–Schnirelmann category theory and variational methods, the multiplicity and concentration of positive solutions are obtained for $\varepsilon > 0$ small enough. In a certain sense, we generalize some previously known results. |
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| Ključne besede: | fractional double phase operator, critical exponential growth, mountain pass theorem, Trudinger–Moser inequality, variational method |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Recenzirani rokopis |
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| Datum objave: | 01.01.2026 |
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| Leto izida: | 2026 |
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| Št. strani: | str. 665-704 |
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| Številčenje: | Vol. 24, iss. 3 |
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| PID: | 20.500.12556/DiRROS-28044  |
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| UDK: | 517.9 |
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| ISSN pri članku: | 0219-5305 |
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| DOI: | 10.1142/S0219530525500290 |
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| COBISS.SI-ID: | 237989123 |
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| Opomba: |
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| Datum objave v DiRROS: | 09.03.2026 |
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| Število ogledov: | 171 |
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| Število prenosov: | 111 |
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| Metapodatki: |    |
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