20.500.12556/DiRROS-28044 Concentrating solutions of the fractional $(p,q)$-Choquard equation with exponential growth 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. fractional double phase operator critical exponential growth mountain pass theorem Trudinger–Moser inequality variational method true false true Angleški jezik Ni določen Neznano 2026-03-09 09:53:40 2026-03-09 09:53:40 2026-03-10 03:52:26 0000-00-00 00:00:00 2026 0 0 str. 665-704 iss. 3 Vol. 24 2026 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 2026-01-01 517.9 0219-5305 10.1142/S0219530525500290 237989123 Concentrating.pdf Concentrating.pdf 1 4772BB1F2D625A20A59555D61184431F a00e8aa29f548ec70068ed76a28fc602e736cdebb7c49e10621630d481548d5a 46657088-1b96-11f1-b779-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=41400 https://www.worldscientific.com/doi/epdf/10.1142/S0219530525500290 1 7a2cf5ac-1b95-11f1-b779-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=41399 Inštitut za matematiko, fiziko in mehaniko 0 0 0