20.500.12556/RUL-180410 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 Angleški jezik Članek v reviji 2026-03-09 09:52:08 2026-03-09 09:52:12 2026-03-10 04:28:30 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 29DAC0F94C94F5F2715BD500CED411B8 7585356bf449124a8d87bbf141a20f53cbf8ce68229ede0bbbec210e47ffd019 d203d697-1b95-11f1-a1ba-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=229761 https://www.worldscientific.com/doi/epdf/10.1142/S0219530525500290 1 d9c4af73-1b94-11f1-a1ba-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=229760 Fakulteta za matematiko in fiziko Pedagoška fakulteta 0 0 0