20.500.12556/RUL-108780 Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves In this paper we are concerned with a class of double phase energy functionals arising in the theory of transonic flows. Their main feature is that the associated Euler equation is driven by the Baouendi-Grushin operator with variable coefficient. This partial differential equation is of mixed type and possesses both elliptic and hyperbolic regions. After establishing a weighted inequality for the Baouendi-Grushin operator and a related compactness property, we establish the existence of stationary waves under arbitrary perturbations of the reaction. Baouendi-Grushin operator Caffarelli-Kohn-Nirenberg inequality transonic flow nonlinear eigenvalue problem variable exponent true false true Angleški jezik Ni določen Članek v reviji 2019-07-23 12:55:54 2019-07-23 12:55:57 2022-08-20 03:48:30 0000-00-00 00:00:00 2019 0 0 Str. 2481-2495 no. 7 Vol. 32 2019 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956 0951-7715 10.1088/1361-6544/ab0b03 18652505 28749569 RAZ_Bahrouni_Anouar_i2019.pdf RAZ_Bahrouni_Anouar_i2019.pdf 1 8F2334B6DED0B27B189862B241A6EAEC dc1db6ddf07434f2b82b4835bb067fb81fecb73b15ac111e44e1b70dc1f3ff31 d0115e68-a1b6-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=120762 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0