Double phase transonic flow problems with variable growth: nonlinear patterns and stationary wavesBahrouni, Anouar (Avtor) Rǎdulescu, Vicenţiu (Avtor) Repovš, Dušan (Avtor) Baouendi-Grushin operatorCaffarelli-Kohn-Nirenberg inequalitytransonic flownonlinear eigenvalue problemvariable exponentIn 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.20192019-07-23 12:55:54Članek v reviji108780UDK: 517.956ISSN pri članku: 0951-7715DOI: 10.1088/1361-6544/ab0b03COBISS_ID: 18652505OceCobissID: 28749569sl