Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves

Bahrouni, Anouar (avtor), Rǎdulescu, Vicenţiu (avtor), Repovš, Dušan (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: Baouendi-Grushin operator, Caffarelli-Kohn-Nirenberg inequality, transonic flow, nonlinear eigenvalue problem, variable exponent
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2019
• Št. strani: Str. 2481-2495
• Številčenje: Vol. 32, no. 7
• PID: 20.500.12556/RUL-108780
• UDK: 517.956
• ISSN pri članku: 0951-7715
• DOI: 10.1088/1361-6544/ab0b03
• COBISS.SI-ID: 18652505
• Datum objave v RUL: 23.07.2019

Gradivo je del revije

• Naslov: Nonlinearity
• Skrajšan naslov: Nonlinearity
• Založnik: IOP Pub.
• ISSN: 0951-7715
• COBISS.SI-ID: 28749569