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

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

Povzetek

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.

Ključne besede

Baouendi-Grushin operator;Caffarelli-Kohn-Nirenberg inequality;transonic flow;nonlinear eigenvalue problem;variable exponent;

Podatki

Jezik:	Angleški jezik
Leto izida:	2019
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	517.956
COBISS:	18652505
ISSN:	0951-7715
Št. ogledov:	628
Št. prenosov:	411
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 2481-2495
Letnik:	ǂVol. ǂ32
Zvezek:	ǂno. ǂ7
Čas izdaje:	2019
DOI:	10.1088/1361-6544/ab0b03
ID:	11193173