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.
2019
2019-07-23 12:55:54
1033
Baouendi-Grushin operator, Caffarelli-Kohn-Nirenberg inequality, transonic flow, nonlinear eigenvalue problem, variable exponent
dk_c
Anouar
Bahrouni
70
Vicenţiu
Rǎdulescu
70
Dušan
Repovš
70
UDK
4
517.956
ISSN pri članku
9
0951-7715
DOI
15
10.1088/1361-6544/ab0b03
COBISS_ID
3
18652505
OceCobissID
13
28749569
RAZ_Bahrouni_Anouar_i2019.pdf
620142
Predstavitvena datoteka
2019-08-28 14:32:37