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

Abstract

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.

Keywords

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

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956
COBISS: 18652505 Link will open in a new window
ISSN: 0951-7715
Views: 628
Downloads: 411
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Other data

Type (COBISS): Article
Pages: str. 2481-2495
Volume: ǂVol. ǂ32
Issue: ǂno. ǂ7
Chronology: 2019
DOI: 10.1088/1361-6544/ab0b03
ID: 11193173