2 papers
math.AP2021
Applications of -harmonic transplantation for functional inequalities involving a Finsler norm
Sadaf Habibi, Futoshi Takahashi
In this paper, we prove several inequalities such as Sobolev, Poincaré, logarithmic Sobolev, which involve a general norm with accurate information of extremals, and are valid for…
math.AP2021
Asymptotic behavior of least energy solutions to the Finsler Lane-Emden problem with large exponents
Sadaf Habibi, Futoshi Takahashi
In this paper we are concerned with the least energy solutions to the Lane-Emden problem driven by an anisotropic operator, so-called the Finsler -Laplacian, on a bounded domain…