arXiv subjects

Sadaf Habibi

Publications and source records attributed to Sadaf Habibi.

2 recordsLinked to original sources

arXiv2021

Applications of $p$-harmonic transplantation for functional inequalities involving a Finsler norm

In this paper, we prove several inequalities such as Sobolev, Poincar\'e, logarithmic Sobolev, which involve a general norm with accurate information of extremals, and are valid for some symmetric functions. We use Ioku's transformation, which is a special case of $p$-harmonic transplantation, between symmetric functions.

math.AP↗

arXiv2021

Asymptotic behavior of least energy solutions to the Finsler Lane-Emden problem with large exponents

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 $N$-Laplacian, on a bounded domain in $\mathbb{R}^N$. We prove several asymptotic formulae as the nonlinear exponent gets large.

math.AP↗