Abstract We extend Cordero-Erausquin et al.'s Riemannian Borell–Brascamp–Lieb
inequality to Finsler manifolds. Among applications, we establish the equivalence between …

In this paper, we study a class of singular double phase problems defined on Minkowski
spaces in terms of Finsler manifolds and with right-hand sides that allow a certain type of …

This paper studies the heat flow on Finsler manifolds. A Finsler manifold is a smooth
manifold M equipped with a Minkowski norm F (x,·): TxM→ ℝ+ on each tangent space …

The main aim of this book is to present recent developments of comparison geometry and
geometric analysis on Finsler manifolds in an accessible way to students and researchers …

This is a survey article on recent progress of comparison geometry and geometric analysis
on Finsler manifolds of weighted Ricci curvature bounded below. Our purpose is twofold …

In this paper, we study strong convergence of some proximal-type algorithms to a solution of
split minimization problem in complete p-uniformly convex metric spaces. We also analyse …

In this paper, we investigate the singularities of potential energy functionals\(\phi (\cdot)\)
associated with semiconcave functions\(\phi\) in the Borel probability measure space and …

We study contractivity properties of gradient flows for functions on normed spaces or, more
generally, on Finsler manifolds. Contractivity of the flows turns out to be equivalent to a new …

We prove that a Finsler spacetime endowed with a smooth reference measure whose
induced weighted Ricci curvature $\mathrm {Ric} _N $ is bounded from below by a real …

In this article, we study the following anisotropic p-Laplacian equation with variable
exponent given by\begin {equation*}(P)\begin {cases}-\Delta_ {H, p} u=\frac {\lambda f …