Jin Sun

activity

20242026

collaborators

Showing 2026Show all

3 papers · 1 filter

math.AP2026

To $1/2$ -logconcavity and beyond: Geometric properties of Dirichlet eigenfunctions

Lei Qin, Jin Sun, Kui Wang

We prove that, on a bounded open convex domain $Ω \subset R^{n}$ , the first Dirichlet eigenfunction of the Laplacian or the Ornstein--Uhlenbeck operator is $α$ -logconcave for…

math.AP2026

Parabolic Frequency for Doubly Nonlinear Equations on Manifolds

Jin Sun, Philipp Sürig

We establish monotonicity formulas for a parabolic frequency function associated with sign-changing solutions to a class of doubly nonlinear parabolic equations of the form $\parti…

math.AP2026

Sharp long distance upper bounds for solutions of Leibenson's equation on Riemannian manifolds

Alexander Grigor'yan, Jin Sun, Philipp Sürig

We consider on Riemannian manifolds the Leibenson equation $\partial_{t} u = Δ_{p} u^{q}$ that is also known as a doubly nonlinear evolution equation. We prove sharp upper estimates o…

To 1/2-logconcavity and beyond: Geometric properties of Dirichlet eigenfunctions

Parabolic Frequency for Doubly Nonlinear Equations on Manifolds

Sharp long distance upper bounds for solutions of Leibenson's equation on Riemannian manifolds

To $1/2$ -logconcavity and beyond: Geometric properties of Dirichlet eigenfunctions