Y. Zhang

activity

20162023

most citedA Variational Characterisation of the Second Eigenvalue of the p-Laplacian on Quasi Open Sets

6 citations · 11 across the 7 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.AP2018★ 1 cited

An asymtotic sharp Sobolev regularity for planar infinity harmonic functions

Herbert Koch, Yi Ru-Ya Zhang, Yuan Zhou

Given an arbitrary planar $\infty$ -harmonic function $u$ , for each $α > 0$ we establish a quantitative local $W^{1, 2}$ -estimate of $∣ D u ∣^{α}$ , which is sharp as $α \to 0$ . We also show t…

math.AP2018★ 6 cited

A Variational Characterisation of the Second Eigenvalue of the p-Laplacian on Quasi Open Sets

Nicola Fusco, Shirsho Mukherjee, Yi Ru-Ya Zhang

In this article, we prove a minimax characterization of the second eigenvalue of the p-Laplacian operator on p-quasi-open sets, using a construction based on minimizing movements.…