3 citations · 4 across the 6 of their papers we have counts for
6 papers
Shafer-Fink type inequalities for arc lemniscate functions
Minjie Wei, Yue He, Gendi Wang
In this paper, we investigate the monotonicity and inequalities for some functions involving the arc lemniscate and the hyperbolic arc lemniscate functions. In particular, sharp Sh…
Proof of the Pólya conjecture
Yue He
In this paper, we study lower bounds for higher eigenvalues of the Dirichlet eigenvalue problem of the Laplacian on a bounded domain in . It is well known that th…
On sharp lower bound of the spectral gap for a Schrödinger operator and some related results
Yue He
In this paper, we give an easy proof of the main results of Andrews and Clutterbuck's paper [J. Amer. Math. Soc. 24 (2011), no. 3, 899--916], which gives both a sharp lower bound f…
Sharp estimate of lower bound for the first eigenvalue in the Laplacian operator on compact Riemannian manifolds
Yue He
The aim of this paper is give a simple proof of some results in \cite{Jun Ling-2006-IJM} and \cite{JunLing-2007-AGAG}, which are very deep studies in the sharp lower bound of the f…
Transonic Potential Flows in A Convergent--Divergent Approximate Nozzle
Hairong Yuan, Yue He
In this paper we prove existence, uniqueness and regularity of certain perturbed (subsonic--supersonic) transonic potential flows in a two-dimensional Riemannian manifold with "con…
Well-posedness of boundary value problems for a class of second order degenerate elliptic equations
Yue He
In this paper, we study the well-posedness of boundary value problems for a special class of degenerate elliptic equations coming from geometry. Such problems is intimately tied to…