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Convex solutions of systems arising from Monge-Ampère equations.

Wang, Haiyan — 2009

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Existence and nonexistence of positive solutions for quasilinear systems.

Wang, Haiyan — 2006

Boundary Value Problems [electronic only]

On the spinor zeta functions problem: higher power moments of the Riesz mean

Haiyan Wang — 2013

Acta Arithmetica

Let F be a Siegel cusp form of integral weight k on the Siegel modular group Sp₂(ℤ) of genus 2. The coefficients of the spinor zeta function $Z_{F} (s)$ are denoted by cₙ. Let $D_{ρ} (x; Z_{F})$ be the Riesz mean of cₙ. Kohnen and Wang obtained the truncated Voronoï-type formula for $D_{ρ} (x; Z_{F})$ under the Ramanujan-Petersson conjecture. In this paper, we study the higher power moments of $D_{ρ} (x; Z_{F})$ , and then derive an asymptotic formula for the hth (h=3,4,5) power moments of $D ₁ (x; Z_{F})$ by using Ivić’s large value arguments and other techniques.

Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions

D. R. Dunninger; Haiyan Wang — 1998

Annales Polonici Mathematici

We study the existence and multiplicity of positive solutions of the nonlinear equation u''(x) + λh(x)f(u(x)) = 0 subject to nonlinear boundary conditions. The method of upper and lower solutions and degree theory arguments are used.

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