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Publications Influence

Existence of Positive Stationary Solutions and Threshold Results for a Reaction–Diffusion System☆

- Yonggeng Gu, M. Wang
- Mathematics
- 20 September 1996

The systemu1t−Δu1=u1u2−bu1,u2t−Δu2=au1inΩ×(0, T), whereΩ⊂Rnis a smooth bounded domain, with homogeneous Dirichlet boundary conditionsu1=u2=0 on ∂Ω×(0, T) and initial conditionsu1(x, 0),u2(x, 0), is… Expand

25 3- PDF

A Short Note on Quenching Phenomena for Semilinear Parabolic Equations

- Q. Dai, Yonggeng Gu
- Mathematics
- 1 July 1997

Abstract In this paper, we investigate initial–boundary value problems for semilinear parabolic differential equations with singular term. A criterion for the appearance of quencing phenomena of… Expand

25 3- PDF

Positive solutions for non-homogeneous semilinear elliptic equations with data that changes sign

- Q. Dai, Yonggeng Gu
- Mathematics
- 1 April 2003

Let Ω ⊂ R N be a bounded domain. We consider the nonlinear problem
and prove that the existence of positive solutions of the above nonlinear problem is closely related to the existence of… Expand

21

A priori estimates, existence and non-existence of positive solutions of generalized mean curvature

- Q. Dai, Yonggeng Gu, J. Zhu
- Mathematics
- 1 December 2011

Abstract This paper concerns a priori estimates and existence of solutions of generalized mean curvature equations with Dirichlet boundary value conditions in smooth domains. Using the blow-up method… Expand

2- PDF

Uniqueness and stability of positive steady state solutions for a ratio-dependent predator–prey system with a crowding term in the prey equation

- X. Zeng, J. Zhang, Yonggeng Gu
- Mathematics
- 1 August 2015

Abstract This paper deals with a ratio-dependent predator–prey system with a crowding term in the prey equation, where it is assumed that the coefficient of the functional response is less than the… Expand

10

Global existence and decay estimates for solutions of degenerate parabolic equations

- Yonggeng Gu, Zai-de Wu
- Mathematics
- 1997

AbstractIn this paper, we will show the existence and certain decay estimate of the global solutions for the initial-boundary value problem
$$\left\{ {\begin{array}{*{20}c} {u_t - \frac{d}{{dx_i… Expand

POSITIVE SOLUTIONS OF ELLIPTIC AND PARABOLIC EQUATIONS WITH CONVEX-CONCAVE NONLINEARITIES

- Q. Dai, Yonggeng Gu
- Mathematics
- 30 September 2005

Existence and the dynamical behaviors of the positive solutions for a ratio-dependent predator–prey system with the crowing term and the weak growth

- X. Zeng, Yonggeng Gu
- Mathematics
- 1 March 2018

Abstract This paper deals with a ratio-dependent predator–prey system with the crowing term and the weak growth in the prey equation. Under the condition that the coefficient λ is less than a… Expand

9

STRONG NONLINEAR VARIATIONAL PROBLEMS WITH NATURAL BOUNDARY VALUE CONDITIONS

- Yonggeng Gu
- Mathematics
- 1 March 1983

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