Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Ruofei Yao"'
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2018 (2018)
We study the bifurcation and the exact multiplicity of solutions for a class of Neumann boundary value problem with indefinite weight. We prove that all the solutions obtained form a smooth reversed S-shaped curve by topological degree theory, Cranda
Externí odkaz:
https://doaj.org/article/5871a887b27a4caa8ac2fa13007a0bb4
Autor:
Ke Wu, Ruofei Yao
Publikováno v:
Journal of Differential Equations. 328:295-325
Autor:
Ruofei Yao, Rui Li
Publikováno v:
Mathematical Methods in the Applied Sciences. 45:2087-2096
Publikováno v:
Nonlinearity. 34:3858-3878
The paper is devoted to the qualitative properties of positive solutions to a semilinear elliptic equation in a planar sub-spherical sector. Under certain range of amplitudes, we prove some monotonicity properties via the method of moving planes. The
Autor:
Ruofei Yao, Rui Li
Publikováno v:
Nonlinear Analysis: Real World Applications. 69:103705
Autor:
Ruofei Yao, Hongbin Chen
Publikováno v:
Journal of Mathematical Analysis and Applications. 461:641-656
In this paper we prove some symmetry results for positive solutions of the semilinear elliptic equations of the type Δ u + f ( u ) = 0 with mixed boundary conditions in a spherical cone. In particular, we show that these solutions have a unique peak
Publikováno v:
Nonlinear Analysis. 134:105-116
In this paper, we study monotone radially symmetric solutions of semilinear equations with Allen–Cahn type nonlinearities by the bifurcation method. Under suitable conditions imposed on the nonlinearities, we show that the structure of the monotone
Publikováno v:
Calculus of Variations and Partial Differential Equations. 57
In this paper, we study symmetry and monotonicity properties for positive solutions of semilinear elliptic equations with mixed boundary conditions. We establish a version of the maximum principle for mixed boundary conditions in a narrow domain, and
Numerical simulation and qualitative analysis for a predator–prey model with B–D functional response
Publikováno v:
Mathematics and Computers in Simulation. 117:39-53
We consider a predator–prey model with Beddington–DeAngelis functional response subject to the homogeneous Neumann boundary condition. We study the local and global stability of the unique positive constant solution, the nonexistence of nonconsta
Publikováno v:
Applicable Analysis. 95:1635-1644
This paper is focused on the gradient blowup rate for the following general semilinear parabolic equationwith being a smoothly bounded domain in and being a smooth function. Under some suitable assumptions on , we establish the gradient blowup rate l