Results 31 to 40 of about 456 (63)

Dynamics in a predator-prey model with predation-driven Allee effect and memory effect

Open Mathematics
In this article, a diffusive predator-prey model with memory effect and predation-driven Allee effect is considered. Through eigenvalue analysis, the local asymptotic stability of positive constant steady-state solutions is analyzed, and it is found that
Zhang Huiwen, Jin Dan
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An elliptic equation with an indefinite sublinear boundary condition

Advances in Nonlinear Analysis, 2016
We investigate the ...
Ramos Quoirin Humberto, Umezu Kenichiro
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Global Components of Positive Bounded Variation Solutions of a One-Dimensional Indefinite Quasilinear Neumann Problem

Advanced Nonlinear Studies, 2019
This paper investigates the topological structure of the set of the positive solutions of the one-dimensional quasilinear indefinite Neumann ...
López-Gómez Julian, Omari Pierpaolo
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Intervals of bifurcation points for semilinear elliptic problems

Advances in Nonlinear Analysis
In this article, we study the behavior of multiple continua of solutions to the semilinear elliptic problem −Δu=λf(u),inΩ,u=0,on∂Ω,\left\{\begin{array}{ll}-\Delta u=\lambda f\left(u),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em ...
Tapia José Carmona, Aparicio Antonio J. Martínez, Martínez-Aparicio Pedro J.   +2 more
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Well-posedness and stationary solutions [PDF]

, 2011
In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be ...
Burns, Martin, Grinfeld, Michael
core  

Defect Modes and Homogenization of Periodic Schr\"odinger Operators

, 2011
We consider the discrete eigenvalues of the operator $H_\eps=-\Delta+V(\x)+\eps^2Q(\eps\x)$, where $V(\x)$ is periodic and $Q(\y)$ is localized on $\R^d,\ \ d\ge1$.
Bechouche P., M. A. Hoefer, M. I. Weinstein   +2 more
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Linear stability and bifurcation analysis for a free boundary problem arising in a double-layered tumor model

Advances in Nonlinear Analysis
In this article, we consider a free boundary problem modeling the growth of a double-layered tumor, which contains quiescent cells and proliferating cells.
Liu Yaxin, Song Huijuan, Wang Zejia
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Local minimizers over the Nehari manifold for a class of concave-convex problems with sign changing nonlinearity

, 2017
We study a $p$-Laplacian equation involving a parameter $\lambda$ and a concave-convex nonlinearity containing a weight which can change sign. By using the Nehari manifold and the fibering method, we show the existence of two positive solutions on some ...
Macedo, Abiel, Silva, Kaye
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A diffusive plant-sulphide model: spatio-temporal dynamics contrast between discrete and distributed delay

European Journal of Applied Mathematics
This paper studies the spatio-temporal dynamics of a diffusive plant-sulphide model with toxicity delay. More specifically, the effects of discrete delay and distributed delay on the dynamics are explored, respectively.
Yonghui Xia, Jianglong Xiao, Jianshe Yu
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Geometric Aspects of Ambrosetti-Prodi operators with Lipschitz nonlinearities

, 2015
For Dirichlet boundary conditions on a bounded domain, what happens to the critical set of the Ambrosetti-Prodi operator if the nonlinearity is only a Lipschitz map?
A Ambrosetti, A Hammerstein, A Manes, AC Lazer, AC Lazer, CL Dolph, DG Costa, G Savaré, JT Cal Neto, MS Berger, MW Smiley, P Felmer, P Grisvard   +12 more
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