Results 31 to 40 of about 446 (63)

Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth

, 2000
In this paper we develop a general technique for establishing analyticity of solutions of partial differential equations which depend on a parameter e. The technique is worked out primarily for a free boundary problem describing a model of a stationary ...
A. Friedman, F. Reitich
semanticscholar   +1 more source

On the manifold structure of the set of unparameterized embeddings with low regularity

, 2010
Given manifolds $M$ and $N$, with $M$ compact, we study the geometrical structure of the space of embeddings of $M$ into $N$, having less regularity than $\mathcal C^\infty$, quotiented by the group of diffeomorphisms of $M$.Comment: To appear in the ...
Alias, Luis J., Piccione, Paolo
core   +1 more source

Global Bifurcation of Positive Equilibria in Nonlinear Population Models [PDF]

, 2009
Existence of nontrivial nonnegative equilibrium solutions for age structured population models with nonlinear diffusion is investigated. Introducing a parameter measuring the intensity of the fertility, global bifurcation is shown of a branch of positive
Amann, Amann, Amann, Amann, Amann, Busenberg, Busenberg, Christoph Walker, Cushing, Cushing, Cushing, Daners, Delgado, Delgado, Gutman, Langlais, Langlais, Laurençot, Magal, Prüß, Prüß, Prüß, Rabinowitz, Rhandi, Thieme, Triebel, Walker, Walker, Walker, Webb, Webb   +30 more
core   +2 more sources

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
doaj   +1 more source

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
doaj   +1 more source

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  

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
core   +1 more source

The p-Laplace equation in domains with multiple crack section via pencil operators [PDF]

, 2014
The p-Laplace equation $$ \n \cdot (|\n u|^n \n u)=0 \whereA n>0, $$ in a bounded domain $\O \subset \re^2$, with inhomogeneous Dirichlet conditions on the smooth boundary $\p \O$ is considered.
Alvarez-Caudevilla, Pablo, Galaktionov, Victor A.   +1 more
core   +2 more sources

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
doaj   +1 more source

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
doaj   +1 more source