Results 21 to 30 of about 439 (72)

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

open access: yes, 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

Loop Type Subcontinua of Positive Solutions for Indefinite Concave-Convex Problems

open access: yesAdvanced Nonlinear Studies, 2019
We establish the existence of loop type subcontinua of nonnegative solutions for a class of concave-convex type elliptic equations with indefinite weights, under Dirichlet and Neumann boundary conditions.
Kaufmann Uriel   +2 more
doaj   +1 more source

Well-posedness and stationary solutions [PDF]

open access: yes, 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  

Global Continua of Positive Equilibria for some Quasilinear Parabolic Equation with a Nonlocal Initial Condition

open access: yes, 2012
This paper is concerned with a quaslinear parabolic equation including a nonlinear nonlocal initial condition. The problem arises as equilibrium equation in population dynamics with nonlinear diffusion.
Ch Walker   +14 more
core   +1 more source

Qualitative properties of solutions to mixed-diffusion bistable equations [PDF]

open access: yes, 2016
We consider a fourth-order extension of the Allen-Cahn model with mixed-diffusion and Navier boundary conditions. Using variational and bifurcation methods, we prove results on existence, uniqueness, positivity, stability, a priori estimates, and ...
Alberto, Saldaña   +2 more
core   +4 more sources

An elliptic equation with an indefinite sublinear boundary condition

open access: yesAdvances in Nonlinear Analysis, 2016
We investigate the ...
Ramos Quoirin Humberto, Umezu Kenichiro
doaj   +1 more source

On the existence of oscillating solutions in non-monotone Mean-Field Games [PDF]

open access: yes, 2018
For non-monotone single and two-populations time-dependent Mean-Field Game systems we obtain the existence of an infinite number of branches of non-trivial solutions. These non-trivial solutions are in particular shown to exhibit an oscillatory behaviour
Cirant, Marco
core   +2 more sources

Linear stability and bifurcation analysis for a free boundary problem arising in a double-layered tumor model

open access: yesAdvances 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
doaj   +1 more source

Global Components of Positive Bounded Variation Solutions of a One-Dimensional Indefinite Quasilinear Neumann Problem

open access: yesAdvanced 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

A nonradial bifurcation result with applications to supercritical problems

open access: yes, 2016
In this paper we consider the problem $-\Delta u=|x|^{\alpha} F(u)$ in $R^N$, with $\alpha>0$ and $N\ge3$. Under some assumptions on $F$ we deduce the existence of nonradial solutions which bifurcate from the radial one when $\alpha$ is an even integer ...
Amadori   +24 more
core   +1 more source

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