Results 21 to 30 of about 419 (48)

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

Bifurcation of the roots of the characteristic polynomial and destabilization paradox in friction induced oscillations [PDF]

open access: yes, 2007
Paradoxical effect of small dissipative and gyroscopic forces on the stability of a linear non-conservative system, which manifests itself through the unpredictable at first sight behavior of the critical non-conservative load, is studied.
Kirillov, Oleg
core   +3 more sources

Intervals of bifurcation points for semilinear elliptic problems

open access: yesAdvances 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   +2 more
doaj   +1 more source

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

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

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

open access: yesOpen 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

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  

Geometric Aspects of Ambrosetti-Prodi operators with Lipschitz nonlinearities

open access: yes, 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   +12 more
core   +1 more source

Defect Modes and Homogenization of Periodic Schr\"odinger Operators

open access: yes, 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.   +2 more
core   +1 more source

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

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