Results 71 to 80 of about 4,712 (139)
Open Mathematics, 2018 This paper investigates the dynamic behavior analysis on the prey-predator model with ratio-dependent Monod-Haldane response function under the homogeneous Dirichlet boundary conditions, which is used to simulate a class of biological system.
Feng Xiaozhou, Song Yi, An Xiaomin
doaj +1 more source
Singular measure as principal eigenfunction of some nonlocal operators
, 2013 In this paper, we are interested in the spectral properties of the generalised principal eigenvalue of some nonlocal operator. That is, we look for the existence of some particular solution $(\lambda,\phi)$ of a nonlocal operator. $$\int_{\O}K(x,y)\phi(y)
Coville, Jerome
core +1 more source
Uniqueness of semilinear elliptic inverse problem
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 67, Page 4217-4227, 2003., 2003 We consider the uniqueness of the inverse problem for a semilinear elliptic differential equation with Dirichlet condition. The necessary and sufficient condition of unique solution is obtained. We improved the results obtained by Isakov and Sylvester (1994) for the same problem.
Chaochun Qu, Ping Wang
wiley +1 more source
Traveling waves for the Keller–Segel system with Fisher birth terms
, 2008 We consider the traveling wave problem for the one dimensional Keller-Segel system with a birth term of either a Fisher/KPP type or with a truncation for small population densities. We prove that there exists a solution under some stability conditions on
Grégoire Nadin, B. Perthame, L. Ryzhik
semanticscholar +1 more source
On certain nonlinear elliptic systems with indefinite terms
Electronic Journal of Differential Equations, 2002 We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002.
Ahmed Bensedik, Mohammed Bouchekif
doaj
Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket
, 2012 Under an appropriate oscillating behaviour either at zero or at infinity of the nonlinear term, the existence of a sequence of weak solutions for an eigenvalue Dirichlet problem on the Sierpinski gasket is proved.
G. Bonanno +2 more
semanticscholar +1 more source
Global existence of radial solutions of a hyperbolic MEMS equation with nonlocal term
, 2015 We consider a nonlocal hyperbolic MEMS equation in the higher dimensional annular domain. In this paper, we concentrate on the radial solutions. First we establish a time-local solution by a contraction mapping theorem. This procedure is standard.
Tosiya Miyasita
semanticscholar +1 more source
A Liouville type theorem for some conformally invariant fully nonlinear equations [PDF]
arXiv, 2002 We establish a Liouville type theorem for some conformally invariant fully nonlinear ...
arxiv
On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent [PDF]
, 2006 We consider the nonlinear eigenvalue problem $-{\rm div}(|\nabla u|^{p(x)-2}\nabla u)=\lambda |u|^{q(x)-2}u$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a bounded open set in $\RR^N$ with smooth boundary and $p$, $q$ are continuous ...
Mihailescu, Mihai, Radulescu, Vicentiu
core +1 more source
A general Liouville type theorem for some conformally invariant fully nonlinear equations [PDF]
arXiv, 2003 We establish a general Liouville type theorem for conformally invariant fully nonlinear equations.
arxiv