We give necessary and sufficient conditions for the coexistence of strictly positive solutions for the system - δu = u [f(u)- g(v)] -δv=v[b(v)-a(u)], m Ω (u, v)∂Ω = (0, 0). This system is the general model for the steady state of a competitive interacting system. The coexistence is closely related to the spectral properties of certain differential operators of Schriidinger type. Many previously known results of this type follow easily from our results. © 1991, Khayyam Publishing. All rights reserved
We study existence and phase separation, and the relation between these two aspects, of positive bou...
We study existence and phase separation, and the relation between these two aspects, of positive bou...
We study existence and phase separation, and the relation between these two aspects, of positive bou...
We investigate mathematical conditions to guarantee the existence and uniqueness of positive solutio...
Abstract. The purpose of this paper is to give a sufficient condi-tion for the existence, nonexisten...
In this paper we study positive steady-state solutions of a reaction-diffusion model, the Lotka-Volt...
AbstractIn this paper we study positive steady-state solutions of a reaction-diffusion model, the Lo...
The purpose of this paper is to give the sufficient conditions for the existence and uniqueness of p...
summary:Two species of animals are competing in the same environment. Under what conditions do they ...
We study the existence of solutions to a general elliptic model. Specifically, we give conditions fo...
The purpose of this research is to give a sufficient condition for the existence and nonexistence of...
AbstractThis paper is concerned with a strongly-coupled elliptic system representing a competitivein...
systems which model the competitive interaction of two or more organisms allowed to move freely thro...
Two species of animals are competing or cooperating in the same environment. Under what conditions d...
AbstractThis article considers the existence of positive solutions for various systems of four nonli...
We study existence and phase separation, and the relation between these two aspects, of positive bou...
We study existence and phase separation, and the relation between these two aspects, of positive bou...
We study existence and phase separation, and the relation between these two aspects, of positive bou...
We investigate mathematical conditions to guarantee the existence and uniqueness of positive solutio...
Abstract. The purpose of this paper is to give a sufficient condi-tion for the existence, nonexisten...
In this paper we study positive steady-state solutions of a reaction-diffusion model, the Lotka-Volt...
AbstractIn this paper we study positive steady-state solutions of a reaction-diffusion model, the Lo...
The purpose of this paper is to give the sufficient conditions for the existence and uniqueness of p...
summary:Two species of animals are competing in the same environment. Under what conditions do they ...
We study the existence of solutions to a general elliptic model. Specifically, we give conditions fo...
The purpose of this research is to give a sufficient condition for the existence and nonexistence of...
AbstractThis paper is concerned with a strongly-coupled elliptic system representing a competitivein...
systems which model the competitive interaction of two or more organisms allowed to move freely thro...
Two species of animals are competing or cooperating in the same environment. Under what conditions d...
AbstractThis article considers the existence of positive solutions for various systems of four nonli...
We study existence and phase separation, and the relation between these two aspects, of positive bou...
We study existence and phase separation, and the relation between these two aspects, of positive bou...
We study existence and phase separation, and the relation between these two aspects, of positive bou...