AbstractWe give necessary and sufficient conditions for the existence of positive solutions to a nonlinear elliptic system arising from mathematical ecology with the Dirichlet boundary data assigned by the equilibria of the corresponding ODE system. The main result is Theorem 1. The tools are Dancer fixed point index and degree theory
The purpose of this paper is to give a sufficient conditions for the existence and uniqueness of pos...
summary:Given a semilinear elliptic boundary value problem having the zero solution and where the no...
Uniqueness of non-negative solutions conjectured in an earlier paper by Shivaji is proved. Our metho...
AbstractLetM(u,v)=0,N(u,v)=0 define two distinct phase curves Γ1,Γ2in the (u,v)-phase plane. This pa...
The purpose of this research is to give a sufficient condition for the existence and nonexistence of...
AbstractThis paper considers the problem of finding positive vector-valued solutions U of the nonlin...
We shall study a class of mildly nonlinear elliptic eigenvalue problems which are suggested by sever...
We shall study a class of mildly nonlinear elliptic eigenvalue problems which are suggested by sever...
We shall study a class of mildly nonlinear elliptic eigenvalue problems which are suggested by sever...
Uniqueness of non-negative solutions conjectured in an earlier paper by Shivaji is proved. Our metho...
An elliptic system subject to the homogeneous Dirichlet boundary con- dition denoting the steady-sta...
AbstractA two-dimensional, positive-feedback system with diffusion is investigated, the two componen...
This dissertation focuses on the study of positive steady states to classes of nonlinear reaction di...
AbstractWe report on a result of upper–lower solutions for nonlinear elliptic systems without the as...
AbstractThis article considers the existence of positive solutions for various systems of four nonli...
The purpose of this paper is to give a sufficient conditions for the existence and uniqueness of pos...
summary:Given a semilinear elliptic boundary value problem having the zero solution and where the no...
Uniqueness of non-negative solutions conjectured in an earlier paper by Shivaji is proved. Our metho...
AbstractLetM(u,v)=0,N(u,v)=0 define two distinct phase curves Γ1,Γ2in the (u,v)-phase plane. This pa...
The purpose of this research is to give a sufficient condition for the existence and nonexistence of...
AbstractThis paper considers the problem of finding positive vector-valued solutions U of the nonlin...
We shall study a class of mildly nonlinear elliptic eigenvalue problems which are suggested by sever...
We shall study a class of mildly nonlinear elliptic eigenvalue problems which are suggested by sever...
We shall study a class of mildly nonlinear elliptic eigenvalue problems which are suggested by sever...
Uniqueness of non-negative solutions conjectured in an earlier paper by Shivaji is proved. Our metho...
An elliptic system subject to the homogeneous Dirichlet boundary con- dition denoting the steady-sta...
AbstractA two-dimensional, positive-feedback system with diffusion is investigated, the two componen...
This dissertation focuses on the study of positive steady states to classes of nonlinear reaction di...
AbstractWe report on a result of upper–lower solutions for nonlinear elliptic systems without the as...
AbstractThis article considers the existence of positive solutions for various systems of four nonli...
The purpose of this paper is to give a sufficient conditions for the existence and uniqueness of pos...
summary:Given a semilinear elliptic boundary value problem having the zero solution and where the no...
Uniqueness of non-negative solutions conjectured in an earlier paper by Shivaji is proved. Our metho...