Existence and nonexistence of positive steady states in multi-species phytoplankton dynamics

Flat steady states in stellar dynamics—existence and stability

We consider a special case of the three dimensional Vlasov-Poisson system where the particles are restricted to a plane, a situation that is used in astrophysics to model extremely flattened galaxies. We prove the existence of steady states of this system. They are obtained as minimizers of an energy-Casimir functional from which fact a certain dynamical stability property is deduced. From a ma...

Existence and nonexistence of positive solution for sixth-order boundary value problems

‎In this paper‎, ‎we formulate the sixth-order boundary value problem as Fredholm integral equation by finding Green's function and obtain the sufficient conditions for existence and multiplicity of positive solution for this problem‎. ‎Also nonexistence results are obtained‎. ‎An example is given to illustrate the results of paper‎.

Existence and Nonexistence of Positive Radial Solutions for Quasilinear Systems

The paper deals with the existence and nonexistence of positive radial solutions for the weakly coupled quasilinear system div (

Existence and Nonexistence of Positive Solutions for Quasilinear Systems

The paper deals with the existence and nonexistence of positive solutions for a class of p-Laplacian systems. We investigate the effect of the size of the domain on the existence of positive solution for the problem in sublinear cases. We will use fixed point theorems in a cone. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted...

Existence and Nonexistence of Solutionsfor