On the existence of a component-wise positive radially symmetric solution for a superlinear system | Zendy

Peter Zhidkov | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On the existence of a component-wise positive radially symmetric solution for a superlinear system

Author(s) -

Peter Zhidkov

Publication year - 2007

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2007.1.29

Subject(s) - mathematics , component (thermodynamics) , mathematical analysis , combinatorics , pure mathematics , mathematical physics , physics , quantum mechanics

The system under consideration is u + auu = u 3 uv 2 , u = u(x), v + avv = v 3 u 2 v, v = v(x), x 2 R 3 , u| |x|!1 = v| |x|!1 = 0, where au,av andare positive constants. We prove the existence of a component- wise positive smooth radially symmetric solution of this system. This result is a part of the results presented in the recent paper (1); in our opinion, our method allows one to treat the problem simpler and shorter.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research