Radial and nonradial solutions for a semilinear elliptic system of Schrödinger type

Details Radial and nonradial solutions for a semilinear elliptic system of Schrödinger type Radial and nonradial solutions for a semilinear elliptic system of Schrödinger type

2011-05-13

arxiv.org/abs/1105.2652v1

Mathematics

Analysis of PDEs

to appear in Funkcialaj Ekvacioj

Scientific paper

In this article we consider the system of equations {\Delta}u_{i}=p_{i}(x)f_{i}(u_{1},...,u_{d}) for i=1,...,d on R^{N}, N\geq3 and d\in{1,2,3,4,...}. We prove that the considered system has a bounded positive entire solution under some conditions on p_{i} and f_{i}. Also, we give a necessary condition as well as a sufficient condition for a positive radial solution to be large. The method of proving theorems is essentially based on a successive approximation. Furthermore, a non-radially symmetric solution is obtained by using a lower and upper solution method.

Affiliated with

Also associated with

No associations

Rating

Radial and nonradial solutions for a semilinear elliptic system of Schrödinger type does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Radial and nonradial solutions for a semilinear elliptic system of Schrödinger type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Radial and nonradial solutions for a semilinear elliptic system of Schrödinger type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-26942