## The existence of ground states to a weakly coupled elliptic system.(English)Zbl 1044.35022

The author studies the asymptotic behaviour of ground state solutions of an elliptic system, which arises in the study of self-similar solutions of a parabolic system. The existence of slow-decaying and fast-decaying ground states are considered.

### MSC:

 35J55 Systems of elliptic equations, boundary value problems (MSC2000) 35K40 Second-order parabolic systems

### Keywords:

weakly coupled system; self-similar solutions
Full Text:

### References:

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