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

Qi, Yuan-wei

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 6, 905-925 (2002).

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.

Reviewer: Stepan Tersian (Russe)

MSC:

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

Keywords:

weakly coupled system; self-similar solutions

References:

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