科研之友
微信
新浪微博
Facebook
分享链接
摘要
We construct a smooth radial positive solution for the following m-coupled elliptic system @@@ {-Delta u(i) = f(u(i)) - beta Sigma(j)(not equal i)u(i)u(j)(2), in B-1(0), @@@ u(i) = 0, i = 1, ... , m, on partial derivative B-1(0), @@@ for beta > 0 large enough, where f is an element of C-2,C-1(R), f(0) = 0, B-1(0) subset of R-N is the unit ball centered at the origin, m >= 3, N >= 1 are positive integers. Our main result is an extension of Casteras and Sourdis (J Funct Anal 279:108674, 2020) from m = 2 to general case m >= 3 under some natural and essential non-degeneracy conditions by gluing method. The way we construct is somehow different and greatly simplify the computations since we overcome the difficulties brought by too much parameters from multiple equations.
