A nondegeneracy condition for a semilinear elliptic system and the existence of multibump solutions (Q2037118)

This article discusses the system \(-\Delta u+L(x) u=F_u(x,u)\), \((x,u)\in \mathbb{R}^n\times \mathbb{R}^m\), where \(L\) is a \(m\times m\) matrix and \(F\geq 0\) satisfy some suitable conditions. Using variational methods the authors establish the existence of a broader class of multibump solutions.