Minimizers of L2-subcritical variational problems with spatially decaying nonlinearities in bounded domains

作者：Chen, Bin; Gao, Yongshuai^*; Guo, Yujin; Wu, Yue

来源：Acta Mathematica Scientia, 2024, 44(3): 984-996.

DOI：10.1007/s10473-024-0312-y

• decaying nonlinearity
• L-2-subcritical
• minimizers
• bounded domains
• mass concentration

This paper is concerned with the minimizers of L-2-subcritical constraint variational problems with spatially decaying nonlinearities in a bounded domain Omega of R-N (N >= 1). We prove that the problem admits minimizers for any M > 0. Moreover, the limiting behavior of minimizers as M -> infinity is also analyzed rigorously.