On the Ambrosetti-Malchiodi-Ni Conjecture for general submanifolds

Fethi Mahmoudi, Felipe Subiabre Sánchez, Wei Yao

We study positive solutions of the following semilinear equation $${\epsilon }^2{\Delta }_{\bar{g}}u-V(z)u+u^p=0onM,$$ where $(M,\bar{g})$ is a compact smooth $n$-dim…