Concentration of solutions for the Yamabe problem on half-spaces
Daomin Cao, Shuangjie Peng · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2013
By variational methods, for a type of Yamabe problem with boundary, we construct multi-peak solutions whose maxima tend to the boundary as the parameter tends to 0+ under certain assumptions. We also obtain the asymptotic behaviours of the solutions.