Solutions with interior bubble and boundary layer for an elliptic Neumann problem with critical nonlinearity

Abstract

We study positive solutions of the equation... where n = 3, 4.5 and ∊ > 0 is small, with Neumann boundary condition in a unit ball B. We prove the existence of solutions with an interior bubble at the center and a boundary layer at the boundary ∂ B. To cite this article: J. Wei, S. Yan, C. R. Acad. Sci. Paris, Ser. I 343 (2006).