TY - JOUR
T1 - Concentration on minimal submanifolds for a singularly perturbed Neumann problem
JF - Adv. Math. 209 (2007) 460-525
Y1 - 2007
A1 - Fethi Mahmoudi
A1 - Andrea Malchiodi
AB - We consider the equation $- \\\\e^2 \\\\D u + u= u^p$ in $\\\\Omega \\\\subseteq \\\\R^N$, where $\\\\Omega$ is open, smooth and bounded, and we prove concentration of solutions along $k$-dimensional minimal submanifolds of $\\\\partial \\\\O$, for $N \\\\geq 3$ and for $k \\\\in \\\\{1, ..., N-2\\\\}$. We impose Neumann boundary conditions, assuming $1