| Title | Concentration on minimal submanifolds for a singularly perturbed Neumann problem |
| Publication Type | Journal Article |
| Year of Publication | 2007 |
| Authors | Mahmoudi, F, Malchiodi, A |
| Journal | Adv. Math. 209 (2007) 460-525 |
| Abstract | 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 |
| URL | http://hdl.handle.net/1963/2013 |
| DOI | 10.1016/j.aim.2006.05.014 |
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