2,648 research outputs found
Boundary-layers for a Neumann problem at higher critical exponents
We consider the Neumann problem where is an open bounded
domain in is the unit inner normal at the boundary and
For any integer, we show that, in some suitable domains
problem has a solution which blows-up along a
dimensional minimal submanifold of the boundary as
approaches from either below or above the higher critical Sobolev exponent
Comment: 13 page
Concentration of Solutions for a Singularly Perturbed Neumann Problem in non smooth domains
We consider the equation in a bounded
domain with edges. We impose Neumann boundary conditions,
assuming , and prove concentration of solutions at suitable points of
on the edges.Comment: 24 pages. Second Version, minor changes. To appear in Annales de
l'Institut Henri Poincar\'e - Analyse non lin\'eair
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