In this paper,we study the asymptotic behavior of some solutions to a singularly perturbed problem with mixed Dirichlet and Neumann boundary conditions. We prove that, under suitable geometric conditions on the boundary of the domain, there exist solutions which approach the intersection of the Neumann and the Dirichlet parts as the singular perturbation parameter tends to zero.
|Titolo:||Concentration of solutions for some singularly perturbed mixed problems. Part I: existence results|
|Data di pubblicazione:||2010|
|Appare nelle tipologie:||1.1 Articolo in rivista|