scholarly journals Weak convergence of measures

Metrika ◽  
1984 ◽  
Vol 31 (1) ◽  
pp. 284-284
Author(s):  
E. Siebert
Author(s):  
Juncheng Wei

For some singular perturbed Dirichlet and Neumann problems in a bounded smooth domain, we study solutions which have a spike in the interior. We obtain both necessary and sufficient conditions for the existence of interior spike solutions. We use, among others, the methods of projections and viscosity solutions, weak convergence of measures and Liapunov–Schmidt reduction.


2009 ◽  
pp. 277-320
Author(s):  
John J. Benedetto ◽  
Wojciech Czaja

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