Concentration of Solutions for Some Singularly Perturbed Mixed Problems: Existence Results

被引：0
|
作者：
Jesus Garcia Azorero
Andrea Malchiodi
Luigi Montoro
Ireneo Peral
机构：
[1] UAM,Departamento de Matemáticas
[2] SISSA,Dipartimento di Matematica
[3] UNICAL,undefined
来源：
Archive for Rational Mechanics and Analysis | 2010年 / 196卷
关键词：
Neumann Boundary Condition; Neumann Problem; Pointwise Estimate; Critical Point Theory; Natural Constraint;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：907 / 950
页数：43
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