Higher order energy expansions for some singularly perturbed Neumann problems
نویسندگان
چکیده
منابع مشابه
Higher Order Energy Expansions for Some Singularly Perturbed Neumann Problems
We consider the following singularly perturbed semilinear elliptic problem: 2 u ? u + u p = 0 in ; u > 0 in and @u @ = 0 on @; where is a bounded smooth domain in R N , > 0 is a small constant and p is a sub-critical exponent. Let J u] := R (2 2 jruj 2 + 1 2 u 2 ? 1 p+1 u p+1)dx be its energy functional, where u 2 H 1 ((). Ni and Takagi ((15], 16]) proved that for a single boundary spike soluti...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2003
ISSN: 1631-073X
DOI: 10.1016/s1631-073x(03)00269-3