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Critical Points of Wang–Yau Quasi-Local Energy

✍ Scribed by Pengzi Miao; Luen-Fai Tam; Naqing Xie


Publisher
Springer
Year
2011
Tongue
English
Weight
426 KB
Volume
12
Category
Article
ISSN
1424-0637

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Critical Points of a Singular Perturbati
✍ Nicholas Alikakos; Michał Kowalczyk 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 208 KB

In this paper we study the existence of critical points of the functional where 0 # R d , d 2 is a bounded domain with C 3 boundary, u # H 1 (0), and = is a small parameter. On the nonlinearity F we assume: ). Additionally we require that there exists q>1 such that for u>0 the function F$(u)Âu q i