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Minimizing Properties of Critical Points of Quasi-Local Energy

✍ Scribed by Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung


Book ID
121544108
Publisher
Springer
Year
2014
Tongue
English
Weight
244 KB
Volume
329
Category
Article
ISSN
0010-3616

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Critical Points of a Singular Perturbati
✍ Nicholas Alikakos; MichaΕ‚ Kowalczyk πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 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)Γ‚u q i