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Asymptotic decomposition of a singular perturbation problem with unbounded energy

✍ Scribed by Franck Fontvieille; Gregory P. Panasenko; Jérôme Pousin


Publisher
Elsevier Science
Year
2002
Tongue
French
Weight
89 KB
Volume
330
Category
Article
ISSN
1631-0721

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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