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Fast and slow decay solutions for supercritical elliptic problems in exterior domains

✍ Scribed by Juan Dávila; Manuel del Pino; Monica Musso; Juncheng Wei

Publisher
Springer
Year
2008
Tongue
English
Weight
373 KB
Volume
32
Category
Article
ISSN
0944-2669

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📜 SIMILAR VOLUMES

Multiple positive solutions for singular
Multiple positive solutions for singularly perturbed elliptic problems in exterior domains
✍ Giovanna Cerami; Riccardo Molle 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 149 KB

The equation -ε 2 u + a ε (x)u = u p-1 with boundary Dirichlet zero data is considered in an exterior domain = R N \ ω (ω bounded and N 2). Under the assumption that a ε a 0 > 0 concentrates round a point of as ε → 0, that p > 2 and p < 2N/(N -2) when N 3, the existence of at least three positive di