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Ljusternik–Schnirelmann Theorem for the Generalized Laplacian

✍ Scribed by Matti Tienari

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
174 KB
Volume
161
Category
Article
ISSN
0022-0396

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On an Approximate Solution of the Dirich
On an Approximate Solution of the Dirichlet Problem for the Generalized Laplacian
✍ Nikolai N. Tarkhanov 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 750 KB

## Abstract For an arbitrary differential operator __P__ of order __p__ on an open set __X__ ⊂ R^n^, the Laplacian is defined by Δ = __P__\*__P__. It is an elliptic differential operator of order __2p__ provided the symbol mapping of __P__ is injective. Let __O__ be a relatively compact domain in _