This book deals with some properties and applications of the Sobolev spaces with weights, the weight function being dependent on the distance of a point of the definition domain from the boundary of the domain or from its part. The introductory part starts with the fundamental definitions and some motivating examples and proceeds by going through the auxiliary results: weight functions, definition domains, Hardy inequality. Part one is devoted to the study of properties of Sobolev spaces with power-type weights; here the relation to the classical Sobolev spaces, conditions guaranteeing the density of smooth functions, imbedding theorems and some other problems are dealt with. Part two studies analogous problems for weights of a more general type, while the brief concluding Part three concerns applications of weighted spaces to the solution of the Dirichlet problem for an elliptic linear differential operator.
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Descrizione libro Wiley, 1985. Condizione libro: Good. 1st Edition. N/A. Ships from the UK. Former Library book. Shows some signs of wear, and may have some markings on the inside. Codice libro della libreria GRP82199902
Descrizione libro Wiley-Blackwell, 1985. Condizione libro: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Codice libro della libreria 5348090
Descrizione libro Wiley, 1985. Condizione libro: Good. 1st Edition. N/A. Former Library book. Shows some signs of wear, and may have some markings on the inside. Codice libro della libreria GRP89607784
Descrizione libro Wiley. Hardcover. Condizione libro: GOOD. Good clean copy with no missing pages might be an ex library copy; Possibly may have minor marginal notes and or highlighting. Codice libro della libreria 2635486411