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Critical Phenomena in Linear Elliptic Problems

โœ Scribed by Achilles Tertikas

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
373 KB
Volume
154
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

In this article we consider the existence and nonexistence of principal eigenvalues for the linear elliptic equation

where N 3, and V # L 1 loc (R N ) with V}0 in R N . We establish that when potential V has strong singularities, phenomena which appear under critical exponent nonlinearities (Brezis and Nirenberg) are present in linear problems as well.

๐Ÿ“œ SIMILAR VOLUMES

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