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Critical singular problems on infinite cones

✍ Scribed by Vincenţiu Rădulescu; Didier Smets

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
155 KB
Volume
54
Category
Article
ISSN
0362-546X

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✦ Synopsis

We prove existence results for non autonomous perturbations of critical singular elliptic boundary value problems. The non singular case was treated by Tarantello (Ann. Inst. H. Poincarà e, Analyse Non-linà eaire 9 (1992) 281) for bounded domains; here the singular weight allows for unbounded domains as cones and give rise to a di erent non compactness picture (as was ÿrst remarked by Caldiroli and Musina (Calc. Variations PDE 8 (1999) 365)).

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