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A COMPACTNESS EMBEDDING LEMMA, A PRINCIPLE OF SYMETRIC CRITICALITY AND APPLICATIONS TO ELLIPTIC PROBLEMS
- Source :
- Proyecciones (Antofagasta), Volume: 19, Issue: 1, Pages: 1-17, Published: MAY 2000, Proyecciones (Antofagasta) v.19 n.1 2000, SciELO Chile, CONICYT Chile, instacron:CONICYT
- Publication Year :
- 2000
- Publisher :
- Universidad Católica del Norte, Departamento de Matemáticas, 2000.
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Abstract
- In this paper, we present a compactness embedding theorem of a subspace of a the Sobolev space W 1;p (R N ) into L s (R N ) spaces, formed by functions u(x;y) which are spherically symmetry with respect to Þrst variable and R a(z)juj p dz a0 > 0 if jzj i R; for a large R > 0 and such that lim jyj!1 a(x;y) = +1 uniformly for x: Moreover, we give two
Details
- Language :
- Spanish; Castilian
- Database :
- OpenAIRE
- Journal :
- Proyecciones (Antofagasta), Volume: 19, Issue: 1, Pages: 1-17, Published: MAY 2000, Proyecciones (Antofagasta) v.19 n.1 2000, SciELO Chile, CONICYT Chile, instacron:CONICYT
- Accession number :
- edsair.doi.dedup.....372d88af9011e92f125d92681a75151d