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Some weighted Gagliardo-Nirenberg inequalities and applications
Author(s):
Javier
Duoandikoetxea;
Luis
Vega
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2795-2802.
MSC (2000):
Primary 26D10
Posted:
February 9, 2007
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Abstract:
We obtain conditions on the measure  so that the  -norm of a function is controlled by the  -norms of the function and its gradient. Applications to eigenvalues of the Schrödinger operator and to other inequalites are also given.
References:
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- 3.
- L. Caffarelli, R. Kohn, and L. Nirenberg, First order interpolation inequalities with weights, Compositio Math. 53 (1984), no. 3, 259-275. MR 0768824 (86c:46028)
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Additional Information:
Javier
Duoandikoetxea
Affiliation:
Departamento de Matemáticas, Universidad del País Vasco, Apartado 644, 48080 Bilbao (Spain)
Email:
javier.duoandikoetxea@ehu.es
Luis
Vega
Affiliation:
Departamento de Matemáticas, Universidad del País Vasco, Apartado 644, 48080 Bilbao (Spain)
Email:
luis.vega@ehu.es
DOI:
10.1090/S0002-9939-07-08839-9
PII:
S 0002-9939(07)08839-9
Received by editor(s):
February 22, 2006
Received by editor(s) in revised form:
May 12, 2006
Posted:
February 9, 2007
Additional Notes:
The first author was supported by the grant MTM2005-08430 of MEC (Spain) and FEDER. The second author was supported by the grant MTM 2004-03029 of MEC (Spain) and FEDER. Both authors were supported by the European Project HPRN-CT-2001-00273-HARP
Communicated by:
Andreas Seeger
Copyright of article:
Copyright
2007,
American Mathematical Society
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