Abstract:
We find solutions to the linear problem (1.1) and to the p-Laplacian type problem (1.2) in Lorentz spaces, improving the sumability of the solutions.
Registro:
Documento: |
Artículo
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Título: | Solutions to equations of p-Laplacian type in Lorentz spaces |
Autor: | De Nápoli, P.; Mariani, M.C. |
Filiación: | Dpto. de Matemática, Fac. de Cs. Exactas y Naturales, UBA, Pab. I, Ciudad Universitaria (1428), Buenos Aires, Argentina
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Palabras clave: | Lorentz spaces; p-Laplacian; Sumability of solutions |
Año: | 2001
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Volumen: | 8
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Número: | 3
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Página de inicio: | 469
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Página de fin: | 477
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Título revista: | Bulletin of the Belgian Mathematical Society - Simon Stevin
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Título revista abreviado: | Bull. Belg. Math. Soc. Simon Stevin
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ISSN: | 13701444
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v8_n3_p469_DeNapoli |
Referencias:
- Bocardo, L., Probleme Ellittici Con Termine Noto L1 e Misura (Course Notes), , S.I.S.A. 114/96/M (July 96)
- Dinca, G., Jebelean, P., Mawhin, J., Variational and Topological Methods for Dirichlet Problems with P-laplacian
- Gossez, J.-P., Some remarks on the antimaximum principle (1998) Revista de la Unión Matemática Argentina, 41 (1), pp. 79-84
- Lions, J.L., (1969) Quelques Méthodes de Résolution des Probĺmes aux Limites Non Lineaires, , Dunod - Gauthier-Villars - Paris
- Leray, J., Lions, J.L., Quelques résultats de višik sur les problèmes elliptiques non linéaires par les méthodes de minty-browder (1963) Bull. Soc. Math. France, 93, pp. 97-107
- Lorentz, G.G., Some new functional spaces (1950) Annals of Mathematics, 51, pp. 37-55
- O'Neil, R., Convolution operators and L(p,q) spaces (1963) Duke Math. J., 30, pp. 129-142
- Riviere, N.M., Interpolación a la marcinkiewicz (1971) Revista de la Unión Matemática Argentina, 25, pp. 363-377
- Stein, E.M., Weiss, G., (1971) Introduction to Fourier Analysis on Euclidean Spaces, , Princeton University Press
- Stampacchia, G., Le problème de dirichlet pour les équations elliptiques du second ordre à coefficients discontinus (1965) Ann. Inst. Fourier, Grenoble, 15 (1), pp. 189-258
- Talenti, G., Inequalities in rearrangement invariant function spaces in nonlinear analysis, function spaces and applications (1994) Proceedings of the Spring School Held in Prague, 5, pp. 177-230. , May 23-28, Mathematical Institute, Czech Academy of Sciences , and Prometheus Publishing House, Praha
- http://rattler.cameron.edu/emis/procedings/praha94/8.html
Citas:
---------- APA ----------
De Nápoli, P. & Mariani, M.C.
(2001)
. Solutions to equations of p-Laplacian type in Lorentz spaces. Bulletin of the Belgian Mathematical Society - Simon Stevin, 8(3), 469-477.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v8_n3_p469_DeNapoli [ ]
---------- CHICAGO ----------
De Nápoli, P., Mariani, M.C.
"Solutions to equations of p-Laplacian type in Lorentz spaces"
. Bulletin of the Belgian Mathematical Society - Simon Stevin 8, no. 3
(2001) : 469-477.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v8_n3_p469_DeNapoli [ ]
---------- MLA ----------
De Nápoli, P., Mariani, M.C.
"Solutions to equations of p-Laplacian type in Lorentz spaces"
. Bulletin of the Belgian Mathematical Society - Simon Stevin, vol. 8, no. 3, 2001, pp. 469-477.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v8_n3_p469_DeNapoli [ ]
---------- VANCOUVER ----------
De Nápoli, P., Mariani, M.C. Solutions to equations of p-Laplacian type in Lorentz spaces. Bull. Belg. Math. Soc. Simon Stevin. 2001;8(3):469-477.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v8_n3_p469_DeNapoli [ ]