Abstract:
This work is devoted to study the existence of solutions to equations of p-Laplacian type. We prove the existence of at least one solution, and under further assumptions, the existence of infinitely many solutions. In order to apply mountain pass results, we introduce a notion of uniformly convex functional that generalizes the notion of uniformly convex norm. © 2003 Elsevier Ltd. All rights reserved.
Registro:
Documento: |
Artículo
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Título: | Mountain pass solutions to equations of p-Laplacian type |
Autor: | De Nápoli, P.; Mariani, M.C. |
Filiación: | FCEyN-Depto. de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
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Palabras clave: | Clarkson inequality; Mountain pass Theorem; Multiple solutions; p-Laplacian; Uniform convexity; Linear equations; Problem solving; Set theory; Theorem proving; Clarkson inequality; Nonlinear systems |
Año: | 2003
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Volumen: | 54
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Número: | 7
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Página de inicio: | 1205
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Página de fin: | 1219
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DOI: |
http://dx.doi.org/10.1016/S0362-546X(03)00105-6 |
Título revista: | Nonlinear Analysis, Theory, Methods and Applications
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Título revista abreviado: | Nonlinear Anal Theory Methods Appl
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ISSN: | 0362546X
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CODEN: | NOAND
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v54_n7_p1205_DeNapoli |
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Citas:
---------- APA ----------
De Nápoli, P. & Mariani, M.C.
(2003)
. Mountain pass solutions to equations of p-Laplacian type. Nonlinear Analysis, Theory, Methods and Applications, 54(7), 1205-1219.
http://dx.doi.org/10.1016/S0362-546X(03)00105-6---------- CHICAGO ----------
De Nápoli, P., Mariani, M.C.
"Mountain pass solutions to equations of p-Laplacian type"
. Nonlinear Analysis, Theory, Methods and Applications 54, no. 7
(2003) : 1205-1219.
http://dx.doi.org/10.1016/S0362-546X(03)00105-6---------- MLA ----------
De Nápoli, P., Mariani, M.C.
"Mountain pass solutions to equations of p-Laplacian type"
. Nonlinear Analysis, Theory, Methods and Applications, vol. 54, no. 7, 2003, pp. 1205-1219.
http://dx.doi.org/10.1016/S0362-546X(03)00105-6---------- VANCOUVER ----------
De Nápoli, P., Mariani, M.C. Mountain pass solutions to equations of p-Laplacian type. Nonlinear Anal Theory Methods Appl. 2003;54(7):1205-1219.
http://dx.doi.org/10.1016/S0362-546X(03)00105-6