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On an elliptic equation of p-Kirchhoff type via variational methods

Published online by Cambridge University Press:  17 April 2009

Francisco Júlio ,
S. A. Corrêa  and
Giovany M. Figueiredo
Francisco Júlio
Affiliation:
Departamento de Matemática-CCEN, Universidade Federal do Pará, 66.075-110-Belém-Pará, Brazil e-mail: fjulio@ufpa.br, e-mail: giovany@ufpa.br
S. A. Corrêa
Affiliation:
Departamento de Matemática-CCEN, Universidade Federal do Pará, 66.075-110-Belém-Pará, Brazil e-mail: fjulio@ufpa.br, e-mail: giovany@ufpa.br
Giovany M. Figueiredo
Affiliation:
Departamento de Matemática-CCEN, Universidade Federal do Pará, 66.075-110-Belém-Pará, Brazil e-mail: fjulio@ufpa.br, e-mail: giovany@ufpa.br
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This paper is concerned with the existence of positive solutions to the class of nonlocal boundary value problems of the p-Kirchhoff type and where Ω is a bounded smooth domain of ℝN, 1 < p < N, s ≥ p* = (pN)/(N – p) and M and f are continuous functions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 74 , Issue 2 , October 2006 , pp. 263 - 277
Copyright
Copyright © Australian Mathematical Society 2006

References

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