Concave and convex nonlinearities in nonstandard eigenvalue problems

Benouhiba, Nawel; Bounouala, Amina

doi:10.1007/978-3-319-18041-0_21

Nawel Benouhiba⁴ &
Amina Bounouala⁴

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 131))

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Abstract

This work deals with eigenvalues of the p(x)-Laplacian with a concave-convex nonlinearity in a bounded domain, subject to Dirichlet boundary conditions.

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References

Benouhiba N.: On the eigenvalues of weighted p(x)-laplacian on \(\mathbb{R}^{N}\). Nonlinear Analysis 74, 235–243 (2011)
Article MATH MathSciNet Google Scholar
Edmunds D. E., Rákosník J.: Sobolev embedding with variable exponent. Studia Mathematica 143, 267–293 (2000)
MATH MathSciNet Google Scholar
Fan X. L., Zhao D.: On the spaces L ^p(x)(Ω) and W ^1, p(x)(Ω). J. Math. Anal. Appl. 263, 424–446 (2001)
Article MATH MathSciNet Google Scholar
Halsey T. C.: Electrorheological Fluids. Sciences 258, 761–766 (1992)
Google Scholar
Kovácik O., Rákosník J.: On spaces L ^p(x)(Ω) and W ^1, p(x)(Ω). Czechoslovak Math. J. 41, 592–618 (1991)
MathSciNet Google Scholar
Liu S., Li S.: An elliptic equation with concave and convex nonlinearities. Nonlinear Analysis 53, 723–731 (2003)
Article MATH MathSciNet Google Scholar
Mashiyev R. A., Cekic B., Buhrii O.: Existence of solutions for p(x)-laplacian equations. E. J. of Qualitative Theory of Differential Equations 65, 1–13 (2010)
Article Google Scholar
M. Mihăilescu, Existence and multiplicity of solutions for an elliptic equation with p(x)-growth conditions. Glasgow Math. J. 48, 411–418 (2006)
Article MATH Google Scholar
Rajagopal K. R., Růžička M.: Mathematical Modeling of Electrorheological Fluids. Continuum Mech. Thermdyn. 13, 59–78 (2001)
Article MATH Google Scholar
Růžička M.: Electrorheological Fluids Modeling and Mathematical Theory. Springer-Verlag, Berlin (2002)
Google Scholar

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Authors and Affiliations

Laboratory of Applied Mathematics, Badji Mokhtar-Annaba University, 12 El, Hadjar, 23000, Annaba, Algeria
Nawel Benouhiba & Amina Bounouala

Authors

Nawel Benouhiba
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Amina Bounouala
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Correspondence to Nawel Benouhiba .

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Editors and Affiliations

Department of Mathematics, University of Sfax, Sfax, Tunisia
Aref Jeribi
Department of Mathematics, University of Sfax, Sfax, Tunisia
Mohamed Ali Hammami
Department of Mathematics, University of Sfax, Sfax, Tunisia
Afif Masmoudi

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Benouhiba, N., Bounouala, A. (2015). Concave and convex nonlinearities in nonstandard eigenvalue problems. In: Jeribi, A., Hammami, M., Masmoudi, A. (eds) Applied Mathematics in Tunisia. Springer Proceedings in Mathematics & Statistics, vol 131. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18041-0_21

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DOI: https://doi.org/10.1007/978-3-319-18041-0_21
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-18040-3
Online ISBN: 978-3-319-18041-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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