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Infinitely Many Solutions of the Neumann Problem for Elliptic systems in Anisotropic Variable Exponent Sobolev Spaces

A. Ahmed

A. Ahmed

University of Sidi Mohamed Ibn Abdellah, Faculty of Sciences Dhar El Mahraz, Laboratory LAMA, Department of Mathematics, B.P. 1796 AtlasFez, Morocco
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Ahmed, A.
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M.S.B. Elemine Vall

M.S.B. Elemine Vall

University of Sidi Mohamed Ibn Abdellah, Faculty of Sciences Dhar El Mahraz, Laboratory LAMA, Department of Mathematics, B.P. 1796 AtlasFez, Morocco
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Vall, M.S.B. Elemine
 and 
A. Touzani

A. Touzani

University of Sidi Mohamed Ibn Abdellah, Faculty of Sciences Dhar El Mahraz, Laboratory LAMA, Department of Mathematics, B.P. 1796 AtlasFez, Morocco
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Touzani, A.
  
Aug 01, 2017
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Published Online: Aug 01, 2017
Page range: 70 - 82
DOI: https://doi.org/10.1515/mjpaa-2017-0007
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© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper, we prove the existence of in finitely many solutions for the following system by applying a critical point variational principle obtained by Ricceri as a consequence of a more general variational principle and the theory of the anisotropic variable exponent Sobolev spaces 2010 Mathematics Subject Classification. 35K05 - 35K55.

Language:
English
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3 times per year
Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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