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City Liouville / Boca Raton / Article / New York / Edinburgh / / Company Mathematical Physics Hindawi Publishing Corporation / Applied Mathematics Algebra Hindawi Publishing Corporation / Volume 2014 The Scientific World Journal Hindawi Publishing Corporation / Creative Commons / Applied Analysis Volume 2014 Hindawi Publishing Corporation / Differential Equations Hindawi Publishing Corporation / Hindawi Publishing Corporation / John Wiley & Sons / Operations Research Hindawi Publishing Corporation / Decision Sciences Hindawi Publishing Corporation / / Country United States / / / Facility Taiyuan University of Technology / / IndustryTerm inner product / quasilinear elliptic systems / distinct solutions / porous media / weak solutions / / Organization Nonsmooth Potential Kaimin Teng Department of Mathematics / Taiyuan University of Technology / Taiyuan / Royal Society / Shanxi Province Science Foundation for Youths / / Person Salvatore A. Marano / / Position Academic Editor / Acknowledgments The author / / ProvinceOrState Florida / New York / / PublishedMedium Proceedings of the Royal Society / / Technology http / electrochemistry / / URL www.hindawi.com / http / SocialTag