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The application of the nonsmooth critical point theory to the stationary electrorheological fluids

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Abstract

In this paper, we prove the existence of variational solutions to systems modeling electrorheological fluids in the stationary case. Our method of proof is based on the nonsmooth critical point theory for locally Lipschitz functional and the properties of the generalized Lebesgue–Sobolev space.

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  1. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China

    Chenyin Qian

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Qian, C. The application of the nonsmooth critical point theory to the stationary electrorheological fluids. Z. Angew. Math. Phys. 67, 38 (2016). https://doi.org/10.1007/s00033-016-0640-4

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  • DOI: https://doi.org/10.1007/s00033-016-0640-4

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