Partial differential equations with nonlinearities involving variable exponents have attracted an increasing amount of attention in recent years. The development, mainly by Růžička [47], of a theory modeling the behavior of electrorheological fluids, an important class of non-Newtonian fluids, seems to have boosted a still far from completed effort to study and understand this type of equations. Other important applications relate to image processing [8], elasticity [56] or flows in porous media [2].
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Flows in Porous Media: The Variable Exponent Case. In: The Method of Intrinsic Scaling. Lecture Notes in Mathematics, vol 1930. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75932-4_6
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DOI: https://doi.org/10.1007/978-3-540-75932-4_6
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