Abstract
The classical theory of nonlinear partial differential equations assumes that the involved nonlinear terms are of power-law type, or in other words they satisfy growth and coercivity conditions of polynomial type. This leads to the well-known framework of Sobolev spaces. Notwithstanding their powerful properties, they sometimes turn out not to be sufficient to describe some physical phenomena. The studies undertaken in this book concern the existence of solutions to abstract elliptic and parabolic equations, as well as systems of equations which come from applications in the continuum mechanics of non-Newtonian fluids and porous structures.
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Chlebicka, I., Gwiazda, P., Świerczewska-Gwiazda, A., Wróblewska-Kamińska, A. (2021). Introduction. In: Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-88856-5_1
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DOI: https://doi.org/10.1007/978-3-030-88856-5_1
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