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- W2025008061 abstract "Abstract Many electrorheological fluids are suspensions of solid particles that are exposed to a strong electric field. This causes a dramatic increase of their effective viscosity. In this paper we are concerned with a mathematical problem that is related with this non-Newtonian behavior. More precisely, we study the nonlinear stationary equation − div ( | ∇ u | p ( x ) − 2 ∇ u ) + | u | p ( x ) − 2 u = f ( x , u ) in Ω , under Dirichlet boundary conditions, where Ω is a smooth bounded domain in R n , p > 1 is a continuous function, and f ( x , u ) has a sublinear growth near the origin. Under various natural assumptions, by using the Morse theory in combination with local linking arguments, we obtain the existence of nontrivial weak solutions." @default.
- W2025008061 created "2016-06-24" @default.
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- W2025008061 date "2014-06-01" @default.
- W2025008061 modified "2023-10-05" @default.
- W2025008061 title "Morse theory and local linking for a nonlinear degenerate problem arising in the theory of electrorheological fluids" @default.
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- W2025008061 doi "https://doi.org/10.1016/j.nonrwa.2013.12.006" @default.
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