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- W2949703668 abstract "This paper focuses on weak solutions to the following variational inequality∫Ω〈a(x,Du),D(φ−u)〉dx≥∫Ω〈|F|p−2F,D(φ−u)〉dx for all φ∈Aψ(Ω)={w∈W1,p(Ω)|w≥ψa.e. inΩ}, where the vector field a satisfies some growth and ellipticity conditions. We derive that the higher differentiability property of the weak solution u is related to the regularity of the assigned obstacle ψ and the nonhomogeneous term F under a suitable integer or fractional differentiability assumption on a(x,ξ) with respect to x." @default.
- W2949703668 created "2019-06-27" @default.
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- W2949703668 date "2019-11-01" @default.
- W2949703668 modified "2023-10-08" @default.
- W2949703668 title "Higher differentiability for solutions of nonhomogeneous elliptic obstacle problems" @default.
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- W2949703668 doi "https://doi.org/10.1016/j.jmaa.2019.06.052" @default.
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