Higher order Calderón-Zygmund estimates for the p-Laplace equation
نویسندگان
چکیده
منابع مشابه
CALDERÓN–ZYGMUND ESTIMATES FOR HIGHER ORDER SYSTEMS WITH p(x) GROWTH
for φ ∈ W 0 ( Ω;R ) with |Dmφ|p(·) ∈ Lloc (Ω) , suppφ ⋐ Ω. Here A denotes a vector field A : Ω × ⊙m(Rn,RN ) → Hom(⊙m(Rn,RN ),R), F : Ω → RN(n+m−1 m ), and p : Ω → (1,∞) a measurable function. ⊙m(Rn,RN ) denotes the space of symmetric m– linear forms on R with values in R . The coefficient A is supposed to have p(x)– growth, i.e. for μ ∈ [0, 1] there holds 〈DzA (x, z)λ, λ〉 ≈ ( μ + |z| ) p(x)−2 2...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2020
ISSN: 0022-0396
DOI: 10.1016/j.jde.2019.08.009