We study existence and regularity of weak solutions for the following p-Laplacian system −Δpu+Aφθ+1|u|r−2u=f,u∈W01,p(Ω),−Δpφ=|u|rφθ,φ∈W01,p(Ω),where Ω is an open bounded subset of RN(N≥2), Δpv≔div(|∇v|p−2∇v) is the p-Laplacian operator, for 10, r>1, 0≤θ
Regularizing effect for some p-Laplacian systems / Durastanti, R.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 188:(2019), pp. 425-438. [10.1016/j.na.2019.06.011]
Regularizing effect for some p-Laplacian systems
Durastanti R.
2019
Abstract
We study existence and regularity of weak solutions for the following p-Laplacian system −Δpu+Aφθ+1|u|r−2u=f,u∈W01,p(Ω),−Δpφ=|u|rφθ,φ∈W01,p(Ω),where Ω is an open bounded subset of RN(N≥2), Δpv≔div(|∇v|p−2∇v) is the p-Laplacian operator, for 10, r>1, 0≤θFile allegati a questo prodotto
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