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The impact of a lower order term in a dirichlet problem with a singular nonlinearity

Abstract : In this paper we study the existence and regularity of solutions to the following Dirichlet problem        −div(a(x)|∇u| p−2 ∇u) + u|u| r−1 = f (x) u θ in Ω, u > 0 in Ω, u = 0 on ∂Ω proving that the lower order term u|u| r−1 has some regularizing effects on the solutions. Mathematics Subject Classification (2010). 35J66, 35J75
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https://hal.archives-ouvertes.fr/hal-02421838
Contributor : Gisella Croce <>
Submitted on : Wednesday, May 13, 2020 - 5:14:06 PM
Last modification on : Wednesday, July 22, 2020 - 4:02:11 PM

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  • HAL Id : hal-02421838, version 2

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Lucio Boccardo, Gisella Croce. The impact of a lower order term in a dirichlet problem with a singular nonlinearity. Portugaliae Mathematica, European Mathematical Society Publishing House, inPress. ⟨hal-02421838v2⟩

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