Gradient estimate for solutions of nonlinear singular elliptic equations below the duality exponent | Zendy

Cirmi G. R. | Zendy; D'Asero S. | Zendy; Leonardi S. | Zendy

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Gradient estimate for solutions of nonlinear singular elliptic equations below the duality exponent

Author(s) -

Cirmi G. R.,

D'Asero S.,

Leonardi S.

Publication year - 2017

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4609

Subject(s) - mathematics , bounded function , exponent , mathematical analysis , homogeneous , space (punctuation) , nonlinear system , duality (order theory) , open set , geodetic datum , elliptic curve , dirichlet problem , pure mathematics , boundary value problem , combinatorics , physics , philosophy , linguistics , cartography , quantum mechanics , geography

In this paper, we study the homogeneous Dirichlet problem for an elliptic equation whose simplest model is − Δ u + M | D u | 2u θ= f in Ω ,where Ω ⊂ R N , N ≥3 is an open bounded set, θ ∈]0,1[, and f belongs to a suitable Morrey space. We will show that the Morrey property of the datum is transmitted to the gradient of a solution.

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