In this paper, we study the homogeneous Dirichlet problem for an elliptic equation whose simplest model is | Du|2 −Δu + M u^ = f$ in Ω, where Ω ⊂ R^N, $N ≥ 3$ is an open bounded set, $ ∈]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.
Gradient estimate for solutions of nonlinear singular elliptic equations below the duality exponent
CIRMI, Giuseppa Rita;D'ASERO, Salvatore;LEONARDI, Salvatore
2018
Abstract
In this paper, we study the homogeneous Dirichlet problem for an elliptic equation whose simplest model is | Du|2 −Δu + M u^ = f$ in Ω, where Ω ⊂ R^N, $N ≥ 3$ is an open bounded set, $ ∈]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.File in questo prodotto:
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