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Gradient estimate for solutions of nonlinear singular elliptic equations below the duality exponent
Abstract:In this paper, we study the homogeneous Dirichlet problem for an elliptic equation whose simplest model is urn:x-wiley:mma:media:mma4609:mma4609-math-0001 where urn:x-wiley:mma:media:mma4609:mma4609-math-0002, 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.
Keywords:Morrey estimate of the gradient below the duality exponent  singular natural growth gradient terms
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