We consider the following prototype problem: ⎧⎨ | ∇ u |^2 −u+Mu^θ =f in Ω, u = 0 on ∂Ω and we study the regularity of the gradient of a solution both in Morrey spaces and in fractional Sobolev spaces in correspondence of the regularity of the right-hand side.
Morrey estimates for solutions of singular quadratic nonlinear equations
CIRMI, Giuseppa Rita;D'ASERO, Salvatore;LEONARDI, Salvatore
2017-01-01
Abstract
We consider the following prototype problem: ⎧⎨ | ∇ u |^2 −u+Mu^θ =f in Ω, u = 0 on ∂Ω and we study the regularity of the gradient of a solution both in Morrey spaces and in fractional Sobolev spaces in correspondence of the regularity of the right-hand side.File in questo prodotto:
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