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:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/310450
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 15
  • ???jsp.display-item.citation.isi??? 11
social impact