Orlicz regularity of the gradient of solutions to quasilinear elliptic equations in the plane
De Cave, Linda Maria; D'Onofrio, Luigi; Schiattarella, Roberta
2016

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Abstract

Given a planar domain Omega, we study the Dirichlet problem {-divA(x, del v) = f in Omega, v = 0 on partial derivative Omega, where the higher-order term is a quasilinear elliptic operator, and f belongs to the Zygmund space L(log L)delta(log log log L)(beta/2) (Omega) with beta >= 0 and delta >= 1/2. We prove that the gradient of the variational solution v is an element of W-0(1,2) (Omega) belongs to the space L-2(log L)(2 delta-1)(log log log L)(beta)(Omega).

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Title Orlicz regularity of the gradient of solutions to quasilinear elliptic equations in the plane
Author(s) De Cave, Linda Maria ; D'Onofrio, Luigi ; Schiattarella, Roberta
Published in Boundary Value Problems
Pagination 15
Pages 1-15
Date 2016
ISSN 1687-2770
Keywords
DOI https://doi.org/10.1186/s13661-016-0607-6
Other identifier(s) View record in Web of Science
Laboratories MATHAA
Record Appears in Scientific production and competences > SB - School of Basic Sciences > SB Archives > MATHAA - Mathematics Institute for Analysis and Applications
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date 2016-07-19

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