Global Hölder regularity of the gradient in Morrey spaces is established for planar elliptic discontinuous equations, estimating in an explicit way the Hölder exponent in terms of the eigenvalues of the operator. The result is proved for Dirichlet or normal derivative problems and for nonlinear operators.
On Linear and Nonlinear Boundary Value Problems in the Plane with Discontinuous Coefficients / Giuffre', Sofia; Idone, G. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 31:4(2011), pp. 1347-1363. [10.3934/dcds.2011.31.1347]
On Linear and Nonlinear Boundary Value Problems in the Plane with Discontinuous Coefficients
GIUFFRE', Sofia;
2011-01-01
Abstract
Global Hölder regularity of the gradient in Morrey spaces is established for planar elliptic discontinuous equations, estimating in an explicit way the Hölder exponent in terms of the eigenvalues of the operator. The result is proved for Dirichlet or normal derivative problems and for nonlinear operators.File in questo prodotto:
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