Abstract

We derive global gradient estimates in Morrey spaces for the weak solutions to discontinuous quasilinear elliptic equations related to important variational problems arising in models of linearly elastic laminates and composite materials. The principal coefficients of the quasilinear operator are supposed to be merely measurable in one variable and to have small-BMO seminorms in the remaining orthogonal directions, and the nonlinear terms are subject to controlled growth conditions with respect to the unknown function and its gradient. The boundary of the domain considered is Reifenberg flat which includes boundaries with rough fractal structure. As outgrowth of the main result we get global Hoelder continuity of the weak solution with exact value of the corresponding exponent.

Autore Pugliese

• Palagachev Dian Kostadinov

Tutti gli autori

• BYUN S.-S. , PALAGACHEV D.K.

Titolo volume/Rivista

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Anno di pubblicazione

2014

ISSN

0944-2669

ISBN

Non Disponibile

Numero di citazioni Wos

Nessuna citazione

Ultimo Aggiornamento Citazioni

Non Disponibile

Numero di citazioni Scopus

7

Ultimo Aggiornamento Citazioni

2017-04-22 03:20:59

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile