We give an explicit solution to the vectorial differential inclusion where we have to find a map u defined on an open bounded set of R^2 with values in R^2, equal to zero at the boundary and with gradient Du(x) being almost everywhere an orthogonal matrix.
An explicit solution to a system of implicit differential equations / B. DACOROGNA; P. MARCELLINI; E. PAOLINI. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - STAMPA. - 25:(2008), pp. 163-171.
An explicit solution to a system of implicit differential equations
MARCELLINI, PAOLO;PAOLINI, EMANUELE
2008
Abstract
We give an explicit solution to the vectorial differential inclusion where we have to find a map u defined on an open bounded set of R^2 with values in R^2, equal to zero at the boundary and with gradient Du(x) being almost everywhere an orthogonal matrix.
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