We consider nonlinear elliptic systems div (A(x,u)\cdot Du) = f(x,u,Du) with a right-hand side of quadratic growth |f(x,u,p)|<= a|p|^2 + b Under suitable assumptions we show that every solution of such system is regular, except possibly on a closed set, whose codimension is greater that two.
Nonlinear elliptic systems with quadratic growth
GIAQUINTA, Mariano;
1978
Abstract
We consider nonlinear elliptic systems div (A(x,u)\cdot Du) = f(x,u,Du) with a right-hand side of quadratic growth |f(x,u,p)|<= a|p|^2 + b Under suitable assumptions we show that every solution of such system is regular, except possibly on a closed set, whose codimension is greater that two.File in questo prodotto:
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