Nonlinear elliptic systems with quadratic growth |
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| Authors: | Mariano Giaquinta Enrico Giusti |
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| Affiliation: | (1) Istituto Matematico, Università di Ferrara, Ferrara, Italia;(2) Dipartimento di Matematica e Fisica, Università di Trento, Trento, Italia |
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| Abstract: | We consider nonlinear elliptic systems div (A(x,u)·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. |
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