Minimizing a functional depending on \(\nabla u\) and on \(u\). (English) Zbl 0876.49001

The author proves existence of solutions for a class of minimum problems of the calculus of variations where the integrand depends both on \(\nabla u\) and \(u\) and no convexity assumption is made with respect to the variable \(\nabla u\).
Reviewer: R.Schianchi (Roma)


49J10 Existence theories for free problems in two or more independent variables
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