Non semicontinuous quadratic integral functionals with continuous coefficients

Fausto Acanfora; Stefano Mortola

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Minimization of functional with integrand expressed as minimum of quasiconvex functions - general and special cases

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We present Z. Naniewicz method of optimization a coercive integral functional 𝒥 with integrand being a minimum of quasiconvex functions. This method is applied to the minimization of functional with integrand expressed as a minimum of two quadratic functions. This is done by approximating the original nonconvex problem by appropriate convex ones.