Gap phenomenon for some autonomous functionals.
Alberti, Giovanni, Majer, Pietro (1994)
Journal of Convex Analysis
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Alberti, Giovanni, Majer, Pietro (1994)
Journal of Convex Analysis
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Rendiconti del Seminario Matematico della Università di Padova
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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.
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