The Euler equation for a class of nonconvex problems.

Buttazzo, Giuseppe; Faina, Loris

Displaying similar documents to “The Euler equation for a class of nonconvex problems.”

Potential theory of quasiminimizers.

Kinnunen, Juha, Martio, Olli (2003)

Annales Academiae Scientiarum Fennicae. Mathematica

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Lower semicontinuity of multiple $μ$ -quasiconvex integrals

Ilaria Fragalà (2003)

ESAIM: Control, Optimisation and Calculus of Variations

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Lower semicontinuity results are obtained for multiple integrals of the kind $\int_{ℝ^{n}} f (x, \nabla_{μ} u) d μ$ , where $μ$ is a given positive measure on $ℝ^{n}$ , and the vector-valued function $u$ belongs to the Sobolev space $H_{μ}^{1, p} (ℝ^{n}, ℝ^{m})$ associated with $μ$ . The proofs are essentially based on blow-up techniques, and a significant role is played therein by the concepts of tangent space and of tangent measures to $μ$ . More precisely, for fully general $μ$ , a notion of quasiconvexity for $f$ along the tangent bundle to $μ$ , turns out to be necessary...

On measure differential inclusions in optimal control theory.

Brandi, Primo, Salvadori, Anna (1998)

Rendiconti del Seminario Matematico

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Functionals with linear growth in the calculus of variations. I.

Mariano Giaquinta, Giuseppe Modica, Jiří Souček (1979)

Commentationes Mathematicae Universitatis Carolinae

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Two-scale convergence with respect to measures in continuum mechanics

Vala, Jiří

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Displaying similar documents to “The Euler equation for a class of nonconvex problems.”

Potential theory of quasiminimizers.

Lower semicontinuity of multiple μ -quasiconvex integrals

On measure differential inclusions in optimal control theory.

Functionals with linear growth in the calculus of variations. I.

Two-scale convergence with respect to measures in continuum mechanics

Lower semicontinuity of multiple $μ$ -quasiconvex integrals