Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands (Q581835)
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scientific article; zbMATH DE number 4129509
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands |
scientific article; zbMATH DE number 4129509 |
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Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands (English)
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1989
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The solutions of the Lagrange problem of the calculus of variations \[ \min \{\int^{b}_{a}f(u,u')dt:u(a)=\alpha,\quad u(b)=\beta \} \] are shown to be Lipschitz continuous under very mild assumptions on f. Examples showing the sharpness of the theorem are given. The proof relies upon a weak form of the Dubois-Reymond equation.
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Lagrange problem
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