Existence of Lipschitzian Solutions to the Classical Problem of the Calculus of Variations in the Autonomous Case
نویسندگان
چکیده
– Under general growth assumptions, that include some cases of linear growth, we prove existence of Lipschitzian solutions to the problem of minimizing ∫ b a L(x(s), x ′(s))ds with the boundary conditions x(a)=A, x(b)= B. 2003 Éditions scientifiques et médicales Elsevier SAS MSC: 49N60; 49J65
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