Abstract
The principal theme of these lectures is “the existence and differentiability of the solutions of variational problems involving multiple integrals.” I shall discuss the corresponding questions for single integrals only very briefly since these have been adequately discussed in every book on the calculus of variations (see, for instance, Akhiezer [1], Bliss [1], Bolza [1], Caratheodory [2], Funk [1], Pars [1]. Moreover, I shall not discuss applications to engineering, physics, etc., at all, although I shall mention some mathematical applications.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Introduction. In: Multiple Integrals in the Calculus of Variations. Grundlehren der mathematischen Wissenschaften, vol 130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69952-1_1
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DOI: https://doi.org/10.1007/978-3-540-69952-1_1
Publisher Name: Springer, Berlin, Heidelberg
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