By Enrico Giusti
This publication presents a complete dialogue at the lifestyles and regularity of minima of standard integrals within the calculus of diversifications and of suggestions to elliptic partial differential equations and platforms of the second one order. whereas direct equipment for the lifestyles of options are popular and feature been customary within the final century, the regularity of the minima was once continuously got via the Euler equation as part of the overall conception of partial differential equations. during this publication, utilizing the proposal of the quasi-minimum brought through Giaquinta and the writer, the direct tools are prolonged to the regularity of the minima of functionals within the calculus of diversifications, and of suggestions to partial differential equations. This unified therapy bargains a considerable economic climate within the assumptions, and allows a deeper realizing of the character of the regularity and singularities of the recommendations. The ebook is basically self-contained, and calls for just a basic wisdom of the weather of Lebesgue integration thought.
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