Research output: Chapter in Book/Report/Conference proceedingConference contribution


The paper discusses minimizing of certain equations. The problem of minimizing an integral subject to given boundary conditions, with a bounded open set and competing functions is discussed. Frequently it is possible to use the direct method of the calculus of variations to establish the existence of a minimizer u in an appropriate Sobolev space. Then formally it is expected that u satisfies the weak form of the Euler-Lagrange equiations, but a search of the literature reveals that in general the theorems quaranteeing this make stronger growth assumptions on f than are necessary to prove existence.

Original languageEnglish
Title of host publicationLecture Notes in Physics
Number of pages4
Publication statusPublished - 1984

Fingerprint Dive into the research topics of 'MINIMIZERS AND THE EULER-LAGRANGE EQUATIONS.'. Together they form a unique fingerprint.

  • Cite this

    Ball, J. M. (1984). MINIMIZERS AND THE EULER-LAGRANGE EQUATIONS. In Lecture Notes in Physics (195 ed., pp. 1-4)