CALCULUS OF VARIATIONS, PARTIAL DIFFERENTIAL EQUATIONS, AND GEOMETRY

@inproceedings{Bethuel2011CALCULUSOV,
  title={CALCULUS OF VARIATIONS, PARTIAL DIFFERENTIAL EQUATIONS, AND GEOMETRY},
  author={Fabrice Bethuel},
  year={2011}
}
  • Fabrice Bethuel
  • Published 2011
The purpose of this chapter is to illustrate on elementary and classical examples the strong interaction between geometry, calculus of variations and the analysis of partial differential equations. We will show in particular that partial differential equations can be used to solve problems of geometrical nature, and that some partial differential equations, introduced first as models in physics present some truly geometrical features, which in turn may lead to unexpected solutions to problems… CONTINUE READING

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