Methods of the calculus of variations applied to problems in geometry and classical continuum mechanics often lead to elliptic PDE that are not linear. We discuss a number of examples and some of the developments that have arisen to treat such problems.
CITATION STYLE
Taylor, M. E. (2011). Nonlinear elliptic equations. In Applied Mathematical Sciences (Switzerland) (Vol. 117, pp. 105–311). Springer. https://doi.org/10.1007/978-1-4419-7049-7_2
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