Abstract
So far, we have just dealt with linear problems and the wealth of different situations was only based on the possibility of varying the elliptic operator, the boundary conditions and the number of dimensions involved in the equations. We will see now that Nirenberg’s technique is also particularly appropriate in dealing with nonlinear partial differential equations, as those arising from Euler-Lagrange equations of non-quadratic functionals.
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© 2018 Scuola Normale Superiore Pisa
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Ambrosio, L., Carlotto, A., Massaccesi, A. (2018). Interior regularity for nonlinear equations. In: Lectures on Elliptic Partial Differential Equations. Publications of the Scuola Normale Superiore, vol 18. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-651-3_3
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DOI: https://doi.org/10.1007/978-88-7642-651-3_3
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Publisher Name: Edizioni della Normale, Pisa
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Online ISBN: 978-88-7642-651-3
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