Abstract
If we leave out of consideration some works by H. Poincaré, E. Picard, and E. Le Roy, relating to equations of particular type, then the date of initiation of the modern theory of nonlinear elliptic equations of the second order can be fixed at 1900. In that year, in fact, at the International Congress of Paris, D. Hilbert stated his conjecture that every solution of an analytic elliptic equation is analytic.
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© 1970 Springer-Verlag Berlin · Heidelberg
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Miranda, C. (1970). Nonlinear equations. In: Partial Differential Equations of Elliptic Type. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87773-5_6
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DOI: https://doi.org/10.1007/978-3-642-87773-5_6
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