A note on one-dimensional symmetry for Hamilton–Jacobi equations with extremal Pucci operators and application to Bernstein type estimate

Author:

Fuentes RodrigoORCID,Quaas Alexander

Funder

ANID

FONDECYT

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference28 articles.

1. Armstrong, S.N., Tran, H.V.: Viscosity solutions of general viscous Hamilton–Jacobi equations. Math. Ann. 361, 647–687 (2015)

2. Barles, G.: A weak Bernstein method for fully non-linear elliptic equations. Differ. Integral Equ. 4(2), 241–262 (1991)

3. Barles, G.: Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein’s method

4. Berestycki, H., Caffarelli, L. A., Nirenberg, L.: Further qualitative properties for elliptic equations in unbounded domains. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 25(1–2), 69–94 (1998)

5. Berestycki, H., Caffarelli, L., Nirenberg, L.: Symmetry for elliptic equations in a half-space In: Lions, J.L. et al. (eds.), Boundary Value Problems for Partial Differential Equations and Applications, RMA Res. Notes Appl. Math., vol. 29, Masson, Paris, pp. 27–42 (1993)

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