$${\mathcal {C}}^{1, \gamma } $$ regularity for singular or degenerate fully nonlinear equations and applications

Author:

Birindelli Isabeau,Demengel Françoise,Leoni FabianaORCID

Funder

Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference19 articles.

1. Birindelli, I., Demengel, F.: First eigenvalue and maximum principle for fully nonlinear singular operators. Adv. Differ. Equ. 11(1), 91–119 (2006)

2. Birindelli, I., Demengel, F.: Regularity and uniqueness of the first eigenfunction for singular fully nonlinear operators. J. Differ. Equ. 249(5), 1089–1110 (2010)

3. Birindelli, I., Demengel, F.: $${{\cal{C}}}^{1,\beta }$$ regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations. ESAIM: Control Optim. Calc. Var. 20(4), 1009–1024 (2014)

4. Birindelli, I., Demengel, F.: Fully nonlinear operators with Hamiltonian: Hölder regularity of the gradient. NoDEA Nonlinear Differ. Equ. Appl. 23(4), 41 (2016)

5. Birindelli, I., Demengel, F.: Hölder regularity of the gradient for solutions of fully nonlinear equations with sub linear first order term. In: Citti, G., Manfredini, M., Morbidelli, D., Polidoro, S., Uguzzoni, F. (eds.) Geometric Methods in PDE?s.Springer INdAM Series, vol. 13, pp. 257–268. Springer, Cham (2015)

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