Abstract
This note dedicated to Ermanno Lanconelli reports on some research in collaboration with Fabiana Leoni (Sapienza Università di Roma) and Antonio Vitolo (Università di Salerno) on viscosity solutions of elliptic partial differential equations of the form
In the first part I will discuss local gradient estimates for non-negative solutions of (1) in the spirit of a 2005 paper by Yan Yan Li and Louis Nirenberg. The second part of the note focuses on entire solutions of (1) with semilinear term f satisfying a Keller-Osserman type integrability condition.
Dedicated to Ermanno Lanconelli on the occasion of his 70th birthday, with sympathy and esteem
AMS Classification: Primary: 35J60, Secondary: 35J70
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Capuzzo Dolcetta, I. (2015). A Few Recent Results on Fully Nonlinear PDE’s. In: Citti, G., Manfredini, M., Morbidelli, D., Polidoro, S., Uguzzoni, F. (eds) Geometric Methods in PDE’s. Springer INdAM Series, vol 13. Springer, Cham. https://doi.org/10.1007/978-3-319-02666-4_13
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