In this note, we prove C1,γ regularity for solutions of some fully nonlinear degenerate elliptic equations with “superlinear” and “subquadratic” Hamiltonian terms. As an application, we complete the results of Birindelli et al. (ESAIM Control Optim Calc Var, 2019. https://doi.org/10.1051/cocv/2018070) concerning the associated ergodic problem, proving, among other facts, the uniqueness, up to constants, of the ergodic function.

C1,γ regularity for singular or degenerate fully nonlinear equations and applications / Birindelli, I.; Demengel, F.; Leoni, F.. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 26:5(2019). [10.1007/s00030-019-0586-2]

C1,γ regularity for singular or degenerate fully nonlinear equations and applications

Birindelli I.;Leoni F.
2019

Abstract

In this note, we prove C1,γ regularity for solutions of some fully nonlinear degenerate elliptic equations with “superlinear” and “subquadratic” Hamiltonian terms. As an application, we complete the results of Birindelli et al. (ESAIM Control Optim Calc Var, 2019. https://doi.org/10.1051/cocv/2018070) concerning the associated ergodic problem, proving, among other facts, the uniqueness, up to constants, of the ergodic function.
2019
Degenerate elliptic equations; regularity of solutions; singular elliptic equations; uniqueness of ergodic function
01 Pubblicazione su rivista::01a Articolo in rivista
C1,γ regularity for singular or degenerate fully nonlinear equations and applications / Birindelli, I.; Demengel, F.; Leoni, F.. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 26:5(2019). [10.1007/s00030-019-0586-2]
File allegati a questo prodotto
File Dimensione Formato  
Birindelli_C1,γ-regularity_2019.pdf

solo gestori archivio

Note: https://link.springer.com/article/10.1007/s00030-019-0586-2
Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 376.06 kB
Formato Adobe PDF
376.06 kB Adobe PDF   Contatta l'autore
Birindelli_preprint_C1,γ-regularity_2019.pdf

accesso aperto

Tipologia: Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza: Creative commons
Dimensione 161.8 kB
Formato Adobe PDF
161.8 kB Adobe PDF

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1344123
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 10
social impact