In this paper we prove, using a duality method, existence of solutions for the nonlinear elliptic mean field games type system {equation presented}, under different assumptions on p > 1, and the function f(x) in Lebesgue spaces.

THE DUALITY METHOD FOR MEAN FIELD GAMES SYSTEMS / Boccardo, L.; Orsina, L.. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 21:4(2022), pp. 1343-1360. [10.3934/cpaa.2022021]

THE DUALITY METHOD FOR MEAN FIELD GAMES SYSTEMS

Boccardo L.;Orsina L.
2022

Abstract

In this paper we prove, using a duality method, existence of solutions for the nonlinear elliptic mean field games type system {equation presented}, under different assumptions on p > 1, and the function f(x) in Lebesgue spaces.
2022
elliptic systems; maximum principle; mean field games; Quasilinear elliptic equations
01 Pubblicazione su rivista::01a Articolo in rivista
THE DUALITY METHOD FOR MEAN FIELD GAMES SYSTEMS / Boccardo, L.; Orsina, L.. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 21:4(2022), pp. 1343-1360. [10.3934/cpaa.2022021]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1739261
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