Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity - UTU Tutkimustietojärjestelmä

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Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity

Tekijät: Mikyoung Lee

Kustantaja: World Scientific Publishing Co. Pte Ltd

Julkaisuvuosi: 2019

Journal: Communications in Contemporary Mathematics

Tietokannassa oleva lehden nimi: Communications in Contemporary Mathematics

Artikkelin numero: 1850024

Vuosikerta: 21

Numero: 4

Sivujen määrä: 19

ISSN: 0219-1997

eISSN: 1793-6683

DOI: https://doi.org/10.1142/S0219199718500244

Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/32049425

Tiivistelmä

We
prove interior Hessian estimates in the setting of weighted Orlicz
spaces for viscosity solutions of fully nonlinear, uniformly elliptic
equations F(D²u,x)=f(x)in B₁under asymptotic assumptions on the nonlinear operator F. The results are further extended to fully nonlinear, asymptotically elliptic equations.

Ladattava julkaisu

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(Final version) CCM-Mikyoung-Lee-Fully-nonlinear-equations.pdf