On the regularity of solutions to fully nonlinear elliptic equations via the Liouville property
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- by Qingbo Huang PDF
- Proc. Amer. Math. Soc. 130 (2002), 1955-1959 Request permission
Abstract:
We show that any $C^{1,1}$ solution to the uniformly elliptic equation $F(D^{2}u)=0$ must belong to $C^{2,\alpha }$, if the equation has the Liouville property.References
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Additional Information
- Qingbo Huang
- Affiliation: Department of Mathematics, University of Texas at Austin, Austin, Texas 78712
- Address at time of publication: Department of Mathematics & Statistics, Wright State University, Dayton, Ohio 45435
- Email: qhuang@math.utexas.edu, qhuang@math.wright.edu
- Received by editor(s): September 20, 1999
- Published electronically: February 8, 2002
- Communicated by: David S. Tartakoff
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 1955-1959
- MSC (2000): Primary 35J60; Secondary 35B65
- DOI: https://doi.org/10.1090/S0002-9939-02-06503-6
- MathSciNet review: 1896027