Abstract
We prove existence of strong solutions of Pucci extremal equations with superlinear growth in Du and unbounded coefficients. We apply this result to establish the weak Harnack inequality for L p -viscosity supersolutions of fully nonlinear uniformly elliptic PDEs with superlinear growth terms with respect to Du.
Original language | English |
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Pages (from-to) | 291-304 |
Number of pages | 14 |
Journal | Journal of Fixed Point Theory and Applications |
Volume | 5 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2009 Aug |
Keywords
- Pucci extremal equation
- Strong solutions
- Viscosity solutions
- Weak Harnack inequality
ASJC Scopus subject areas
- Modelling and Simulation
- Geometry and Topology
- Applied Mathematics