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Abstract We prove a global weighted Lorentz and Lorentz–Morrey estimates of the viscosity solutions to the Dirichlet problem for fully nonlinear elliptic equation defined in a bounded domain. The oscillation… Click to show full abstract
Abstract We prove a global weighted Lorentz and Lorentz–Morrey estimates of the viscosity solutions to the Dirichlet problem for fully nonlinear elliptic equation defined in a bounded domain. The oscillation of nonlinearity F with respect to x is assumed to be small in the -sense. Here, we employ the Lorentz boundedness of the Hardy–Littlewood maximal operators and an equivalent representation of weighted Lorentz norm.
Keywords:
estimates viscosity;
morrey estimates;
lorentz morrey;
weighted lorentz;
lorentz lorentz;
viscosity solutions
Journal Title: Complex Variables and Elliptic Equations
Year Published: 2018
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Journal Title: Complex Variables and Elliptic Equations
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!