Fully Nonlinear Elliptic Equations on General Domains
Copyright policy )Fully Nonlinear Elliptic Equations on General Domains
AbstractBy means of the Pucci operator, we construct a function u0, which plays an essential role in our considerations, and give the existence and regularity theorems for the bounded viscosity solutions of the generalized Dirichlet problems of second order fully nonlinear elliptic equations on the general bounded domains, which may be irregular. The approximation method, the accretive operator technique and the Caffarelli's perturbation theory are used.
viscosity solution, Regularity of generalized solutions of PDE, Pucci operator, Dini condition, Existence of generalized solutions of PDE, Nonlinear elliptic equations, Boundary values of solutions to elliptic equations and elliptic systems, general domain
viscosity solution, Regularity of generalized solutions of PDE, Pucci operator, Dini condition, Existence of generalized solutions of PDE, Nonlinear elliptic equations, Boundary values of solutions to elliptic equations and elliptic systems, general domain
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