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HARNACK INEQUALITY AND HYPERBOLICITY FOR SUBELLIPTIC p-LAPLACIANS WITH APPLICATIONS TO PICARD TYPE THEOREMS
HARNACK INEQUALITY HYPERBOLICITY
2015/8/26
Let M be a complete non-compact Riemannian manifold. For p ∈ (1,+∞),
let Δp be the p-Laplace operator on M. One says that M is p-hyperbolic
if there exists a Green function for Δp (see [Ho1,2]); oth...
The Harnack inequality and related properties for solutions to elliptic and parabolic equations with divergence-free lower-order coefficients
The Harnack inequality related properties elliptic
2010/11/15
We discuss the problem how "bad" may be lower-order coefficients in elliptic and parabolic second order equations to ensure some qualitative properties of solution such as strong maximum principle, H...