In this paper we study solutions, possibly unbounded and sign-changing, of the following
equation-Δ _ λ u=| x| _ λ^ a| u|^ p-1 u\quad in R^ n,-Δ λ u=| x| λ a| u| p-1 u in R n, where n ≥ …

We prove some Liouville properties for sub-and supersolutions of fully nonlinear degenerate
elliptic equations in the whole space. Our assumptions allow the coefficients of the first order …

The aim of this paper is to prove the existence and several selected properties of a global
fundamental Heat kernel Γ for the parabolic operators ℋ=∑ j= 1 m X j 2−∂ t, where X 1,…, X …

This paper studies Liouville properties for viscosity sub-and supersolutions of fully nonlinear
degenerate elliptic PDEs, under the main assumption that the operator has a family of …

We consider in this note one-side Liouville properties for viscosity solutions of various fully
nonlinear uniformly elliptic inequalities, whose prototype is F (x, D2u)≥ Hi (x, u, Du) in RN …

This thesis focuses on qualitative and quantitative aspects of some nonlinear PDEs arising
in optimal control and differential games, ranging from regularity issues to maximum …

We present two Liouville-type results for solutions to anisotropic elliptic equations that have
a growth of power 2 along the first s coordinate directions and of power p, with 1< p< 2 along …

A view on Liouville theorems in PDEs Skip to content Should you have institutional access?
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We present two Liouville-type results for solutions to anisotropic elliptic equations that have
a growth of power 2 along the first s coordinate directions and of power p, with 1< p< 2 along …

We prove weighted L^ p L p-Liouville theorems for a class of second-order hypoelliptic
partial differential operators LL on Lie groups GG whose underlying manifold is n n …