Add to ORKGIn this paper, we establish weak continuity results for quasilinear elliptic and subelliptic operators of divergence form, acting on corresponding classes of subharmonic functions. These results are analogous to our earlier results for fully nonlinear k-Hessian operators. From the weak continuity, we derive various potential theoretic results including capacity estimates, potential estimates and the Wiener criterion for regular boundary points. Our methods make substantial use of Harnack inequalities for solutions
AbstractWe consider weak solutions of second order nonlinear elliptic systems in divergence form und...
AbstractAn extension of the lower-bound lemma of Boggio is given for the weak forms of certain ellip...
We consider Schrödinger operators H = -Δ/2 + V (V≥0 and locally bounded) with Dirichlet boundary con...
On the weak continuity of elliptic operators and applications to potential theor
We develop a potential theory approach for some degenerate parabolic operators in non-divergence fo...
This paper treats quasilinear elliptic equations in divergence form whose inhomogeneous term is a s...
We consider a class of hypoelliptic second-order operators L in divergence form, arising from CR geo...
Abstract. Let f : R ! R be a continuous function. It is shown that under certain assumptions on f an...
We consider a class of hypoelliptic second-order operators L in divergence form, arising from CR geo...
This paper is concerned with the regularity of weak solutions to the general nonlinear sub-elliptic ...
In this paper, we consider a class of degenerate-elliptic linear operators L in quasi- divergence fo...
In this paper we deal with a uniformly elliptic operator of the kind: Lu Au + Vu, where the princip...
AbstractWe prove maximum and comparison principles for weak distributional solutions of quasilinear,...
AbstractWe consider weak solutions of second order nonlinear elliptic systems in divergence form und...
AbstractAn extension of the lower-bound lemma of Boggio is given for the weak forms of certain ellip...
We consider Schrödinger operators H = -Δ/2 + V (V≥0 and locally bounded) with Dirichlet boundary con...
On the weak continuity of elliptic operators and applications to potential theor
We develop a potential theory approach for some degenerate parabolic operators in non-divergence fo...
This paper treats quasilinear elliptic equations in divergence form whose inhomogeneous term is a s...
We consider a class of hypoelliptic second-order operators L in divergence form, arising from CR geo...
Abstract. Let f : R ! R be a continuous function. It is shown that under certain assumptions on f an...
We consider a class of hypoelliptic second-order operators L in divergence form, arising from CR geo...
This paper is concerned with the regularity of weak solutions to the general nonlinear sub-elliptic ...
In this paper, we consider a class of degenerate-elliptic linear operators L in quasi- divergence fo...
In this paper we deal with a uniformly elliptic operator of the kind: Lu Au + Vu, where the princip...
AbstractWe prove maximum and comparison principles for weak distributional solutions of quasilinear,...
AbstractWe consider weak solutions of second order nonlinear elliptic systems in divergence form und...
AbstractAn extension of the lower-bound lemma of Boggio is given for the weak forms of certain ellip...
We consider Schrödinger operators H = -Δ/2 + V (V≥0 and locally bounded) with Dirichlet boundary con...