The Hölder Quasicontinuity for Riesz-Morrey Potentials and Lane-Emden Equations
This paper has been withdrawn.
math.AP↗
arXiv subjects
David R. Adams
Publications and source records attributed to David R. Adams.
Singularities of Nonlinear Elliptic Systems
Through Morrey's spaces (plus Zorko's spaces) and their potentials/capacities as well as Hausdorff contents/dimensions, this paper estimates the singular sets of nonlinear elliptic systems of the even-ordered Meyers-Elcrat type and a class of quadratic functionals inducing harmonic maps.
math.AP↗
Singular operators with antisymmetric kernels, related capacities, and Wolff potentials
We consider a generalization of the Riesz operator in $R^d$ and obtain estimates for its norm and for related capacities via the modified Wolff potential. These estimates are based on the certain version of $T1$ theorem for Calderón-Zygmund operators in metric spaces. We extend two versions of Calderón-Zygmund capacities in $R^d$ to metric spaces and establish their equivalence (under certain conditions). As an application, we extend the known relations between $s$-Riesz capacities, $0<s<d$, and the capacities in Nonlinear Potential Theory, to the case $s=0$.
math.CA↗