Electrostatic fields due to distributions of electrons
Ends of varieties
Equality cases for condenser capacity inequalities under symmetrization
It is well known that certain transformations decrease the capacity of a condenser. We prove equality statements for the condenser capacity inequalities under symmetrization and polarization without connectivity restrictions on the condenser and without regularity assumptions on the boundary of the condenser.
Equality cases in the symmetrization inequalities for Brownian transition functions and Dirichlet heat kernels.
Espaces de Dirichlet et capacités fonctionnelles sur des triplets de Hilbert Schmidt
Estimates for the Green function and existence of positive solutions for higher-order elliptic equations.
Estimates of Green functions and harmonic measures for elliptic operators with singular drift terms.
Existence and geometric properties of solutions of a free boundary problem in potential theory.
Extremal length of vector measures.
Extremal plurisubharmonic functions and invariant pseudodistances
Extremal plurisubharmonic functions in