Affiliation:
1. Università Campus Bio-Medico di Roma , Via Alvaro del Portillo 21, 00128 Roma , Italy
Abstract
Abstract
We study the existence of measure-valued solutions for a class of degenerate elliptic equations with measure data. The notion of solution is natural, since it is obtained by a regularization procedure which also relies on a standard approximation of the datum μ.
We provide partial uniqueness results and qualitative properties of the constructed solutions concerning, in particular, the structure of their diffuse part with respect to the harmonic-capacity.
Subject
General Mathematics,Statistical and Nonlinear Physics
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