Fundamental solutions and properties of elliptic maximal and minimal
operators
Alexander Quaas
Universidad Santa Maria
Departamento de Matematica
email: alexander.quaas@usm.cl
Abstract: For a large class of nonlinear second order elliptic
differential operators, we define a concept of dimension, upon which we
construct a fundamental solution. This allows to find critical exponents for
equations and systems with power nonlinearity and for the removability of
singularities.