On the removability of isolated singularities for degenerating higher-order elliptic equations in divergence form

Abstract

We prove a Serrin-like removability condition of the isolated singularities for solutions of a class of high-order elliptic equations in divergence form whose coefficients satisfy a weighted polynomial growth condition and a weighted ellipticity condition.

Keywords:

• nonlinear higher order elliptic equation
• degenerated equations
• Muckenhoupt class
• removable isolated singularities
• Moser method

AMS Subject Classifications::

• 35J30
• 35J70
• 35B60