The regularity of generalized solutions of degenerate nonlinear higher order elliptic systems

Abstract

In this article, we shall study Hölder regularity of weak solutions to the system of Equations (1.1). To this aim, we estimate the oscillation of solutions in a generic ball B(y, ρ), such that B(y, ρ) ⊂ Ω by ρ and a constant depending on known parameters and on d(y, ∂Ω).

Keywords:

• Hölder regularity
• weighted Sobolev spaces

AMS Subject Classifications:

• 35J40
• 35J70
• 35B35