A global regularity result for some degenerate elliptic systems

作者：Fattorusso Luisa; Bisci Giovanni Molica^*; Tarsia Antonio

来源：Nonlinear Analysis-Theory Methods & Applications, 2015, 125: 54-66.

DOI：10.1016/j.na.2015.04.014

• Caccioppoli's inequality
• Schauder's estimates
• L-q regularity

We establish a Caccioppoli-type inequality for a second-order degenerate elliptic systems of p-Laplacian type. As a direct consequence, exploiting classical Campanato's approach and the hole-filling technique due to Widman, we are able to prove a global regularity result on Morrey's and L-q spaces, with q > p.

• 出版日期2015-9