Integrability for solutions to quasilinear elliptic systems

Commentationes mathematicae Universitatis Carolinae

Francesco Leonetti¹ 

关键词: level set;    integrability;    solution;    quasilinear;    elliptic;    system;   

DOI  :  

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

In this paper we prove an estimate for the measure of superlevel sets of weak solutions to quasilinear elliptic systems in divergence form. In some special cases, such an estimate allows us to improve on the integrability of the solution.

【 授权许可】

CC BY