A weighted W-2,W-p-a priori bound for a class of elliptic operators

作者：Monsurro Sara^*; Transirico Maria

来源：Journal of Inequalities and Applications, 2013, 2013(1): 263.

DOI：10.1186/1029-242X-2013-263

• elliptic equations
• discontinuous coefficients
• a priori bounds
• weighted Sobolev spaces

We prove a weighted W-2,W-p-a priori bound, p %26gt; 1, for a class of uniformly elliptic second-order differential operators on unbounded domains. We deduce a uniqueness and existence result for the solution of the related Dirichlet problem.

• 出版日期2013