Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point
Volume 38 / 2011
Applicationes Mathematicae 38 (2011), 369-411
MSC: 35J15, 35J25, 35J70, 35B10.
DOI: 10.4064/am38-4-1
Abstract
We investigate the behavior of weak solutions to the nonlocal Robin problem for linear elliptic divergence second order equations in a neighborhood of a boundary corner point. We find an exponent of the solution's decreasing rate under minimal assumptions on the problem coefficients.