Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5471529 | Applied Mathematics Letters | 2018 | 9 Pages |
Abstract
We establish the global Morrey regularity and continuity results for solutions to nonlinear elliptic equations over bounded nonsmooth domains. The novelty of our contribution is that the principal part of the operator is assumed to be merely asymptotically regular with respect to the gradient of a solution, which means that it behaves like the p-Laplacian operator for large values, while the lower order terms satisfy controlled growth conditions with respect to variables modeled by the functions from Morrey spaces. Our results extend to a larger class of degenerate and singular elliptic equations from by now regular problems in the literature.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Sun-Sig Byun, Jehan Oh,