| Abstract: |
| This talk addresses the regularity theory for elliptic double phase problems with measure data. We begin by providing a brief overview of the historical development of existence and regularity results for elliptic problems with measure data. The main focus of this presentation will then shift to the precise conditions on the range of exponents that are crucial for establishing regularity in double phase problems with measure data. We will heuristically demonstrate the optimality of this exponent range through a scaling argument. This work represents a significant step towards understanding the regularity of solutions to this class of challenging problems, and is a joint work with Dr. Song at KIAS. |
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