| Abstract: |
| The purpose of the talk is to prove the existence of a solution to the obstacle problem involving the $p$-Laplacian operator, in a setting where the reaction term is singular at zero and exhibits strong discontinuities. Notably, no restriction is placed on the discontinuity set having zero Lebesgue measure. Lastly, it is shown that the solution lies in the space $C^{1, \alpha}$ outside the contact set. |
|