2 papers
math.AP2024
On the free boundary for thin obstacle problems with Sobolev variable coefficients
Giovanna Andreucci, Matteo Focardi, Emanuele Spadaro
We establish a quasi-monotonicity formula {for an intrinsic frequency function related to solutions to} thin obstacle problems with zero obstacle driven by quadratic energies with…
math.AP2024
On the nonlinear thin obstacle problem
Anna Abbatiello, Giovanna Andreucci, Emanuele Spadaro
The thin obstacle problem or -dimensional Signorini problem is a classical variational problem arising in several applications, starting with its first introduction in elasticit…