97 citations · 198 across the 28 of their papers we have counts for
30 papers · 1 filter
Generic configurations in 2D strongly competing systems
Flavia Lanzara, Eugenio Montefusco, Vincenzo Nesi +1
We study a problem modelling segregation of an arbitrary number of competing species in planar domains. The solutions give rise to a well known free boundary problem with the domai…
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…
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…
On the Read-Shockley energy for grain boundaries in poly-crystals
Adriana Garroni, Martino Fortuna, Emanuele Spadaro
In the 50's Read and Shockley proposed a formula for the energy of small angle grain boundaries in polycrystals based on linearised elasticity and an ansazt on the distribution of…
Two slope functions minimizing fractional seminorms and applications to misfit dislocations
Lucia De Luca, Marcello Ponsiglione, Emanuele Spadaro
We consider periodic piecewise affine functions, defined on the real line, with two given slopes and prescribed length scale of the regions where the slope is negative. We prove th…
Regularity of solutions to nonlinear thin and boundary obstacle problems
Luca Di Fazio, Emanuele Spadaro
Variational inequalities with thin obstacles and Signorini-type boundary conditions are classical problems in the calculus of variations, arising in numerous applications. In the l…