3 papers
math.AP2026
Regularity of solutions to degenerate and singular free boundary problems with volume constraint
T. M. Nascimento, X. H. Nguyen, P. R. Stinga
We prove existence and regularity of solutions to degenerate and singular elliptic free boundary problems, where the volume of the positivity set of the solution is prescribed.
cond-mat.mtrl-sci2026
Bond failure in peridynamics: Nonequivalence of critical stretch and critical energy density criteria
Pablo Seleson, Pablo Raúl Stinga, Mary Vaughan
This paper rigorously analyzes bond failure in the peridynamic theory of solid mechanics, which is a fundamental component of fracture modeling. We compare analytically and numeric…
math.AP2025
Interior Schauder estimates for fractional elliptic equations in nondivergence form
P. R. Stinga, M. Vaughan
We obtain sharp interior Schauder estimates for solutions to nonlocal Poisson problems driven by fractional powers of nondivergence form elliptic operators $(-a^{ij}(x) \partial_{i…