2 papers
math.AP2026
Strong maximum principle for nonlocal diffusion in measure spaces: new characterization and population dynamics applications
Ana Casado-Sanchez, Monica Molina-Becerra, Antonio Suarez
We study the existence of nontrivial solutions to nonlocal semilinear diffusion equations of the form \[ a_0(x)u(x)-\int_Ωk(x,y)\big(u(y)-u(x)\big)\,dμ(y)=F(x,u), \quad u\geq 0, \]…
math.AP2023
Generalized eigenvalue problem for an interface elliptic equation
Braulio B. V. Maia, Mónica Molina-Becerra, Cristian Morales-Rodrigo +1
In this paper we deal with an eigenvalue problem in an interface elliptic equation. We characterize the set of principal eigenvalues as a level set of a concave and regular functio…