2 papers
math.AP2025
Stability of complement value problems for -Lévy operators
Guy Foghem
We set up a general framework tailor-made to solve complement value problems governed by symmetric nonlinear integrodifferential -Lévy operators. A prototypical example of inte…
math.AP2024
Nonlocal Gagliardo-Nirenberg-Sobolev type inequality
Guy Foghem
We establish Gagliardo-Nirenberg-Sobolev type inequalities on nonlocal Sobolev spaces driven by -Lévy integrable kernels, by imposing some appropriate growth conditions on the…