March 5, 2024NonlinearityOpen Access

Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy

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Hölder regularity estimates for viscosity solutions are established, indicating robust behavior under degeneracies.
We find that viscosity solutions exist in Hölder spaces, specifically showing that at least one solution belongs to specific classes.
The analysis focuses on fully nonlinear integro-differential equations in both degenerate and singular contexts for comprehensive insights into their properties and behavior over time. May enable further developments in mathematical analysis and applied areas such as physics and engineering.

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Analysis of viscosity solutions reveals Hölder regularity in degenerate and singular settings, suggesting broader applications.

Andrade et al. (2024) studied this question.

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