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This is a Quantitative Study study.

October 2, 2025Open Access

Improved Hölder regularity of fractional $(p,q)$-Poisson equation with regular data

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Authors

ABAnup BiswasIndian Institute of Science Education and Research Pune ASAniket SenWashington University in St. Louis

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Implication

This study demonstrates improved Hölder continuity in viscosity solutions for fractional Poisson equations, suggesting implications for weak solutions.

Key Points

Viscosity solutions exhibit local Hölder continuity under specific conditions related to modulating coefficients.
If certain regularity conditions are met, solutions can be locally Lipschitz continuous in their domain.
This development extends existing results, particularly for cases with Hölder continuous modulating coefficients.
The findings establish equivalence in regularity estimates between viscosity and weak solutions under given constraints.

Cite This Study

Biswas et al. (2025) studied this question.

synapsesocial.com/papers/68de5da783cbc991d0a20d48 https://doi.org/10.48550/arxiv.2507.09920

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Implication

This study demonstrates improved Hölder continuity in viscosity solutions for fractional Poisson equations, suggesting implications for weak solutions.

Improved Hölder regularity of fractional $(p,q)$-Poisson equation with regular data

Discussion

Member takes

Implication

Key Points

Cite This Study

Improved Hölder regularity of fractional $(p,q)$-Poisson equation with regular data

Discussion

Member takes

Implication

Key Points

Cite This Study

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