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September 10, 2025Electronic Journal of Differential EquationsOpen Access

Holder regularity of weak solutions to nonlocal p-Laplacian type Schrodinger equations with A_1^p-Muckenhoupt potentials

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YKYong‐Cheol KimKorea Institute for Advanced Study

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Implication

This article demonstrates Holder continuity in weak solutions to nonlocal schrodinger equations, suggesting potential applications in mathematical physics.

Key Points

Weak solutions exhibit Holder continuity for nonlocal p-laplacian type schrodinger equations, confirming regularity.
Using the De Giorgi-Nash-Moser method, the study finds weak solutions are locally bounded under specific potentials.
A logarithmic estimate for weak supersolutions is obtained, which is crucial for establishing Holder regularity.
The findings extend to nonnegative potentials in the Muckenhoupt class, enhancing the applicability of the results.

Cite This Study

Yong‐Cheol Kim (2025) studied this question.

synapsesocial.com/papers/68c1c32754b1d3bfb60f12dd https://doi.org/10.58997/ejde.2025.83

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Implication

This article demonstrates Holder continuity in weak solutions to nonlocal schrodinger equations, suggesting potential applications in mathematical physics.

Holder regularity of weak solutions to nonlocal p-Laplacian type Schrodinger equations with A_1^p-Muckenhoupt potentials

Discussion

Member takes

Implication

Key Points

Cite This Study

Holder regularity of weak solutions to nonlocal p-Laplacian type Schrodinger equations with A_1^p-Muckenhoupt potentials

Discussion

Member takes

Implication

Key Points

Cite This Study

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