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January 28, 2026Journal of Elliptic and Parabolic Equations

Hölder continuity for solutions of elliptic partial differential equations of second order

Nicky K. Tumalun

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Key Points

Hölder continuity characterizes solution behavior by ensuring bounded variation near points, enhancing stability.
Key evidence reveals that regular solutions possess a Hölder exponent, indicating smoothness in their structure.
The analysis involves elliptic partial differential equations of second order, focusing on the boundary conditions.
Findings highlight the importance of Hölder continuity in ensuring regular behavior across various regions.

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Implication

Analysis establishes Hölder continuity of solutions in elliptic partial differential equations, suggesting improved regularity.

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Cite This Study

Nicky K. Tumalun (2026) studied this question.

synapsesocial.com/papers/69a75a73c6e9836116a2049a https://doi.org/10.1007/s41808-026-00438-8

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