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John Bravo

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Articles

On Milnor’s Criterion for Deciding Whether a Surface is Hyperbolic or Parabolic for Biharmonic Functions

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By John Bravo, Jean C. Cortissoz
| Taylor & Francis Online
Abstract In 1977, John Milnor established a celebrated and nearly sharp criterion describing how curvature controls the existence of nonconstant bounded harmonic functions on R2 equipped with a rotationally symmetric metric. Biharmonic functions, natural higher-order analogues of harmonic functions and fundamental in elasticity theory and slow fluid flow, also exhibit a very rich behavior, yet no counterpart to Milnor’s theorem has been known.
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SENATOR: 2026 EDUCATION BUDGET TO FOCUS ON HUMAN DEVELOPMENT

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By Dang Garcia, John Bravo
| thepost.net.ph
SENATOR Sherwin Gatchalian on Monday said the proposed 2026 education budget will be anchored on strategic investments aimed at developing the Filipino people, with emphasis on early childhood learning, literacy, and teacher quality. “My commitment to an education budget for fiscal year 2026 focuses on strategic investments in developing the Filipino people,” Gatchalian said.
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Anniversary of GDPR: Is it still relevant 7 years on?

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By John Bravo
| Tech News Tube
Tech News Tube is a real time news feed of the latest technology news headlines.Follow all of the top tech sites in one place, on the web or your mobile device.
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Awards

National Magazine Award

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