Examples of twice differentiable functions with continuous Laplacian and unbounded Hessian

• Pan, Yifei ^[1] ; Yan, Yu ^[2]
  1. [1] Purdue University

     Purdue University

     Township of Wabash, Estados Unidos

     
  2. [2] Biola University

     Biola University

     Estados Unidos

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 75, Fasc. 2, 2024, págs. 453-479
• Idioma: inglés
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• Resumen

  • We construct examples of twice differentiable functions in with continuous Laplacian and unbounded Hessian. The same construction is also applicable to higher order differentiability.