E. Gselmann

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20242026

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math.CA2024

Characterizations of second-order differential operators

WÅodzimierz Fechner, Eszter Gselmann, Aleksandra ÅwiÄ tczak

{Let $N, k$ be positive integers with $k \geq 2$ , and $I^c ◯ \subset R^{N}$ be a domain.} By the well-known properties of the Laplacian and the gradient, we have \[ Î(f\cdot g…

math.NT2024

A functional equation for monomial functions

Eszter Gselmann, Mehak Iqbal

Let $F \subset K$ be fields with characteristic zero, $n$ be a positive integer and $I^º \in K$ . In this paper, we determine those monomials $f\colon \mathb…