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Un théorème de Mittag-Leffler sur certains corps valués de rang supérieur à 1

Yvette Feneyrol-Perrin (1983/1984)

Groupe de travail d'analyse ultramétrique

Una demostración del teorema fundamental del álgebra.

José Manuel Bayod (1977)

Gaceta Matemática

Uniform algebras and analytic multifunctions

Zbigniew Slodkowski (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Dati due elementi $f$ e $g$ in un'algebra uniforme $A$ , sia $G=f(M_{A}/f(\partial_{A})$ . Nella presente Nota si danno, fra l’altro, due nuove dimostrazioni elementari del fatto che la funzione $\lambda\to\log\max g(f^{-1}(\lambda))$ è subarmonica su $G$ e che l’applicazione $\lambda\to g(f^{-1}(\lambda))$ è analitica nel senso di Oka.

Unique range sets and uniqueness polynomials in positive characteristic

Ta Thi Hoai An, Julie Tzu-Yueh Wang, Pit-Mann Wong (2003)

Acta Arithmetica

Unique range sets in positive characteristic

Abdelbaki Boutabaa, William Cherry, Alain Escassut (2002)

Acta Arithmetica

Uniqueness polynomials and bi-unique range sets for rational functions and non-Archimedean meromorphic functions

Julie Tzu-Yueh Wang (2002)

Acta Arithmetica

Univalent Harmonic Mappings of Annuli

Abdallah Lyzzaik (2004)

Publications de l'Institut Mathématique

Value distribution problem for $p$ -adic meromorphic functions and their derivatives

Ha Huy Khoai, Vu Hoai An (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

In this paper we discuss the value distribution problem for $p$ -adic meromorphic functions and their derivatives, and prove a generalized version of the Hayman Conjecture for $p$ -adic meromorphic functions.

Weak solutions for elliptic systems with variable growth in Clifford analysis

Yongqiang Fu, Binlin Zhang (2013)

Czechoslovak Mathematical Journal

In this paper we consider the following Dirichlet problem for elliptic systems: $\begin{matrix} \bar{D A (x, u (x), D u (x))} = & B (x, u (x), D u (x)), x \in Ω, u (x) = & 0, x \in \partial Ω, \end{matrix}$ where $D$ is a Dirac operator in Euclidean space, $u (x)$ is defined in a bounded Lipschitz domain $Ω$ in $ℝ^{n}$ and takes value in Clifford algebras. We first introduce variable exponent Sobolev spaces of Clifford-valued functions, then discuss the properties of these spaces and the related operator theory in these spaces. Using the Galerkin method, we obtain the existence of weak solutions to the scalar part of the above-mentioned...