Heine-Stieltjes theory and electrostatics

• Grant number: 17/02061-8
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: July 05, 2017
• End date: August 04, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Dimitar Kolev Dimitrov
• Grantee: Dimitar Kolev Dimitrov
• Visiting researcher: Boris Shapiro
• Visiting researcher institution: Stockholm University, Sweden
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Associated research grant: 16/09906-0 - Harmonic analysis, approximation theory and applications, AP.TEM

Abstract

The principal topics of the present project are the Heine-Stieltjes theory concerning the Lamé differential equations and its applications to electrostatics. Problems about analysis of Lamé's equation, as well as questions about the existence and uniqueness of an equilibrium of electrostatics fields of a rather involved nature that obey the law of the logarithmic potential will be studied. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DIMITROV, DIMITAR K.; SHAPIRO, BORIS. Electrostatic Problems with a Rational Constraint and Degenerate Lame Equations. POTENTIAL ANALYSIS, v. 52, n. 4, p. 645-659, APR 2020. (16/09906-0, 17/02061-8)