JournalszaaVol. 44, No. 1/2pp. 17–34

The variable exponent compound boundary value problem for Liapunov open curve

  • Fuli He

    Central South University, Changsha, P. R. China

  • Shuai Wang

    Central South University, Changsha, P. R. China
The variable exponent compound boundary value problem for Liapunov open curve cover
Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

In this paper, we study the compound boundary value problem for a class of Cauchy-type integrals with density in variable exponent space. Based on the Smirnov theorem for multi-connected domains and the elimination method, we transform the compound boundary value problem of open curve into that of closed curve. The solvable condition and the explicit solution are obtained by the elimination method.

Cite this article

Fuli He, Shuai Wang, The variable exponent compound boundary value problem for Liapunov open curve. Z. Anal. Anwend. 44 (2025), no. 1/2, pp. 17–34

DOI 10.4171/ZAA/1784