Moser-Trudinger inequality in grand Lebesgue space

  • Robert Černý

    Charles University, Prague, Czech Republic

Abstract

Let and let be a bounded domain. We study sharp constants for the Moser-Trudinger inequality in the Sobolev-type space , where is so called grand space introduced in [9]. In particular, we obtain our results with respect to two quantities introduced in [8].

Cite this article

Robert Černý, Moser-Trudinger inequality in grand Lebesgue space. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 26 (2015), no. 2, pp. 177–188

DOI 10.4171/RLM/701