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math.APOct 31, 2014
80
citations (OpenAlex)
authors
  • Gyula Csato
  • Prosenjit Roy
institutions
  • Tata Institute of Fundamental Research
arXiv abstractPDF
paper

Extremal Functions for the Singular Moser-Trudinger Inequality in 2 Dimensions

arXiv:1410.8638 · doi:10.1007/s00526-015-0867-5

Abstract

In this article we prove the existence of an extremal function for a singular Moser-Trudinger inequality, due to Adimurthi- Sandeep, in 2 dimensions.

References in corpus (1)

  • Critical points of the Moser-Trudinger functional on a disk

Cited by in corpus (11)

  • Extremal Functions for Singular Moser-Trudinger Embeddings
  • The singular Moser- Trudger Inequality on simply connected domains
  • Extremal function for Moser-Trudinger type Inequality with Logarithmic weight
  • Extremal functions for singular Trudinger-Moser inequalities in the entire Euclidean space
  • A singular Moser-Trudinger inequality for mean value zero functions in dimension two
  • Extremal functions for a singular Hardy-Moser-Trudinger inequality
  • A Trudinger-Moser inequality for conical metric in the unit ball
  • Blow-up analysis concerning singular Trudinger-Moser inequalities in dimension two
  • The Trudinger type inequality in fractional boundary Hardy inequality
  • Anisotropic Moser-Trudinger inequality involving Ln norm
  • On the isoperimetric problem with perimeter density r^p
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