Article citationsMore>>

Bobkov, S.G. and Houdré, C. (1997) Some Connections between Isoperimetric and Sobolev-Type Inequalities. Vol. 616, American Mathematical Soc.

has been cited by the following article:

• TITLE: A Note on Sharp Affine Poincaré-Sobolev Inequalities and Exact in Minimization of Zhang’s Energy on Bounded Variation and Exactness

  AUTHORS: Salih Yousuf Mohamed Salih

  KEYWORDS: Affine Energy, Affine Sobolev Inequality, Compactness of Affine Immersion, Constrained Minimization

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.3, March 30, 2023

  ABSTRACT: As for the affine energy, Edir Junior and Ferreira Leite establish the existence of minimizers for particular restricted subcritical and critical variational issues on BV(Ω). Similar functionals exhibit deeper weak* topological traits including lower semicontinuity and affine compactness, and their geometry is non-coercive. Our work also proves the result that extremal functions exist for certain affine Poincaré-Sobolev inequalities.