Minimization to the Zhang's energy on BV(Ω) and sharp affine Poincaré-Sobolev inequalities

Leite, Edir Junior Ferreira; Montenegro, Marcos

doi:10.1016/j.jfa.2022.109646

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Cited by 7 publications

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“…(see page 194 of [14]) as well as (3) being unyielding on non-spherical ellipsoid features. In addition, Zhang said that the Petty projection inequality (e.g.…”

Section: Introductionmentioning

confidence: 99%

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

Salih¹

2023

JAMP

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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.

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“…(see page 194 of [14]) as well as (3) being unyielding on non-spherical ellipsoid features. In addition, Zhang said that the Petty projection inequality (e.g.…”

Section: Introductionmentioning

confidence: 99%

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

Salih¹

2023

JAMP

View full text Add to dashboard Cite

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Towards existence theorems to affine p-Laplace equations via variational approach

Leite,

Montenegro

2024

Calc. Var.

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The Affine Convex Lorentz–Sobolev Inequalities

Li,

Zhu

2023

J Geom Anal

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Minimization to the Zhang's energy on BV(Ω) and sharp affine Poincaré-Sobolev inequalities

Cited by 7 publications

References 46 publications

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

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

Towards existence theorems to affine p-Laplace equations via variational approach

The Affine Convex Lorentz–Sobolev Inequalities

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Minimization to the Zhang's energy on BV(Ω) and sharp affine Poincaré-Sobolev inequalities

Cited by 7 publications

References 46 publications

A Note on Sharp Affine Poincar&#233;-Sobolev Inequalities and Exact in Minimization of Zhang’s Energy on Bounded Variation and Exactness

A Note on Sharp Affine Poincar&#233;-Sobolev Inequalities and Exact in Minimization of Zhang’s Energy on Bounded Variation and Exactness

Towards existence theorems to affine p-Laplace equations via variational approach

The Affine Convex Lorentz–Sobolev Inequalities

Contact Info

Product

Resources

About

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

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