Sharp Rellich-Sobolev inequalities and weighted Adams inequalities involving Hardy terms for bi-Laplacian
From MaRDI portal
Publication:2201756
DOI10.1016/j.na.2020.112068zbMath1462.46037OpenAlexW3046662220MaRDI QIDQ2201756
Xing Ma, Su Dan, Qiao-Hua Yang
Publication date: 17 September 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2020.112068
Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for second-order elliptic equations (35J20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp Moser-Trudinger inequalities on Riemannian manifolds with negative curvature
- An interpolation of Hardy inequality and Moser-Trudinger inequality on Riemannian manifolds with negative curvature
- Best constants and existence of maximizers for weighted Trudinger-Moser inequalities
- A sharp Trudinger-Moser inequality on any bounded and convex planar domain
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Best constants in the Hardy-Rellich inequalities and related improvements
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- A sharp inequality of J. Moser for higher order derivatives
- Sharp constants in the Hardy-Rellich inequalities
- Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension
- Weighted Moser-Onofri-Beckner and logarithmic Sobolev inequalities
- Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions
- Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- Best constants for Sobolev inequalities for higher order fractional derivatives
- Singular Hardy-Trudinger-Moser inequality and the existence of extremals on the unit disc
- Trudinger-Moser inequality on the whole plane with the exact growth condition
- Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities
- Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four
- Improved Hardy-Adams inequality on hyperbolic space of dimension four
- A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument
- Critical exponents and critical dimensions of polyharmonic operators
- Trudinger-Moser Inequalities with the Exact Growth Condition in ℝNand Applications
- Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
- A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$
- Adams' Inequality with the Exact Growth Condition in ℝ4
This page was built for publication: Sharp Rellich-Sobolev inequalities and weighted Adams inequalities involving Hardy terms for bi-Laplacian