Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg interpolation inequalities associated with Coulomb-Sobolev spaces
DOI10.1016/j.jfa.2022.109662zbMath1496.26022arXiv2110.13198OpenAlexW4289937445MaRDI QIDQ2170655
Arka Mallick, Hoai-Minh Nguyen
Publication date: 6 September 2022
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.13198
Caffarelli-Kohn-Nirenberg inequalityGagliardo-Nirenberg inequalityCoulomb-Sobolev inequalityHardy-Lieb-Thirring inequality
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maximizers for Gagliardo-Nirenberg inequalities and related non-local problems
- Hardy type inequalities in \(L^{p}\) with sharp remainders
- Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency
- Some inequalities related to Sobolev norms
- On a new class of functions related to VMO
- Nonlinear ground state representations and sharp Hardy inequalities
- Relativistic stability of matter. I
- The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
- Product rule and chain rule estimates for fractional derivatives on spaces that satisfy the doubling condition
- Non-local functionals related to the total variation and connections with image processing
- Fractional Caffarelli-Kohn-Nirenberg inequalities
- Solutions of Hartree-Fock equations for Coulomb systems
- On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
- On Hardy and Caffarelli-Kohn-Nirenberg inequalities
- Lieb-Thirring bounds for interacting Bose gases
- Caffarelli-Kohn-Nirenberg type inequalities of fractional order with applications
- Further characterizations of Sobolev spaces
- Some new characterizations of Sobolev spaces
- A new characterization of Sobolev spaces
- Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces
- Ulteriori proprieta di alcune classi di funzioni in piu variabili
- \(H^p\) spaces of several variables
- EXISTENCE OF STEADY STATES FOR THE MAXWELL–SCHRÖDINGER–POISSON SYSTEM: EXPLORING THE APPLICABILITY OF THE CONCENTRATION–COMPACTNESS PRINCIPLE
- Extremal functions for Caffarelli—Kohn—Nirenberg and logarithmic Hardy inequalities
- Thomas-fermi and related theories of atoms and molecules
- The Stability of Matter in Quantum Mechanics
- Some remarks on Hartree equation
- Stability of Matter. II
- Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces
- Partial regularity of suitable weak solutions of the navier-stokes equations
- Exponential integrability in the spirit of Moser-Trudinger's inequalities of functions with finite non-local, non-convex energy
- From atoms to crystals: a mathematical journey
- On the thermodynamic limit for Hartree-Fock type models
- Fractional Hardy-Lieb-Thirring and related inequalities for interacting systems
This page was built for publication: Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg interpolation inequalities associated with Coulomb-Sobolev spaces