Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces for radial functions

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functional inequalities, including subadditivity, convexity, etc. (39B62) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

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Hitchhiker's guide to the fractional Sobolev spaces
Maximizers for Gagliardo-Nirenberg inequalities and related non-local problems
Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency
Some inequalities related to Sobolev norms
On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
Sharp lower bounds for Coulomb energy
One-dimensional representation, inversion, and certain properties of the Riesz potentials of radial functions
The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
Existence of solitary waves in higher dimensions
Gagliardo-Nirenberg inequalities and non-inequalities: the full story
Symmetry breaking for an elliptic equation involving the fractional Laplacian.
Fractional Caffarelli-Kohn-Nirenberg inequalities
Solutions of Hartree-Fock equations for Coulomb systems
Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg interpolation inequalities associated with Coulomb-Sobolev spaces
On Hardy and Caffarelli-Kohn-Nirenberg inequalities
Ulteriori proprieta di alcune classi di funzioni in piu variabili
EXISTENCE OF STEADY STATES FOR THE MAXWELL–SCHRÖDINGER–POISSON SYSTEM: EXPLORING THE APPLICABILITY OF THE CONCENTRATION–COMPACTNESS PRINCIPLE
Some remarks on Hartree equation
Thomas-fermi and related theories of atoms and molecules
Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces
Partial regularity of suitable weak solutions of the navier-stokes equations
SOBOLEV INEQUALITIES WITH SYMMETRY
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
The Caffarelli-Kohn-Nirenberg inequalities for radial functions
Compact embeddings for fractional super and sub harmonic functions with radial symmetry

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