Related references
Note: Only part of the references are listed.Generalized Logarithmic Hardy-Littlewood-Sobolev Inequality
Jean Dolbeault et al.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES (2021)
UNIQUENESS AND RADIAL SYMMETRY OF MINIMIZERS FOR A NONLOCAL VARIATIONAL PROBLEM
Orlando Lopes
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS (2019)
UNIVERSAL DYNAMICS FOR THE DEFOCUSING LOGARITHMIC SCHRODINGER EQUATION
Remi Carles et al.
DUKE MATHEMATICAL JOURNAL (2018)
Stability Results for Logarithmic Sobolev and Gagliardo-Nirenberg Inequalities
Jean Dolbeault et al.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES (2016)
On the planar Schrodinger-Poisson system
Silvia Cingolani et al.
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE (2016)
The Moser-Trudinger-Onofri Inequality
Jean Dolbeault et al.
CHINESE ANNALS OF MATHEMATICS SERIES B (2015)
ON THE LOGARITHMIC SCHRODINGER EQUATION
Pietro D'Avenia et al.
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS (2014)
Asymptotic Estimates for the Parabolic-Elliptic Keller-Segel Model in the Plane
Juan F. Campos et al.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2014)
Sobolev and Hardy-Littlewood-Sobolev inequalities
Jean Dolbeault et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2014)
A functional framework for the Keller-Segel system: Logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities
Jean Dolbeault et al.
COMPTES RENDUS MATHEMATIQUE (2012)
Scaling properties of functionals and existence of constrained minimizers
Jacopo Bellazzini et al.
JOURNAL OF FUNCTIONAL ANALYSIS (2011)
On a rigorous interpretation of the quantum Schrodinger-Langevin operator in bounded domains with applications
Jose Luis Lopez et al.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2011)
SOBOLEV AND HARDY-LITTLEWOOD-SOBOLEV INEQUALITIES: DUALITY AND FAST DIFFUSION
Jean Dolbeault
MATHEMATICAL RESEARCH LETTERS (2011)
Hardy-Littlewood-Sobolev inequalities via fast diffusion flows
Eric A. Carlen et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2010)
Asymptotic decay estimates for the repulsive Schrodinger-Poisson system
O Sánchez et al.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2004)
Optimal critical mass in the two dimensional Keller-Segel model in R2
J Dolbeault et al.
COMPTES RENDUS MATHEMATIQUE (2004)
On a Vlasov-Schrodinger-Poisson model
N Ben Abdallah et al.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2004)
A short proof of the Concavity of entropy power
C Villani
IEEE TRANSACTIONS ON INFORMATION THEORY (2000)