Competing symmetries, the logarithmic HLS inequality and Onofri's inequality ons n

Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation

Élliott H. Lieb · Studies in Applied Mathematics · 1977 · 1.2K citations

Spectral Theory, Elliptic Equation, Engineering +12

Sharp Constants in the Hardy-Littlewood-Sobolev and Related Inequalities

Élliott H. Lieb · Annals of Mathematics · 1983 · 1K citations

Spectral Theory, Elliptic Equation, Sharp Constants +3

Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality

William Beckner · Annals of Mathematics · 1993 · 694 citations

Integral Geometry, Monge-ampere Equation, Elliptic Equation +11

Extremals of determinants of Laplacians

Brad Osgood, Ralph S. Phillips, Peter Sarnak · Journal of Functional Analysis · 1988 · 496 citations

Spectral Theory, Riemann-hilbert Problem, Engineering +3

On the positivity of the effective action in a theory of random surfaces

E. Onofri · Communications in Mathematical Physics · 1982 · 233 citations · Full text

Physics, Integrable Probability, Random Surfaces +5