Some Nonlinear Elliptic Equations Have Only Constant Solutions

By Haim, Brezis, Li, Yanyan. Journal of Partial Differential Equations, 2006

51 citations recorded by the source corpus.

We study some nonlinear elliptic equations on compact Riemannian manifolds. Our main concern is to flnd conditions which imply that such equations

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/427b28be2107b9f6399e5c8095fa697ae727fbc4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Jean Dolbeault
2. Maria J. Esteban
3. Michael Loss
4. Van Hoang Nguyen
5. Monica Musso
6. Manuel del Pino
7. Angela Pistoia

In Mathematical Physics

1. Maria J. Esteban
2. Michael Loss
3. Jean Dolbeault
4. José Antonio Carrillo
5. Robert Seiringer
6. Elliott H. Lieb
7. Monica Musso
8. Benoit Perthame

In Statistical and Nonlinear Physics

1. Michael Loss
2. Jean Dolbeault

Citations in the corpus

• Nonlinear flows and rigidity results on compact manifolds (2013, background): “Incidentally, such a minimization provides a non constant nonnegative solution of (1) (see [23, 37]).”