On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities
Dolbeault, Jean ; Esteban, Maria J. ; Loss, Michael ; Tarantello, Gabriella
HAL, hal-00402961 / Harvested from HAL
Text on HAL
In this paper we prove some new symmetry results for the extremals of the Caffarelli-Kohn-Nirenberg inequalities, in any dimension larger or equal than two.
Publié le : 2009-07-05
Classification:  Hardy-Sobolev inequality,  Caffarelli-Kohn-Nirenberg inequality,  extremal functions,  Kelvin transformation,  Emden-Fowler transformation,  radial symmetry,  symmetry breaking,  26D10; 46E35; 58E35,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00402961,
     author = {Dolbeault, Jean and Esteban, Maria J. and Loss, Michael and Tarantello, Gabriella},
     title = {On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities},
     journal = {HAL},
     volume = {2009},
     number = {0},
     year = {2009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00402961}
}

Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Tarantello, Gabriella. On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities. HAL, Tome 2009 (2009) no. 0, . http://gdmltest.u-ga.fr/item/hal-00402961/