Symmetry of minimizers of some fractional problems

Abstract

We establish the existence and symmetry of all minimizers of a constrained variational problem involving the fractional gradient. This problem is closely connected to some fractional kinetic equations.

Keywords:

• symmetry; fractional; minimization

AMS Subject Classifications:

• 35P15
• 35R11

Acknowledgements

The author would like to thank NPST, the National Plan of Technology and Science ( King Saud University) for its support through the Project Number Mat 1716.