English

On monotonicity of some functionals with variable exponent under symmetrization

Optimization and Control 2017-11-17 v1 Analysis of PDEs

Abstract

We give necessary and sufficient conditions for the P\'olya--Szeg\"o type inequality with variable exponent of summability.

Keywords

Cite

@article{arxiv.1711.05841,
  title  = {On monotonicity of some functionals with variable exponent under symmetrization},
  author = {S. Bankevich and A. I. Nazarov},
  journal= {arXiv preprint arXiv:1711.05841},
  year   = {2017}
}

Comments

12 pages

R2 v1 2026-06-22T22:47:32.058Z