4.5 Article

RADIAL SYMMETRY OF MINIMAX CRITICAL POINTS FOR NONSMOOTH FUNCTIONALS

Journal

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
Volume 13, Issue 3, Pages 487-508

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219199711004361

Keywords

Nonsmooth critical point theory; minimax theorems; polarization; abstract symmetrization; Schwarz symmetrization; quasi-linear elliptic equations

Funding

  1. Italian PRIN

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We obtain the existence of radially symmetric and decreasing solutions to a general class of quasi-linear elliptic problems by a nonsmooth version of a symmetric minimax principle recently obtained by Van Schaftingen.

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