Finding critical points whose polarization is also a critical point

zbMath1283.35023arXiv1108.6217MaRDI QIDQ388653

Marco Squassina, Jean Van Schaftingen

Publication date: 3 January 2014

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.6217

zbMATH Keywords

symmetrizationpolarizationnon-smooth critical point theorymountain pass lemmageneral minimax principalsymmetry of solutions of semi-linear elliptic PDEs

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (2)

Local minimizers in spaces of symmetric functions and applications ⋮ Existence of groundstates for a class of nonlinear Choquard equations

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