Topological Methods for Variational Problems with Symmetries
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Symmetry has a strong impact on the number and shape of solutions to variational problems. This has been observed, for instance, in the search for periodic solutions of Hamiltonian systems or of the nonlinear wave equation| when one is interested in elliptic equations on symmetric domains or in the corresponding semiflows| and when one is looking for “special” solutions of these problems.
Symmetry has a strong impact on the number and shape of solutions to variational problems. This has been observed, for instance, in the search for periodic solutions of Hamiltonian systems or of the nonlinear wave equation| when one is interested in elliptic equations on symmetric domains or in the corresponding semiflows| and when one is looking for “special” solutions of these problems.
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