On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds
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Publication:2785984
zbMath1198.35088arXiv1012.5670MaRDI QIDQ2785984
Marco Ghimenti, Anna Maria Micheletti
Publication date: 16 September 2010
Full work available at URL: https://arxiv.org/abs/1012.5670
Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Variational methods for second-order elliptic equations (35J20) Topological and monotonicity methods applied to PDEs (35A16)
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Existence of \(\tau\)-antisymmetric solutions for a system in \(\mathbb{R}^N\) ⋮ Solutions to a singularly perturbed supercritical elliptic equation on a Riemannian manifold concentrating at a submanifold ⋮ Generic properties of critical points of the scalar curvature for a Riemannian manifold
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