On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds

Anna Maria Micheletti; Marco G. Ghimenti

arxiv: 1012.5670 · v1 · pith:HTFPSHFYnew · submitted 2010-12-27 · 🧮 math.AP

On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds

Marco G. Ghimenti , Anna Maria Micheletti This is my paper

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keywords problemriemanniansolutionssymmetricantisymmetricchangingconsiderdelta

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We consider the problem -{\epsilon}^2\Delta_gu+u = |u|^{p-2}u in M, where (M,g) is a symmetric Riemannian manifold. We give a multiplicity result for antisymmetric changing sign solutions.

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On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds

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