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arXiv · 1012.5670

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

Marco G. Ghimenti·Anna Maria Micheletti
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Abstract

We consider the problem -ε^2Δ_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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Marco G. Ghimenti, Anna Maria Micheletti. 2010-12-27. On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds. https://arxiv.org/abs/1012.5670

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