On the Existence of Nodal Solutions for a Nonlinear Elliptic Problem on Symmetric Riemannian Manifolds

Anna Maria Micheletti and Angela Pistoia

International Journal of Differential Equations, 2010, vol. 2010, 1-11

Abstract:

Given that ( ð ‘€ , ð ‘” ) is a smooth compact and symmetric Riemannian ð ‘› -manifold, ð ‘› ≥ 2 , we prove a multiplicity result for antisymmetric sign changing solutions of the problem − 𠜀 2 Δ ð ‘” ð ‘¢ + ð ‘¢ = | ð ‘¢ | ð ‘ âˆ’ 2 ð ‘¢ in ð ‘€ . Here ð ‘ > 2 if ð ‘› = 2 and 2 < ð ‘ < 2 ∗ = 2 ð ‘› / ( ð ‘› − 2 ) if ð ‘› ≥ 3 .

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:432759

DOI: 10.1155/2010/432759

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