We consider the problem-epsilon(2) Delta(g)u + u = vertical bar u vertical bar(p-2)uin a symmetric Riemannian manifold (M, g). We give a multiplicity result for antisymmetric changing sign solutions.
Ghimenti, M., Micheletti, A. (2010). On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010(special issue 18), 15-22.
On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds
GHIMENTI, MARCO GIPO;
2010
Abstract
We consider the problem-epsilon(2) Delta(g)u + u = vertical bar u vertical bar(p-2)uin a symmetric Riemannian manifold (M, g). We give a multiplicity result for antisymmetric changing sign solutions.
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