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Positive solutions of singularly perturbed nonlinear elliptic problem on Riemannian manifolds with boundary
Positive solutions of singularly perturbed nonlinear elliptic Riemannian manifolds boundary
2011/2/28
Let (M, g) be a smooth connected compact Riemannian manifold of finite dimension n ≥ 2 with a smooth boundary @M. We consider the problem −"2gu + u = |u|p−2u, u > 0 on M, @u @= 0 on @M w...