Singularly perturbed elliptic equations with symmetry by Ambrosetti A., Malchiodi A., Ni W.-M.

By Ambrosetti A., Malchiodi A., Ni W.-M.

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Extra resources for Singularly perturbed elliptic equations with symmetry existence of solutions concentrating on spheres

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A. and A. M. are supported by MURST, under the project Variational Methods and Nonlinear Differential Equations. N. is partially supported by the National Science Foundation. The authors wish to thank some institutions for the hospitality and support. A. M. A. : Homoclinics: Poincar´e-Melnikov type results via a variational approach. Ann. Inst. H. Poincar´e Analyse Non Lin´eaire 15, 233-252 (1998). : Variational perturbative methods and bifurcation of bound states from the essential spectrum. Proc.

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Phys. 131, 223-253 (1990). : Semilinear Neumann boundary value problems on a rectangle. Trans. Amer. Math. Soc. 354, no. 8, 3117–3154 (2002). : Existence of solitary waves in higher dimensions, Comm. Math. Phys. 55, 149-162 (1977). : The Chemical Basis of Morphogenesis, Phil. Trans. Royal Soc. London, Series B, Biological Sciences, 237, 37-72 (1952). : Mean Curvature Flows in Higher Codimension, preprint, 2002. : On concentration of positive bound states of nonlinear Schr¨ odinger equations, Comm.

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