Nonlinear Schrodinger equations with symmetric multi-polar potentials

Details Nonlinear Schrodinger equations with symmetric multi-polar potentials Nonlinear Schrodinger equations with symmetric multi-polar potentials

2005-06-24

arxiv.org/abs/math/0506504v1

Mathematics

Analysis of PDEs

Scientific paper

This paper deals with a class of nonlinear elliptic equations involving a critical power-nonlinearity as well as a potential featuring multiple inverse square singularities. When the poles form a symmetric structure, it is natural we wonder how the symmetry affects such mutual interaction. The present paper means to study this aspect from the point of view of the existence of solutions inheriting the same symmetry properties as the set of singularities.

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