A Multiplicity Result for the Scalar Field Equation

نویسنده

  • KANISHKA PERERA
چکیده

Abstract We obtain N − 1 pairs of nontrivial solutions of the scalar field equation in R under a slow decay condition on the potential, without any symmetry assumptions. To overcome the difficulties arising from the lack of compactness, we use the concentration compactness principle of Lions expressed as a suitable profile decomposition for critical sequences. This is a joint work with Cyril Tintarev (Uppsala University, Sweden).

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تاریخ انتشار 2013