On bound state solutions for certain nonlinear Schrödinger equations |
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Authors: | Efinger H J Grosse H |
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Institution: | (1) Institut für Mathematik, Universität Salzburg, Salzburg, Austria;(2) Institut für Theoretische Physik, Universität Wien, Vienna, Austria |
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Abstract: | We show that techniques suitable for studying the bound state problem for the linear Schrödinger equation are also applicable to certain nonlinear generalizations. A sufficient condition for the absence of bound states and a family of lower bounds on the eigenvalues are derived. |
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