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- W2069920060 abstract "In this paper we study the existence and qualitative property of standing wave solutions for the nonlinear Schrödinger equation . Let . For any integer k ≥ 1, we prove existence of standing wave solutions with u > 0 having k local maximum points and concentrating near a given local maximum point of Γ when ε is small. The potentials V and K are allowed to be either vanishing or unbounded at infinity. Existence of solutions concentrating near k distinct non-degenerate critical points of Γ has been proved under the same assumptions on V and K as well." @default.
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- W2069920060 date "2009-12-22" @default.
- W2069920060 modified "2023-09-23" @default.
- W2069920060 title "Semi-Classical Bound States for Schrödinger Equations with Potentials Vanishing or Unbounded at Infinity" @default.
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- W2069920060 doi "https://doi.org/10.1080/03605300903346721" @default.
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