Abstract.
We prove under quite general assumptions the existence of a bounded positive solution to the semilinear Schrödinger equation in a two-dimensional exterior domain.
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Yin, Z. Bounded Positive Solutions of Schrödinger Equations in Two-Dimensional Exterior Domains. Monatsh. Math. 141, 337–344 (2004). https://doi.org/10.1007/s00605-003-0050-5
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DOI: https://doi.org/10.1007/s00605-003-0050-5