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In mathematics, a normalized solution to an ordinary or partial differential equation is a solution with prescribed norm, that is, a solution which satisfies a condition like ∫ R N | u ( x ) | 2 d x = 1. {\displaystyle \int _{\mathbb {R} ^{N}}|u(x)|^{2}\,dx=1.} In this article, the normalized solution is introduced by using the nonlinear Schrödinger…
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displaystyle normalized solutions equation functional nonlinear schrödinger mathbb equations prescribed solution variational palais-smale sequence following critical methods bounded partial differential
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