In this paper we study standing wave solutions arising from the nonlinear Schrodinger equation [GRAPHICS] It is known that the peak of the ground state approaches an absolute mini/-mum point of the potential V. Here we prove that if the absolute minimum value of V is achieved at more than one point, then the ground state concentrates where the potential V is flatter.
Locating the peak of ground states of nonlinear Schrodinger equations / Grossi, Massimo; Pistoia, Angela. - In: HOUSTON JOURNAL OF MATHEMATICS. - ISSN 0362-1588. - 31:(2005), pp. 621-635.
Locating the peak of ground states of nonlinear Schrodinger equations
GROSSI, Massimo;PISTOIA, Angela
2005
Abstract
In this paper we study standing wave solutions arising from the nonlinear Schrodinger equation [GRAPHICS] It is known that the peak of the ground state approaches an absolute mini/-mum point of the potential V. Here we prove that if the absolute minimum value of V is achieved at more than one point, then the ground state concentrates where the potential V is flatter.File allegati a questo prodotto
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