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In this paper we study the existence and orbital stability of ground states for logarithmic Schrodinger equation under a constant magnetic field. For this purpose we establish the well-posedness of… Click to show full abstract
In this paper we study the existence and orbital stability of ground states for logarithmic Schrodinger equation under a constant magnetic field. For this purpose we establish the well-posedness of the Cauchy Problem in a magnetic Sobolev space and an appropriate Orlicz space. Then we show the existence of ground state solutions via a constrained minimization on the Nehari manifold. We also show that the ground state is orbitally stable.
Keywords:
magnetic field;
equation;
stability;
standing waves;
stability standing
Journal Title: Communications on Pure and Applied Analysis
Year Published: 2017
Link to full text (if available)
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Journal Title: Communications on Pure and Applied Analysis
Year Published: 2017
Link to full text (if available)
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recommendations!