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Standing waves with prescribed mass for Schrodinger equations with competing Van Der Waals type potentials

Autor: Yao, Shuai, Hajaiej, Hichem, Sun, Juntao

We investigate standing waves with prescribed mass for a class of Schrodinger equations with competing Van Der Waals type potentials, arising in a model of non-relativistic bosonic atoms and molecules. By developing an approach based on a direct mini

Externí odkaz: http://arxiv.org/abs/2408.01686

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Existence and dynamical behaviour of vectorial standing waves with prescribed mass for Hartree-Fock type systems

Autor: Yao, Shuai, Sun, Juntao, Wu, Tsung-fang

In this paper, we investigate vectorial standing waves with prescribed mass for the Hartree-Fock type system (HF system) with the double coupled feature. Such system is viewed as an approximation of the Coulomb system with two particles appeared in q

Externí odkaz: http://arxiv.org/abs/2405.04084

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The planar Schrodinger--Poisson system with exponential critical growth: The local well-posedness and standing waves with prescribed mass

Autor: Sun, Juntao, Yao, Shuai, Zhang, Jian

In this paper, we investigate a class of planar Schr\"{o}dinger-Poisson systems with critical exponential growth. We establish conditions for the local well-posedness of the Cauchy problem in the energy space, which seems innovative as it was not dis

Externí odkaz: http://arxiv.org/abs/2305.00159

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