In this paper we apply the fibering method of Pohozaev and the notion of extremal values introduced by Il’yasov to a Schrödinger—Poisson system, with prescribed L2 norm of the unknown, in the whole ℝ3. The method makes clear the role played by the special exponents p = 3, p = 8/3, p = 10/3. In addition to showing that old results can be obtained in a unified way, we exhibit also new ones.
On the structure of the Nehari set associated to a Schrödinger-Poisson system with prescribed mass: old and new results
Siciliano G.
;
2023-01-01
Abstract
In this paper we apply the fibering method of Pohozaev and the notion of extremal values introduced by Il’yasov to a Schrödinger—Poisson system, with prescribed L2 norm of the unknown, in the whole ℝ3. The method makes clear the role played by the special exponents p = 3, p = 8/3, p = 10/3. In addition to showing that old results can be obtained in a unified way, we exhibit also new ones.File in questo prodotto:
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