In this paper we study ground states of the following fractional Schrödinger equation where s ∈ (0, 1), N > 2s and f is a continuous function satisfying a suitable growth assumption weaker than the Ambrosetti-Rabinowitz condition. We consider the cases when the potential V (x) is 1-periodic or has a bounded potential well.
Ground states for superlinear fractional Schrödinger equations in RN / Ambrosio, Vincenzo. - In: ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA. - ISSN 1239-629X. - 41:(2016), pp. 745-756. [10.5186/aasfm.2016.4147]
Ground states for superlinear fractional Schrödinger equations in RN
Ambrosio, Vincenzo
2016-01-01
Abstract
In this paper we study ground states of the following fractional Schrödinger equation where s ∈ (0, 1), N > 2s and f is a continuous function satisfying a suitable growth assumption weaker than the Ambrosetti-Rabinowitz condition. We consider the cases when the potential V (x) is 1-periodic or has a bounded potential well.File in questo prodotto:
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