Details

Autor(en) / Beteiligte

• Liu, Zhisu
• Squassina, Marco
• Zhang, Jianjun

Titel

Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension

Ist Teil von

• Nonlinear differential equations and applications, 2017-08, Vol.24 (4), Article 50

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2017

Link zum Volltext

Quelle

SpringerLink (Online service)

Beschreibungen/Notizen

• We study the existence of ground states to a nonlinear fractional Kirchhoff equation with an external potential V . Under suitable assumptions on V , using the monotonicity trick and the profile decomposition, we prove the existence of ground states. In particular, the nonlinearity does not satisfy the Ambrosetti–Rabinowitz type condition or monotonicity assumptions.