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arXiv · 1612.07914

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

Zhisu Liu·Marco Squassina·Jianjun Zhang
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Abstract

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.

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Zhisu Liu, Marco Squassina, Jianjun Zhang. 2016-12-23. Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension. https://arxiv.org/abs/1612.07914

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