Jia‐Lu Du, Ting‐Ting Dai, Zeng‐Qi Ou, Ying Lv

Semiclassical states for fractional Schrödinger equations with critical nonlinearities

  • General Engineering
  • General Mathematics
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In this paper, we consider the following fractional Schrödinger equation where is a parameter, is the fractional Laplacian and is a superlinear and subcritical nonlinearity. Under a local condition imposed on the potential function, combining the penalization method and the concentration‐compactness principle, we prove the existence of a positive solution for the above equation.

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