Advanced Nonlinear Studies (Aug 2020)

Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev Growth

  • Lu Guozhen,
  • Shen Yansheng

DOI
https://doi.org/10.1515/ans-2020-2098
Journal volume & issue
Vol. 20, no. 3
pp. 579 – 597

Abstract

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In this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth:

Keywords