Na Cui, Hong-Rui Sun
Abstract:
This article concerns the critical fractional p-Laplacian equation
with indefinite weights
where
,
and
, the weight functions g
may be indefinite, and h changes sign. Specifically, based on the results of
asymptotic estimates for an extremal in the fractional Sobolev inequality and
the discrete spectrum of fractional p-Laplacian operator, we establish
an existence criterion for a nontrivial solution to this problem.
Submitted April 1, 2020. Published March 5, 2021.
Math Subject Classifications: 35R11, 35J92, 35B33.
Key Words: Fractional p-Laplacian; critical exponent; indefinite weight.
DOI: https://doi.org/10.58997/ejde.2021.11
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Na Cui School of Mathematics and Statistics Lanzhou University Lanzhou, Gansu 730000, China email: cuin17@lzu.edu.cn |
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Hong-Rui Sun School of Mathematics and Statistics Lanzhou University Lanzhou, Gansu 730000, China email: hrsun@lzu.edu.cn |
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