Existence and nonexistence results for critical growth fractional elliptic systems

Fengshuang Gao () and Yuxia Guo ()
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Fengshuang Gao: Tsinghua University
Yuxia Guo: Tsinghua University

Partial Differential Equations and Applications, 2021, vol. 2, issue 1, 1-12

Abstract: Abstract In this note, we consider a gradient type fractional elliptic system with critical exponents. Under suitable conditions on the nonlinear term and coefficients, we establish existence and nonexistence of nontrivial solutions for such a system.

Keywords: Existence and nonexistence; Critical exponent; Fractional system; Primary; 35J20 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-020-00055-7

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