Existence of solutions of fractional p-Laplacian systems with different critical Sobolev-Hardy exponents

In this paper, we investigate a fractional p-Laplacian system with different critical Sobolev-Hardy exponents. By variational methods and the Mountain-Pass lemma, positive minimizers of the related best Sobolev constants and the existence of positive solutions of the system are found. © 2020 John Wiley & Sons, Ltd.

Authors
Nyamoradi N. 1 , Kirane M. 2, 3, 4
Journal
Mathematical Methods in the Applied Sciences
Publisher
John Wiley and Sons Ltd
Language
English
State
Published
Link
External link
DOI
10.1002/MMA.6691
Year
2020
Organizations
  • 1 Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah, Iran
  • 2 LaSIE, Pôle Sciences et Technologies, Université de La Rochelle, La Rochelle, France
  • 3 NAAM Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
  • 4 Peoples' Friendship University of Russia(RUDN University), Moscow, Russian Federation
Keywords
fractional p-Laplacian operators; mountain-pass lemma; solutions; variational method
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