Existence of Weak Solutions for a New Class of Fractional p -Laplacian Boundary Value Systems

Fares Kamache, Rafik Guefaifia, Salah Boulaaras and Asma Alharbi
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Fares Kamache: Laboratory of Mathematics, Informatics and systemes (LAMIS), University of Larbi Tebessi, 12000 Tebessa, Algeria
Rafik Guefaifia: Laboratory of Mathematics, Informatics and systemes (LAMIS), University of Larbi Tebessi, 12000 Tebessa, Algeria
Salah Boulaaras: Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, 51452 Qassim, Saudi Arabia
Asma Alharbi: Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, 51452 Qassim, Saudi Arabia

Mathematics, 2020, vol. 8, issue 4, 1-18

Abstract: In this paper, at least three weak solutions were obtained for a new class of dual non-linear dual-Laplace systems according to two parameters by using variational methods combined with a critical point theory due to Bonano and Marano. Two examples are given to illustrate our main results applications.

Keywords: nonlinear fractional; dirichlet boundary value problems; p -Laplacian type; variational method; critical point theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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