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

Fares Kamache;Rafik Guefaifia;Salah Boulaaras;Asma Alharbi;Kamache, Fares;Guefaifia, Rafik;Boulaaras, Salah;Alharbi, Asma;
Mathematics 2020 Vol. 8 pp. 475-
160
kamache2020mathematicsexistence

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

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DOI:
10.3390/math8040475
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https://www.mdpi.com/2227-7390/8/4/475/htm

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ID: 268518
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