Multiple of Solutions for Nonlocal Elliptic Equations with Critical Exponent Driven by the Fractional p-Laplacian of Order s

Author

Khiddi, M.

Source

Abstract and Applied Analysis

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-05-28

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

In this paper, we study the existence of infinitely many weak solutions for nonlocal elliptic equations with critical exponent driven by the fractional p-Laplacian of order s.

We show the above result when λ>0 is small enough.

We achieve our goal by making use of variational methods, more specifically, the Nehari Manifold and Lusternik-Schnirelmann theory.

American Psychological Association (APA)

Khiddi, M.. 2019. Multiple of Solutions for Nonlocal Elliptic Equations with Critical Exponent Driven by the Fractional p-Laplacian of Order s. Abstract and Applied Analysis،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1114489

Modern Language Association (MLA)

Khiddi, M.. Multiple of Solutions for Nonlocal Elliptic Equations with Critical Exponent Driven by the Fractional p-Laplacian of Order s. Abstract and Applied Analysis No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1114489

American Medical Association (AMA)

Khiddi, M.. Multiple of Solutions for Nonlocal Elliptic Equations with Critical Exponent Driven by the Fractional p-Laplacian of Order s. Abstract and Applied Analysis. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1114489

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1114489