The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents

Author

Khiddi, M.

Source

Abstract and Applied Analysis

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-03-03

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

Via the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev-Hardy exponent is proved.

This result extends several recent results on the topic.

American Psychological Association (APA)

Khiddi, M.. 2019. The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents. Abstract and Applied Analysis،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1114488

Modern Language Association (MLA)

Khiddi, M.. The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents. Abstract and Applied Analysis No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1114488

American Medical Association (AMA)

Khiddi, M.. The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents. Abstract and Applied Analysis. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1114488

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1114488