Abstract and Applied Analysis

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

M. Khiddi

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2019 (2019), Article ID 6021293, 10 pages.

Dates
Received: 13 November 2018
Accepted: 27 January 2019
First available in Project Euclid: 16 May 2019

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1557972333

Digital Object Identifier
doi:10.1155/2019/6021293

Mathematical Reviews number (MathSciNet)
MR3924106

Zentralblatt MATH identifier
07054491

Citation

Khiddi, M. The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents. Abstr. Appl. Anal. 2019 (2019), Article ID 6021293, 10 pages. doi:10.1155/2019/6021293. https://projecteuclid.org/euclid.aaa/1557972333


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