The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent

Yanbin Sang; Xiaorong Luo; Yongqing Wang

doi:10.1155/2018/7210680

Journal of Function Spaces (Jan 2018)

The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent

Yanbin Sang,
Xiaorong Luo,
Yongqing Wang

Affiliations

Yanbin Sang: Department of Mathematics, School of Science, North University of China, Taiyuan, Shanxi 030051, China
Xiaorong Luo: Department of Mathematics, School of Science, North University of China, Taiyuan, Shanxi 030051, China
Yongqing Wang: School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China

DOI: https://doi.org/10.1155/2018/7210680
Journal volume & issue: Vol. 2018

Abstract

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We study a nonlinear Choquard equation with weighted terms and critical Sobolev-Hardy exponent. We apply variational methods and Lusternik-Schnirelmann category to prove the multiple positive solutions for this problem.

Published in Journal of Function Spaces

ISSN: 2314-8896 (Print); 2314-8888 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/9303

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