Infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy–Sobolev–Maz’ya terms
Articles
Lixia Wang
Tianjin Chengjian University
https://orcid.org/0000-0003-0424-6094
Pingping Zhao
Tianjin Chengjian University
Dong Zhang
Tianjin Chengjian University
Published 2022-05-15
https://doi.org/10.15388/namc.2022.27.27538
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Keywords

Hardy–Sobolev–Maz’ya exponents
invariant sets
sign-changing solutions
minimax method

How to Cite

Wang, L., Zhao, P. and Zhang, D. (2022) “Infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy–Sobolev–Maz’ya terms”, Nonlinear Analysis: Modelling and Control, 27(5), pp. 863–878. doi:10.15388/namc.2022.27.27538.

Abstract

In this paper, we consider the existence of infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy–Sobolev–Maz’ya terms. By using a compactness result obtained in [C.H. Wang, J. Yang, Infinitely many solutions for an elliptic problem with double Hardy–Sobolev–Maz’ya terms, Discrete Contin. Dyn. Syst., 36(3):1603–1628, 2016], we prove the existence of these solutions by a combination of invariant sets method and Ljusternik–Schnirelman-type minimax method.

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