Hardy–Sobolev equation with negative power and sign-changing nonlinearity on closed manifolds-Reference-Cited by-同舟云学术

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Hardy–Sobolev equation with negative power and sign-changing nonlinearity on closed manifolds

Published:2024-07-30 Issue:3 Volume:15 Page:
ISSN:1662-9981
Container-title:Journal of Pseudo-Differential Operators and Applications
language:en
Short-container-title:J. Pseudo-Differ. Oper. Appl.

Author:

Chen Nanbo,Liang Honghong,Huang Zhihua,Liu Xiaochun

Funder

the National Natural Science Foundation of China

the Guangxi Natural Science Foundation

the Special Fund for Scientific and Technological Bases and Talents of Guangxi

Guangzhou Science and technology planning project

Guangdong Basic and Applied Basic Research Fund-Regional Joint Fund-Youth Fund Project

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s11868-024-00630-1.pdf

Reference33 articles.

1. Aubin, T.: Problèmes isopérimétriques et espaces de Sobolev. J. Diff. Geom. 11(4), 573–598 (1976)

2. Aberqi, A., Ouaziz, A.: Morse’s theory and local linking for a fractional $$(p_1(x.,), p_2(x.,))$$: Laplacian problems on compact manifolds. J. Pseudo-Differ. Oper. Appl. 14(3), 41 (2023)

3. Boccardo, L., Orsina, L.: Semilinear elliptic equations with singular nonlinearities. Calc. Var. Part. Differ. Equ. 37(3–4), 363–380 (2010)

4. Catrina, F., Wang, Z.: On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and non existence) and symmetry of extremal functions. Comm. Pure Appl. Math. 54(2), 229–258 (2001)

5. Chen, N., Liu, X.: Hardy-Sobolev equation on compact Riemannian manifolds involving $$p$$-Laplacian. J. Math. Anal. Appl. 487(2), 123992 (2020)

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