Lu, Guozhen; Shen, Yansheng Existence of solutions to fractional \(p\)-Laplacian systems with homogeneous nonlinearities of critical Sobolev growth. (English) Zbl 1445.35306 Adv. Nonlinear Stud. 20, No. 3, 579-597 (2020). MSC: 35R11 35B33 35J50 35J57 39B72 45G15 PDFBibTeX XMLCite \textit{G. Lu} and \textit{Y. Shen}, Adv. Nonlinear Stud. 20, No. 3, 579--597 (2020; Zbl 1445.35306) Full Text: DOI
Chen, Lu; Lu, Guozhen; Tao, Chunxia Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group. (English) Zbl 1429.26034 J. Funct. Anal. 277, No. 4, 1112-1138 (2019). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D15 PDFBibTeX XMLCite \textit{L. Chen} et al., J. Funct. Anal. 277, No. 4, 1112--1138 (2019; Zbl 1429.26034) Full Text: DOI arXiv
Chen, Lu; Li, Jungang; Lu, Guozhen; Zhang, Caifeng Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in \(\mathbb{R}^4\). (English) Zbl 1397.35097 Adv. Nonlinear Stud. 18, No. 3, 429-452 (2018). MSC: 35J60 35J91 PDFBibTeX XMLCite \textit{L. Chen} et al., Adv. Nonlinear Stud. 18, No. 3, 429--452 (2018; Zbl 1397.35097) Full Text: DOI
Li, Jungang; Lu, Guozhen; Zhu, Maochun Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions. (English) Zbl 1402.46026 Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 84, 1-26 (2018). MSC: 46E35 35J92 35H20 35R03 PDFBibTeX XMLCite \textit{J. Li} et al., Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 84, 1--26 (2018; Zbl 1402.46026) Full Text: DOI arXiv