Fan, Xianling An imbedding theorem for Musielak-Sobolev spaces. (English) Zbl 1272.46024 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 1959-1971 (2012). Reviewer: Jiří Rákosník (Praha) MSC: 46E35 PDFBibTeX XMLCite \textit{X. Fan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 1959--1971 (2012; Zbl 1272.46024) Full Text: DOI
Fan, Xianling Differential equations of divergence form in Musielak-Sobolev spaces and a sub-supersolution method. (English) Zbl 1270.35156 J. Math. Anal. Appl. 386, No. 2, 593-604 (2012). MSC: 35B51 47H05 PDFBibTeX XMLCite \textit{X. Fan}, J. Math. Anal. Appl. 386, No. 2, 593--604 (2012; Zbl 1270.35156) Full Text: DOI
Fan, Xianling The number of solutions for a class of nonlocal nonhomogeneous gradient operator equations. (English) Zbl 1228.47070 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 11, 3644-3656 (2011). Reviewer: Dian K. Palagachev (Bari) MSC: 47N20 47H05 35J92 58E30 PDFBibTeX XMLCite \textit{X. Fan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 11, 3644--3656 (2011; Zbl 1228.47070) Full Text: DOI
Fan, Xianling Local boundedness of quasi-minimizers of integral functionals with variable exponent anisotropic growth and applications. (English) Zbl 1198.49033 NoDEA, Nonlinear Differ. Equ. Appl. 17, No. 5, 619-637 (2010). MSC: 49N60 35J70 PDFBibTeX XMLCite \textit{X. Fan}, NoDEA, Nonlinear Differ. Equ. Appl. 17, No. 5, 619--637 (2010; Zbl 1198.49033) Full Text: DOI
Fan, Xianling On nonlocal \(\vec p (x)\)-Laplacian equations. (English) Zbl 1200.35155 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 10, 3364-3375 (2010). MSC: 35J70 35J92 58E30 47H05 PDFBibTeX XMLCite \textit{X. Fan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 10, 3364--3375 (2010; Zbl 1200.35155) Full Text: DOI
Fan, Xianling Positive solutions to \(p(x)\)-Laplacian-Dirichlet problems with sign-changing non-linearities. (English) Zbl 1200.35154 Glasg. Math. J. 52, No. 3, 505-516 (2010). MSC: 35J70 35J25 35B09 PDFBibTeX XMLCite \textit{X. Fan}, Glasg. Math. J. 52, No. 3, 505--516 (2010; Zbl 1200.35154) Full Text: DOI
Fan, Xianling Variable exponent Morrey and Campanato spaces. (English) Zbl 1193.46015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 11, 4148-4161 (2010). MSC: 46E30 PDFBibTeX XMLCite \textit{X. Fan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 11, 4148--4161 (2010; Zbl 1193.46015) Full Text: DOI
Fan, Xianling On nonlocal \(p(x)\)-Laplacian Dirichlet problems. (English) Zbl 1189.35127 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 7-8, 3314-3323 (2010). MSC: 35J70 35J25 58E30 35J20 35J92 PDFBibTeX XMLCite \textit{X. Fan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 7--8, 3314--3323 (2010; Zbl 1189.35127) Full Text: DOI
Fan, Xianling Remarks on eigenvalue problems involving the \(p(x)\)-Laplacian. (English) Zbl 1163.35026 J. Math. Anal. Appl. 352, No. 1, 85-98 (2009). MSC: 35P30 35J60 35J20 PDFBibTeX XMLCite \textit{X. Fan}, J. Math. Anal. Appl. 352, No. 1, 85--98 (2009; Zbl 1163.35026) Full Text: DOI
Fan, Xianling Boundary trace embedding theorems for variable exponent Sobolev spaces. (English) Zbl 1136.46025 J. Math. Anal. Appl. 339, No. 2, 1395-1412 (2008). Reviewer: Stefan G. Samko (Faro) MSC: 46E30 PDFBibTeX XMLCite \textit{X. Fan}, J. Math. Anal. Appl. 339, No. 2, 1395--1412 (2008; Zbl 1136.46025) Full Text: DOI
Fan, Xianling Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form. (English) Zbl 1143.35040 J. Differ. Equations 235, No. 2, 397-417 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J60 35J65 35D10 PDFBibTeX XMLCite \textit{X. Fan}, J. Differ. Equations 235, No. 2, 397--417 (2007; Zbl 1143.35040) Full Text: DOI
Fan, Xianling On the sub-supersolution method for \(p(x)\)-Laplacian equations. (English) Zbl 1206.35103 J. Math. Anal. Appl. 330, No. 1, 665-682 (2007). MSC: 35J60 35P30 47J30 PDFBibTeX XMLCite \textit{X. Fan}, J. Math. Anal. Appl. 330, No. 1, 665--682 (2007; Zbl 1206.35103) Full Text: DOI
Fan, Xianling; Wang, Suyun; Zhao, Dun Density of \(C^{\infty}(\Omega)\) in \(W^{1,p(x)}(\Omega)\) discontinuous exponent \(p(x)\). (English) Zbl 1100.46020 Math. Nachr. 279, No. 1-2, 142-149 (2006). Reviewer: Peter Hästö (Helsinki) MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{X. Fan} et al., Math. Nachr. 279, No. 1--2, 142--149 (2006; Zbl 1100.46020) Full Text: DOI
Fan, Xianling Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients. (English) Zbl 1154.35336 J. Math. Anal. Appl. 312, No. 2, 464-477 (2005). Reviewer: Lubomira Softova (Bari) MSC: 35J35 PDFBibTeX XMLCite \textit{X. Fan}, J. Math. Anal. Appl. 312, No. 2, 464--477 (2005; Zbl 1154.35336) Full Text: DOI