Dai, Wei; Liu, Zhao; Wang, Pengyan Monotonicity and symmetry of positive solutions to fractional \(p\)-Laplacian equation. (English) Zbl 07570840 Commun. Contemp. Math. 24, No. 6, Article ID 2150005, 17 p. (2022). MSC: 35R11 35J91 35B06 35B65 PDF BibTeX XML Cite \textit{W. Dai} et al., Commun. Contemp. Math. 24, No. 6, Article ID 2150005, 17 p. (2022; Zbl 07570840) Full Text: DOI OpenURL
Choksi, Rustum; Neumayer, Robin; Topaloglu, Ihsan Anisotropic liquid drop models. (English) Zbl 07499990 Adv. Calc. Var. 15, No. 1, 109-131 (2022). MSC: 35Q40 81V45 49Q20 49S05 PDF BibTeX XML Cite \textit{R. Choksi} et al., Adv. Calc. Var. 15, No. 1, 109--131 (2022; Zbl 07499990) Full Text: DOI OpenURL
Bonacini, Marco; Cristoferi, Riccardo; Topaloglu, Ihsan Riesz-type inequalities and overdetermined problems for triangles and quadrilaterals. (English) Zbl 1485.49051 J. Geom. Anal. 32, No. 2, Paper No. 48, 31 p. (2022). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 49Q10 49Q20 49J10 49J40 49K21 35N25 PDF BibTeX XML Cite \textit{M. Bonacini} et al., J. Geom. Anal. 32, No. 2, Paper No. 48, 31 p. (2022; Zbl 1485.49051) Full Text: DOI arXiv OpenURL
Gómez-Serrano, Javier; Park, Jaemin; Shi, Jia; Yao, Yao Symmetry in stationary and uniformly rotating solutions of active scalar equations. (English) Zbl 1478.35013 Duke Math. J. 170, No. 13, 2957-3038 (2021). MSC: 35B06 35Q31 35Q35 PDF BibTeX XML Cite \textit{J. Gómez-Serrano} et al., Duke Math. J. 170, No. 13, 2957--3038 (2021; Zbl 1478.35013) Full Text: DOI arXiv Link OpenURL
Zhang, Lihong; Nie, Xiaofeng A direct method of moving planes for the logarithmic Laplacian. (English) Zbl 1475.35093 Appl. Math. Lett. 118, Article ID 107141, 7 p. (2021). MSC: 35B50 35B06 35J62 35R11 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{X. Nie}, Appl. Math. Lett. 118, Article ID 107141, 7 p. (2021; Zbl 1475.35093) Full Text: DOI OpenURL
Chen, Wenxiong; Wu, Leyun Uniform a priori estimates for solutions of higher critical order fractional equations. (English) Zbl 07355280 Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 102, 19 p. (2021). MSC: 35R11 35B45 35J30 PDF BibTeX XML Cite \textit{W. Chen} and \textit{L. Wu}, Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 102, 19 p. (2021; Zbl 07355280) Full Text: DOI OpenURL
Liu, Zhao Maximum principles and monotonicity of solutions for fractional \(p\)-equations in unbounded domains. (English) Zbl 1451.35038 J. Differ. Equations 270, 1043-1078 (2021). MSC: 35B50 35R11 35J25 35J92 35B06 35B65 PDF BibTeX XML Cite \textit{Z. Liu}, J. Differ. Equations 270, 1043--1078 (2021; Zbl 1451.35038) Full Text: DOI arXiv OpenURL
Ji, Xiaoxue; Niu, Pengcheng Non-existence for a semi-linear fractional system with Sobolev exponents via direct method of moving spheres. (English) Zbl 07509700 Bound. Value Probl. 2020, Paper No. 65, 26 p. (2020). MSC: 35J61 35R11 35A01 PDF BibTeX XML Cite \textit{X. Ji} and \textit{P. Niu}, Bound. Value Probl. 2020, Paper No. 65, 26 p. (2020; Zbl 07509700) Full Text: DOI OpenURL
Neumayer, Robin On minimizers and critical points for anisotropic isoperimetric problems. (English) Zbl 1441.49037 Wood, David R. (ed.) et al., 2018 MATRIX annals. Cham: Springer. MATRIX Book Ser. 3, 293-302 (2020). MSC: 49Q20 49Q10 49S05 53C40 PDF BibTeX XML Cite \textit{R. Neumayer}, MATRIX Book Ser. 3, 293--302 (2020; Zbl 1441.49037) Full Text: DOI OpenURL
Ma, Lingwei; Zhang, Zhenqiu Monotonicity of positive solutions for fractional \(p\)-systems in unbounded Lipschitz domains. (English) Zbl 1443.35172 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111892, 17 p. (2020). MSC: 35R11 35B50 PDF BibTeX XML Cite \textit{L. Ma} and \textit{Z. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111892, 17 p. (2020; Zbl 1443.35172) Full Text: DOI OpenURL
Wang, Xiaoshan; Yang, Zuodong Nonexistence of positive solutions for an indefinite fractional \(p\)-Laplacian equation. (English) Zbl 1439.35549 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 195, Article ID 111740, 18 p. (2020). MSC: 35R11 35A01 35B09 35J20 35J25 35H30 PDF BibTeX XML Cite \textit{X. Wang} and \textit{Z. Yang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 195, Article ID 111740, 18 p. (2020; Zbl 1439.35549) Full Text: DOI OpenURL
Qu, Meng; Li, Ping; Yang, Liu Symmetry and monotonicity of solutions for the fully nonlinear nonlocal equation. (English) Zbl 1431.35235 Commun. Pure Appl. Anal. 19, No. 3, 1337-1349 (2020). MSC: 35R11 35B33 PDF BibTeX XML Cite \textit{M. Qu} et al., Commun. Pure Appl. Anal. 19, No. 3, 1337--1349 (2020; Zbl 1431.35235) Full Text: DOI OpenURL
Ji, Xiaoxue; Niu, Pengcheng; Wang, Pengyan Non-existence results for cooperative semi-linear fractional system via direct method of moving spheres. (English) Zbl 07149852 Commun. Pure Appl. Anal. 19, No. 2, 1111-1128 (2020). MSC: 35R11 53C35 PDF BibTeX XML Cite \textit{X. Ji} et al., Commun. Pure Appl. Anal. 19, No. 2, 1111--1128 (2020; Zbl 07149852) Full Text: DOI OpenURL
Zhang, Biran; Lü, Zhongxue Symmetry and nonexistence of solutions for a fully nonlinear nonlocal system. (English) Zbl 1412.35356 Pac. J. Math. 299, No. 1, 237-255 (2019). MSC: 35R09 35B06 35B09 35B50 35B53 PDF BibTeX XML Cite \textit{B. Zhang} and \textit{Z. Lü}, Pac. J. Math. 299, No. 1, 237--255 (2019; Zbl 1412.35356) Full Text: DOI OpenURL
Wu, Leyun; Niu, Pengcheng Symmetry and nonexistence of positive solutions to fractional \(p\)-Laplacian equations. (English) Zbl 1415.35286 Discrete Contin. Dyn. Syst. 39, No. 3, 1573-1583 (2019). MSC: 35R11 35A01 35B53 35B09 PDF BibTeX XML Cite \textit{L. Wu} and \textit{P. Niu}, Discrete Contin. Dyn. Syst. 39, No. 3, 1573--1583 (2019; Zbl 1415.35286) Full Text: DOI OpenURL
Chen, Wenxiong; Qi, Shijie Direct methods on fractional equations. (English) Zbl 1408.35038 Discrete Contin. Dyn. Syst. 39, No. 3, 1269-1310 (2019). MSC: 35J60 35R11 35-02 PDF BibTeX XML Cite \textit{W. Chen} and \textit{S. Qi}, Discrete Contin. Dyn. Syst. 39, No. 3, 1269--1310 (2019; Zbl 1408.35038) Full Text: DOI OpenURL
Chen, Wenxiong; Li, Congming; Zhu, Jiuyi Fractional equations with indefinite nonlinearities. (English) Zbl 1408.35037 Discrete Contin. Dyn. Syst. 39, No. 3, 1257-1268 (2019). MSC: 35J60 35R11 35B09 PDF BibTeX XML Cite \textit{W. Chen} et al., Discrete Contin. Dyn. Syst. 39, No. 3, 1257--1268 (2019; Zbl 1408.35037) Full Text: DOI OpenURL
Li, Congming; Chen, Wenxiong A Hopf type lemma for fractional equations. (English) Zbl 1417.35034 Proc. Am. Math. Soc. 147, No. 4, 1565-1575 (2019). Reviewer: Mariana Vega Smit (Bellingham) MSC: 35J60 35R11 PDF BibTeX XML Cite \textit{C. Li} and \textit{W. Chen}, Proc. Am. Math. Soc. 147, No. 4, 1565--1575 (2019; Zbl 1417.35034) Full Text: DOI arXiv OpenURL
Chen, Wenxiong; Li, Congming Maximum principles for the fractional p-Laplacian and symmetry of solutions. (English) Zbl 1395.35055 Adv. Math. 335, 735-758 (2018). MSC: 35B50 35J92 35R11 35R09 PDF BibTeX XML Cite \textit{W. Chen} and \textit{C. Li}, Adv. Math. 335, 735--758 (2018; Zbl 1395.35055) Full Text: DOI arXiv OpenURL
Wang, Pengyan; Yu, Mei Solutions of fully nonlinear nonlocal systems. (English) Zbl 1376.45004 J. Math. Anal. Appl. 450, No. 2, 982-995 (2017). MSC: 45G15 45M20 PDF BibTeX XML Cite \textit{P. Wang} and \textit{M. Yu}, J. Math. Anal. Appl. 450, No. 2, 982--995 (2017; Zbl 1376.45004) Full Text: DOI arXiv OpenURL
Wang, Pengyan; Niu, Pengcheng A direct method of moving planes for a fully nonlinear nonlocal system. (English) Zbl 1364.35095 Commun. Pure Appl. Anal. 16, No. 5, 1707-1718 (2017). MSC: 35J60 45G05 45G15 PDF BibTeX XML Cite \textit{P. Wang} and \textit{P. Niu}, Commun. Pure Appl. Anal. 16, No. 5, 1707--1718 (2017; Zbl 1364.35095) Full Text: DOI OpenURL
Chen, Wenxiong; Li, Congming; Li, Guanfeng Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions. (English) Zbl 1368.35110 Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 29, 18 p. (2017). Reviewer: Vincenzo Vespri (Firenze) MSC: 35J60 35R11 PDF BibTeX XML Cite \textit{W. Chen} et al., Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 29, 18 p. (2017; Zbl 1368.35110) Full Text: DOI arXiv OpenURL
Huang, Xiaotao; Wang, Lihe Radial symmetry results for Bessel potential integral equations in exterior domains and in annular domains. (English) Zbl 1362.45016 Commun. Pure Appl. Anal. 16, No. 4, 1121-1134 (2017). MSC: 45K05 45M20 PDF BibTeX XML Cite \textit{X. Huang} and \textit{L. Wang}, Commun. Pure Appl. Anal. 16, No. 4, 1121--1134 (2017; Zbl 1362.45016) Full Text: DOI OpenURL
Chen, Wenxiong; Li, Congming; Li, Yan A direct method of moving planes for the fractional Laplacian. (English) Zbl 1362.35320 Adv. Math. 308, 404-437 (2017). MSC: 35R11 35J05 35B50 35B07 PDF BibTeX XML Cite \textit{W. Chen} et al., Adv. Math. 308, 404--437 (2017; Zbl 1362.35320) Full Text: DOI arXiv OpenURL
Yin, Rong; Zhang, Jihui The characters for integral equations system on exterior domain. (English) Zbl 1362.35244 J. Math. Phys. 57, No. 10, 101507, 13 p. (2016). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 35Q30 35A01 76D03 45F05 35B09 35B65 PDF BibTeX XML Cite \textit{R. Yin} and \textit{J. Zhang}, J. Math. Phys. 57, No. 10, 101507, 13 p. (2016; Zbl 1362.35244) Full Text: DOI OpenURL
Yin, Rong; Zhang, Jihui; Shang, Xudong Overdetermined equations on bounded domain. (English) Zbl 1348.35301 Complex Var. Elliptic Equ. 61, No. 11, 1566-1586 (2016). MSC: 35R11 35G20 45G10 35N25 PDF BibTeX XML Cite \textit{R. Yin} et al., Complex Var. Elliptic Equ. 61, No. 11, 1566--1586 (2016; Zbl 1348.35301) Full Text: DOI OpenURL
Cheng, Tingzhi; Chen, Wenxiong; Li, Congming; Zhang, Lizhi A Liouville theorem for \(\alpha\)-harmonic functions in \(\mathbb{R}^n_+\). (English) Zbl 1338.35461 Discrete Contin. Dyn. Syst. 36, No. 3, 1721-1736 (2016). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35R11 35B53 35B09 PDF BibTeX XML Cite \textit{T. Cheng} et al., Discrete Contin. Dyn. Syst. 36, No. 3, 1721--1736 (2016; Zbl 1338.35461) Full Text: DOI arXiv OpenURL
Yuan, Zixia; Cui, Xuewei; Chen, Wenxiong; Zhuo, Ran Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian. (English) Zbl 1322.31007 Discrete Contin. Dyn. Syst. 36, No. 2, 1125-1141 (2016). MSC: 31C45 PDF BibTeX XML Cite \textit{Z. Yuan} et al., Discrete Contin. Dyn. Syst. 36, No. 2, 1125--1141 (2016; Zbl 1322.31007) Full Text: DOI arXiv OpenURL
Huang, Xiaotao Symmetry results of positive solutions of integral equations involving Riesz potential in exterior domains and in annular domains. (English) Zbl 1315.45009 J. Math. Anal. Appl. 427, No. 2, 856-872 (2015). MSC: 45M20 45E10 PDF BibTeX XML Cite \textit{X. Huang}, J. Math. Anal. Appl. 427, No. 2, 856--872 (2015; Zbl 1315.45009) Full Text: DOI OpenURL
Michelitsch, Thomas; Maugin, Gérard; Nowakowski, Andrzej; Nicolleau, Franck; Rahman, Mujibur The fractional Laplacian as a limiting case of a self-similar spring model and applications to \(n\)-dimensional anomalous diffusion. (English) Zbl 1314.35209 Fract. Calc. Appl. Anal. 16, No. 4, 827-859 (2013). MSC: 35R11 28A80 35Q84 60E07 82C31 60G18 60J60 PDF BibTeX XML Cite \textit{T. Michelitsch} et al., Fract. Calc. Appl. Anal. 16, No. 4, 827--859 (2013; Zbl 1314.35209) Full Text: DOI OpenURL
Lv, Boqiang; Li, Fengquan; Zou, Weilin Partially overdetermined problem in some integral equations. (English) Zbl 1277.45005 Proc. Am. Math. Soc. 141, No. 9, 3073-3081 (2013). Reviewer: Ilia V. Boikov (Penza) MSC: 45G05 PDF BibTeX XML Cite \textit{B. Lv} et al., Proc. Am. Math. Soc. 141, No. 9, 3073--3081 (2013; Zbl 1277.45005) Full Text: DOI OpenURL
Huang, Xiaotao; Hong, Guanghao; Li, Dongsheng Some symmetry results for integral equations involving Wolff potential on bounded domains. (English) Zbl 1254.45005 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 14, 5601-5611 (2012). Reviewer: Alexander N. Tynda (Penza) MSC: 45G15 PDF BibTeX XML Cite \textit{X. Huang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 14, 5601--5611 (2012; Zbl 1254.45005) Full Text: DOI OpenURL
Huang, Xiaotao; Li, Dongsheng; Wang, Lihe Radial symmetry results for systems of integral equations on \(\Omega \subset {\mathbb{R}}^n\). (English) Zbl 1246.45013 Manuscr. Math. 137, No. 3-4, 317-330 (2012). Reviewer: Dan-Mircea Borş (Iaşi) MSC: 45M20 45G15 PDF BibTeX XML Cite \textit{X. Huang} et al., Manuscr. Math. 137, No. 3--4, 317--330 (2012; Zbl 1246.45013) Full Text: DOI OpenURL
Han, Xiaolong; Lu, Guozhen; Zhu, Jiuyi Characterization of balls in terms of Bessel-potential integral equation. (English) Zbl 1229.31005 J. Differ. Equations 252, No. 2, 1589-1602 (2012). MSC: 31B10 35N25 PDF BibTeX XML Cite \textit{X. Han} et al., J. Differ. Equations 252, No. 2, 1589--1602 (2012; Zbl 1229.31005) Full Text: DOI OpenURL