Duan, Qingwei; Guo, Lifeng; Zhang, Binlin Multiplicity of solutions of Kirchhoff-type fractional Laplacian problems with critical and singular nonlinearities. (English) Zbl 07822982 Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 45, 28 p. (2023). MSC: 35B38 35J50 35J75 35R11 PDFBibTeX XMLCite \textit{Q. Duan} et al., Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 45, 28 p. (2023; Zbl 07822982) Full Text: DOI
Ji, Chao (ed.); Zhang, Binlin (ed.) Preface. (English) Zbl 07800057 Discrete Contin. Dyn. Syst., Ser. S 16, No. 11, i (2023). MSC: 00B30 35-06 PDFBibTeX XMLCite \textit{C. Ji} (ed.) and \textit{B. Zhang} (ed.), Discrete Contin. Dyn. Syst., Ser. S 16, No. 11, i (2023; Zbl 07800057) Full Text: DOI
Wang, Linlin; Xing, Yuming; Zhang, Binlin Existence and bifurcation of positive solutions for fractional \(p\)-Kirchhoff problems. (English) Zbl 07781308 Math. Methods Appl. Sci. 46, No. 2, 2413-2432 (2023). MSC: 35R11 35B32 35J25 35J92 45G05 47G20 PDFBibTeX XMLCite \textit{L. Wang} et al., Math. Methods Appl. Sci. 46, No. 2, 2413--2432 (2023; Zbl 07781308) Full Text: DOI
Liang, Sihua; Pucci, Patrizia; Zhang, Binlin Existence and multiplicity of solutions for critical nonlocal equations with variable exponents. (English) Zbl 1523.35285 Appl. Anal. 102, No. 15, 4306-4329 (2023). MSC: 35R11 35B33 35D30 35J20 46E35 49J35 PDFBibTeX XMLCite \textit{S. Liang} et al., Appl. Anal. 102, No. 15, 4306--4329 (2023; Zbl 1523.35285) Full Text: DOI
Tao, Mengfei; Zhang, Binlin Solutions for nonhomogeneous singular fractional \(p\)-Laplacian equations via fixed point theorem. (English) Zbl 1518.35649 Complex Var. Elliptic Equ. 68, No. 6, 847-867 (2023). MSC: 35R11 35A23 35J92 PDFBibTeX XMLCite \textit{M. Tao} and \textit{B. Zhang}, Complex Var. Elliptic Equ. 68, No. 6, 847--867 (2023; Zbl 1518.35649) Full Text: DOI
Fan, Hai Ning; Zhang, Bin Lin Fractional Schrödinger equations with logarithmic and critical nonlinearities. (English) Zbl 1512.35615 Acta Math. Sin., Engl. Ser. 39, No. 2, 285-325 (2023). MSC: 35R11 35A15 35B33 35B38 35J61 PDFBibTeX XMLCite \textit{H. N. Fan} and \textit{B. L. Zhang}, Acta Math. Sin., Engl. Ser. 39, No. 2, 285--325 (2023; Zbl 1512.35615) Full Text: DOI
Duan, Qingwei; Guo, Lifeng; Zhang, Binlin Kirchhoff-type fractional Laplacian problems with critical and singular nonlinearities. (English) Zbl 1512.35613 Bull. Malays. Math. Sci. Soc. (2) 46, No. 2, Paper No. 81, 25 p. (2023). MSC: 35R11 35B32 35B38 35J20 35J25 35J62 PDFBibTeX XMLCite \textit{Q. Duan} et al., Bull. Malays. Math. Sci. Soc. (2) 46, No. 2, Paper No. 81, 25 p. (2023; Zbl 1512.35613) Full Text: DOI
Tao, Mengfei; Zhang, Binlin Existence results for nonhomogeneous fractional Schrödinger-Poisson systems involving critical exponents. (English) Zbl 07613036 Differ. Integral Equ. 36, No. 1-2, 21-44 (2023). Reviewer: Yang Yang (Wuxi) MSC: 35R11 35B33 35J60 PDFBibTeX XMLCite \textit{M. Tao} and \textit{B. Zhang}, Differ. Integral Equ. 36, No. 1--2, 21--44 (2023; Zbl 07613036) Full Text: DOI
Molica Bisci, Giovanni; Servadei, Raffaella; Zhang, Binlin Monotonicity properties of the eigenvalues of nonlocal fractional operators and their applications. (English) Zbl 1505.35280 Electron. J. Differ. Equ. 2022, Paper No. 85, 21 p. (2022). MSC: 35P05 35A15 35R09 35R11 35S15 45G05 47G20 PDFBibTeX XMLCite \textit{G. Molica Bisci} et al., Electron. J. Differ. Equ. 2022, Paper No. 85, 21 p. (2022; Zbl 1505.35280) Full Text: Link
Wang, Li; Wang, Jun; Zhang, Binlin Existence results for Kirchhoff type Schrödinger-Poisson system involving the fractional Laplacian. (English) Zbl 1504.35008 Rocky Mt. J. Math. 52, No. 5, 1831-1848 (2022). MSC: 35A15 35B38 35J47 35R11 58E05 PDFBibTeX XMLCite \textit{L. Wang} et al., Rocky Mt. J. Math. 52, No. 5, 1831--1848 (2022; Zbl 1504.35008) Full Text: DOI Link
Zhou, Jieyu; Guo, Lifeng; Zhang, Binlin Kirchhoff-type problems involving the fractional \(p\)-Laplacian on the Heisenberg group. (English) Zbl 1501.35214 Rend. Circ. Mat. Palermo (2) 71, No. 3, 1133-1157 (2022). MSC: 35J62 35R11 35R03 35A01 35J20 PDFBibTeX XMLCite \textit{J. Zhou} et al., Rend. Circ. Mat. Palermo (2) 71, No. 3, 1133--1157 (2022; Zbl 1501.35214) Full Text: DOI
Ju, Chunming; Zhang, Binlin On fractional discrete \(p\)-Laplacian equations via Clark’s theorem. (English) Zbl 1510.35380 Appl. Math. Comput. 434, Article ID 127443, 14 p. (2022). MSC: 35R11 35K05 58E05 PDFBibTeX XMLCite \textit{C. Ju} and \textit{B. Zhang}, Appl. Math. Comput. 434, Article ID 127443, 14 p. (2022; Zbl 1510.35380) Full Text: DOI
Xiang, Mingqi; Rădulescu, Vicenţiu D.; Zhang, Binlin Existence results for singular fractional \(p\)-Kirchhoff problems. (English) Zbl 1513.35537 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1209-1224 (2022). MSC: 35R11 35A15 47G20 PDFBibTeX XMLCite \textit{M. Xiang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1209--1224 (2022; Zbl 1513.35537) Full Text: DOI
Liang, Sihua; Molica Bisci, Giovanni; Zhang, Binlin Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents. (English) Zbl 1491.35216 Nonlinear Anal., Model. Control 27, No. 3, 556-575 (2022). MSC: 35J62 35R11 35A01 35A15 PDFBibTeX XMLCite \textit{S. Liang} et al., Nonlinear Anal., Model. Control 27, No. 3, 556--575 (2022; Zbl 1491.35216) Full Text: DOI
Tao, Mengfei; Zhang, Binlin Solutions for nonhomogeneous fractional \((p, q)\)-Laplacian systems with critical nonlinearities. (English) Zbl 1489.35118 Adv. Nonlinear Anal. 11, 1332-1351 (2022). MSC: 35J62 35R11 35A01 47H10 PDFBibTeX XMLCite \textit{M. Tao} and \textit{B. Zhang}, Adv. Nonlinear Anal. 11, 1332--1351 (2022; Zbl 1489.35118) Full Text: DOI
Zhen, Maoding; Zhang, Binlin; Han, Xiumei A new approach to get solutions for Kirchhoff-type fractional Schrödinger systems involving critical exponents. (English) Zbl 1486.35219 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 1927-1954 (2022). MSC: 35J62 35R11 35B33 35A01 35A15 PDFBibTeX XMLCite \textit{M. Zhen} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 1927--1954 (2022; Zbl 1486.35219) Full Text: DOI
Zhen, Maoding; Zhang, Binlin Normalized ground states for the critical fractional NLS equation with a perturbation. (English) Zbl 1481.35140 Rev. Mat. Complut. 35, No. 1, 89-132 (2022). MSC: 35J05 35R11 35J61 35B33 35A01 PDFBibTeX XMLCite \textit{M. Zhen} and \textit{B. Zhang}, Rev. Mat. Complut. 35, No. 1, 89--132 (2022; Zbl 1481.35140) Full Text: DOI arXiv
Xiang, Mingqi; Zhang, Binlin Combined effects of logarithmic and critical nonlinearities in fractional Laplacian problems. (English) Zbl 1480.35400 Adv. Differ. Equ. 26, No. 7-8, 363-396 (2021). MSC: 35R11 35J25 35J61 47G20 PDFBibTeX XMLCite \textit{M. Xiang} and \textit{B. Zhang}, Adv. Differ. Equ. 26, No. 7--8, 363--396 (2021; Zbl 1480.35400) Full Text: Euclid
Wu, Leyun; Yu, Mei; Zhang, Binlin Monotonicity results for the fractional \(p\)-Laplacian in unbounded domains. (English) Zbl 1476.35322 Bull. Math. Sci. 11, No. 2, Article ID 2150003, 29 p. (2021). MSC: 35R11 35J92 35B06 PDFBibTeX XMLCite \textit{L. Wu} et al., Bull. Math. Sci. 11, No. 2, Article ID 2150003, 29 p. (2021; Zbl 1476.35322) Full Text: DOI
Chen, Wenjing; Rădulescu, Vicenţiu D.; Zhang, Binlin Fractional Choquard-Kirchhoff problems with critical nonlinearity and Hardy potential. (English) Zbl 1479.35419 Anal. Math. Phys. 11, No. 3, Paper No. 132, 25 p. (2021). Reviewer: Leszek Gasiński (Kraków) MSC: 35J62 35R11 35A01 35J20 PDFBibTeX XMLCite \textit{W. Chen} et al., Anal. Math. Phys. 11, No. 3, Paper No. 132, 25 p. (2021; Zbl 1479.35419) Full Text: DOI
Zhen, Maoding; Zhang, Binlin The Nehari manifold for fractional \(p\)-Laplacian system involving concave-convex nonlinearities and sign-changing weight functions. (English) Zbl 1479.35374 Complex Var. Elliptic Equ. 66, No. 10, 1731-1754 (2021). MSC: 35J57 35J92 35R11 35A01 35A15 PDFBibTeX XMLCite \textit{M. Zhen} and \textit{B. Zhang}, Complex Var. Elliptic Equ. 66, No. 10, 1731--1754 (2021; Zbl 1479.35374) Full Text: DOI
Wang, Li; Zhang, Binlin Infinitely many solutions for Kirchhoff-type variable-order fractional Laplacian problems involving variable exponents. (English) Zbl 1475.35403 Appl. Anal. 100, No. 11, 2418-2435 (2021). MSC: 35R11 35A15 35J25 35J92 47G20 PDFBibTeX XMLCite \textit{L. Wang} and \textit{B. Zhang}, Appl. Anal. 100, No. 11, 2418--2435 (2021; Zbl 1475.35403) Full Text: DOI
Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin Nonlocal Kirchhoff problems with singular exponential nonlinearity. (English) Zbl 1470.35404 Appl. Math. Optim. 84, No. 1, 915-954 (2021). MSC: 35R11 35A15 35J25 35R09 47G20 PDFBibTeX XMLCite \textit{X. Mingqi} et al., Appl. Math. Optim. 84, No. 1, 915--954 (2021; Zbl 1470.35404) Full Text: DOI
Zhen, Maoding; Zhang, Binlin Complete classification of ground state solutions with different Morse index for critical fractional Laplacian system. (English) Zbl 1470.35421 Math. Methods Appl. Sci. 44, No. 2, 1601-1614 (2021). MSC: 35R11 35B09 35J47 35J50 35J61 47A53 58E05 PDFBibTeX XMLCite \textit{M. Zhen} and \textit{B. Zhang}, Math. Methods Appl. Sci. 44, No. 2, 1601--1614 (2021; Zbl 1470.35421) Full Text: DOI
Xiang, Mingqi; Hu, Die; Zhang, Binlin; Wang, Yue Multiplicity of solutions for variable-order fractional Kirchhoff equations with nonstandard growth. (English) Zbl 1472.35444 J. Math. Anal. Appl. 501, No. 1, Article ID 124269, 19 p. (2021). Reviewer: Kaimin Teng (Taiyuan) MSC: 35R11 35J25 35J61 PDFBibTeX XMLCite \textit{M. Xiang} et al., J. Math. Anal. Appl. 501, No. 1, Article ID 124269, 19 p. (2021; Zbl 1472.35444) Full Text: DOI
Zhen, Maoding; Zhang, Binlin; Rădulescu, Vicenţiu D. Normalized solutions for nonlinear coupled fractional systems: low and high perturbations in the attractive case. (English) Zbl 1466.35139 Discrete Contin. Dyn. Syst. 41, No. 6, 2653-2676 (2021). Reviewer: Patrick Winkert (Berlin) MSC: 35J50 35R11 35A01 PDFBibTeX XMLCite \textit{M. Zhen} et al., Discrete Contin. Dyn. Syst. 41, No. 6, 2653--2676 (2021; Zbl 1466.35139) Full Text: DOI
Van Thin, Nguyen; Xiang, Mingqi; Zhang, Binlin On critical Schrödinger-Kirchhoff-type problems involving the fractional \(p\)-Laplacian with potential vanishing at infinity. (English) Zbl 1456.35223 Mediterr. J. Math. 18, No. 1, Paper No. 1, 27 p. (2021). MSC: 35R11 35J92 35A15 35J60 PDFBibTeX XMLCite \textit{N. Van Thin} et al., Mediterr. J. Math. 18, No. 1, Paper No. 1, 27 p. (2021; Zbl 1456.35223) Full Text: DOI
Xiang, Mingqi; Yang, Di; Zhang, Binlin Degenerate Kirchhoff-type fractional diffusion problem with logarithmic nonlinearity. (English) Zbl 1454.35305 Asymptotic Anal. 118, No. 4, 313-329 (2020). Reviewer: Prince Romeo Mensah (London) MSC: 35Q35 35B44 35A01 35R11 26A33 PDFBibTeX XMLCite \textit{M. Xiang} et al., Asymptotic Anal. 118, No. 4, 313--329 (2020; Zbl 1454.35305) Full Text: DOI
Xiang, Mingqi; Yang, Di; Zhang, Binlin Homoclinic solutions for Hamiltonian systems with variable-order fractional derivatives. (English) Zbl 1454.37059 Complex Var. Elliptic Equ. 65, No. 8, 1412-1432 (2020). MSC: 37J46 34A08 26A33 35R11 PDFBibTeX XMLCite \textit{M. Xiang} et al., Complex Var. Elliptic Equ. 65, No. 8, 1412--1432 (2020; Zbl 1454.37059) Full Text: DOI
Liang, Sihua; Repovš, Dušan D.; Zhang, Binlin Fractional magnetic Schrödinger-Kirchhoff problems with convolution and critical nonlinearities. (English) Zbl 1448.35128 Math. Methods Appl. Sci. 43, No. 5, 2473-2490 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J10 35J60 35R11 PDFBibTeX XMLCite \textit{S. Liang} et al., Math. Methods Appl. Sci. 43, No. 5, 2473--2490 (2020; Zbl 1448.35128) Full Text: DOI arXiv
Liang, Sihua; Chung, Nguyen Thanh; Zhang, Binlin Multi-bump solutions for fractional Schrödinger equation with electromagnetic fields and critical nonlinearity. (English) Zbl 1448.35127 Adv. Differ. Equ. 25, No. 7-8, 423-456 (2020). MSC: 35J10 35R11 35J60 35A01 35A15 PDFBibTeX XMLCite \textit{S. Liang} et al., Adv. Differ. Equ. 25, No. 7--8, 423--456 (2020; Zbl 1448.35127) Full Text: Euclid
Xiang, Mingqi; Zhang, Binlin; Hu, Die Kirchhoff-type differential inclusion problems involving the fractional Laplacian and strong damping. (English) Zbl 1442.35272 Electron. Res. Arch. 28, No. 2, 651-669 (2020). MSC: 35L86 35L72 35L20 35R09 PDFBibTeX XMLCite \textit{M. Xiang} et al., Electron. Res. Arch. 28, No. 2, 651--669 (2020; Zbl 1442.35272) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin Homoclinic solutions for fractional discrete Laplacian equations. (English) Zbl 1441.35260 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111886, 14 p. (2020). Reviewer: Stepan Agop Tersian (Rousse) MSC: 35R11 49M25 35K05 PDFBibTeX XMLCite \textit{M. Xiang} and \textit{B. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111886, 14 p. (2020; Zbl 1441.35260) Full Text: DOI
Yu, Mei; Zhang, Xia; Zhang, Binlin Property of solutions for elliptic equation involving the higher-order fractional Laplacian in \(\mathbb{R}^n_+\). (English) Zbl 1448.35563 Commun. Pure Appl. Anal. 19, No. 7, 3597-3612 (2020). MSC: 35R11 35B53 35S15 35B06 35J61 PDFBibTeX XMLCite \textit{M. Yu} et al., Commun. Pure Appl. Anal. 19, No. 7, 3597--3612 (2020; Zbl 1448.35563) Full Text: DOI
Xiang, Mingqi; Bisci, Giovanni Molica; Zhang, Binlin Variational analysis for nonlocal Yamabe-type systems. (English) Zbl 1446.35259 Discrete Contin. Dyn. Syst., Ser. S 13, No. 7, 2069-2094 (2020). Reviewer: Huansong Zhou (Wuhan) MSC: 35R11 35J50 35J60 PDFBibTeX XMLCite \textit{M. Xiang} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 7, 2069--2094 (2020; Zbl 1446.35259) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin; Rădulescu, Vicenţiu D. Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent. (English) Zbl 1427.35340 Adv. Nonlinear Anal. 9, 690-709 (2020). MSC: 35R11 35J60 35J20 35A15 47G20 PDFBibTeX XMLCite \textit{M. Xiang} et al., Adv. Nonlinear Anal. 9, 690--709 (2020; Zbl 1427.35340) Full Text: DOI
Liang, Sihua; Zhang, Binlin Fractional \(p\)-Kirchhoff problems involving critical exponents and sign-changing weight functions. (English) Zbl 1461.35214 Asymptotic Anal. 115, No. 1-2, 47-61 (2019). MSC: 35R11 35R09 35B33 35J92 35J25 PDFBibTeX XMLCite \textit{S. Liang} and \textit{B. Zhang}, Asymptotic Anal. 115, No. 1--2, 47--61 (2019; Zbl 1461.35214) Full Text: DOI
Pan, Ning; Pucci, Patrizia; Xu, Runzhang; Zhang, Binlin Degenerate Kirchhoff-type wave problems involving the fractional Laplacian with nonlinear damping and source terms. (English) Zbl 1423.35409 J. Evol. Equ. 19, No. 3, 615-643 (2019). MSC: 35R11 35L20 35L70 47G20 PDFBibTeX XMLCite \textit{N. Pan} et al., J. Evol. Equ. 19, No. 3, 615--643 (2019; Zbl 1423.35409) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin A remark on fractional \(p\)-Kirchhoff problems involving multiple zeros. (English) Zbl 1447.35116 Complex Var. Elliptic Equ. 64, No. 10, 1655-1665 (2019). MSC: 35D30 35R11 35R09 35A15 47G20 35J61 PDFBibTeX XMLCite \textit{M. Xiang} and \textit{B. Zhang}, Complex Var. Elliptic Equ. 64, No. 10, 1655--1665 (2019; Zbl 1447.35116) Full Text: DOI
Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin Correction to: “Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity”. (English) Zbl 1447.35361 Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 140, 3 p. (2019). MSC: 35R11 35A15 47G20 PDFBibTeX XMLCite \textit{X. Mingqi} et al., Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 140, 3 p. (2019; Zbl 1447.35361) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin; Repovš, Dušan Existence and multiplicity of solutions for fractional Schrödinger-Kirchhoff equations with Trudinger-Moser nonlinearity. (English) Zbl 1418.35372 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 186, 74-98 (2019). MSC: 35R11 35A15 47G20 PDFBibTeX XMLCite \textit{M. Xiang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 186, 74--98 (2019; Zbl 1418.35372) Full Text: DOI arXiv
Pucci, Patrizia; Xiang, Mingqi; Zhang, Binlin Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional \(p\)-Laplacian. (English) Zbl 1431.35233 Adv. Calc. Var. 12, No. 3, 253-275 (2019). MSC: 35R11 35A15 47G20 PDFBibTeX XMLCite \textit{P. Pucci} et al., Adv. Calc. Var. 12, No. 3, 253--275 (2019; Zbl 1431.35233) Full Text: DOI
Fiscella, Alessio; Pucci, Patrizia; Zhang, Binlin \(p\)-fractional Hardy-Schrödinger-Kirchhoff systems with critical nonlinearities. (English) Zbl 1414.35258 Adv. Nonlinear Anal. 8, 1111-1131 (2019). MSC: 35R11 35D30 35A15 47G20 PDFBibTeX XMLCite \textit{A. Fiscella} et al., Adv. Nonlinear Anal. 8, 1111--1131 (2019; Zbl 1414.35258) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin A critical fractional \(p\)-Kirchhoff type problem involving discontinuous nonlinearity. (English) Zbl 1411.35277 Discrete Contin. Dyn. Syst., Ser. S 12, No. 2, 413-433 (2019). MSC: 35R11 35A15 47G20 PDFBibTeX XMLCite \textit{M. Xiang} and \textit{B. Zhang}, Discrete Contin. Dyn. Syst., Ser. S 12, No. 2, 413--433 (2019; Zbl 1411.35277) Full Text: DOI
Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity. (English) Zbl 1407.35216 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 57, 27 p. (2019); correction ibid. 58, No. 4, Paper No. 140, 3 p. (2019). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 35R11 35A15 47G20 PDFBibTeX XMLCite \textit{X. Mingqi} et al., Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 57, 27 p. (2019; Zbl 1407.35216) Full Text: DOI
Li, Wang; Rădulescu, Vicenţiu D.; Zhang, Binlin Infinitely many solutions for fractional Kirchhoff-Schrödinger-Poisson systems. (English) Zbl 1410.35208 J. Math. Phys. 60, No. 1, 011506, 18 p. (2019). MSC: 35Q55 35G50 35R11 35A15 35A01 PDFBibTeX XMLCite \textit{W. Li} et al., J. Math. Phys. 60, No. 1, 011506, 18 p. (2019; Zbl 1410.35208) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin; Yang, Di Multiplicity results for variable-order fractional Laplacian equations with variable growth. (English) Zbl 1402.35307 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 178, 190-204 (2019). MSC: 35R11 47G20 35A15 35J35 PDFBibTeX XMLCite \textit{M. Xiang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 178, 190--204 (2019; Zbl 1402.35307) Full Text: DOI
Xiang, Mingqi; Rădulescu, Vicenţiu D.; Zhang, Binlin Combined effects for fractional Schrödinger-Kirchhoff systems with critical nonlinearities. (English) Zbl 1453.35184 ESAIM, Control Optim. Calc. Var. 24, No. 3, 1249-1273 (2018). MSC: 35R11 35D30 35A15 35J47 PDFBibTeX XMLCite \textit{M. Xiang} et al., ESAIM, Control Optim. Calc. Var. 24, No. 3, 1249--1273 (2018; Zbl 1453.35184) Full Text: DOI
Liang, Sihua; Bisci, Giovanni Molica; Zhang, Binlin Multiple solutions for a noncooperative Kirchhoff-type system involving the fractional \(p\)-Laplacian and critical exponents. (English) Zbl 1405.35043 Math. Nachr. 291, No. 10, 1533-1546 (2018). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J60 35R11 PDFBibTeX XMLCite \textit{S. Liang} et al., Math. Nachr. 291, No. 10, 1533--1546 (2018; Zbl 1405.35043) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin; Zhang, Xia A critical Kirchhoff type problem involving the fractional \(p\)-Laplacian in \(\mathbb R^N\). (English) Zbl 1402.35308 Complex Var. Elliptic Equ. 63, No. 5, 652-670 (2018). MSC: 35R11 35D30 35A15 47G20 PDFBibTeX XMLCite \textit{M. Xiang} et al., Complex Var. Elliptic Equ. 63, No. 5, 652--670 (2018; Zbl 1402.35308) Full Text: DOI
Guo, Lifeng; Zhang, Binlin; Zhang, Yadong Fractional \(p\)-Laplacian equations on Riemannian manifolds. (English) Zbl 1401.35298 Electron. J. Differ. Equ. 2018, Paper No. 156, 17 p. (2018). MSC: 35R01 35R11 35A15 PDFBibTeX XMLCite \textit{L. Guo} et al., Electron. J. Differ. Equ. 2018, Paper No. 156, 17 p. (2018; Zbl 1401.35298) Full Text: Link
Pan, Ning; Pucci, Patrizia; Zhang, Binlin Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian. (English) Zbl 1394.35562 J. Evol. Equ. 18, No. 2, 385-409 (2018). MSC: 35R11 35L05 47G20 PDFBibTeX XMLCite \textit{N. Pan} et al., J. Evol. Equ. 18, No. 2, 385--409 (2018; Zbl 1394.35562) Full Text: DOI
Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions. (English) Zbl 1393.35090 Nonlinearity 31, No. 7, 3228-3250 (2018). MSC: 35K55 35R11 47G20 35B44 35Q91 PDFBibTeX XMLCite \textit{X. Mingqi} et al., Nonlinearity 31, No. 7, 3228--3250 (2018; Zbl 1393.35090) Full Text: DOI
Wang, Li; Zhang, Binlin; Zhang, Haijin Fractional Laplacian system involving doubly critical nonlinearities in \(\mathbb{R}^N\). (English) Zbl 1413.35019 Electron. J. Qual. Theory Differ. Equ. 2017, Paper No. 57, 17 p. (2017). MSC: 35A15 35R11 35J50 PDFBibTeX XMLCite \textit{L. Wang} et al., Electron. J. Qual. Theory Differ. Equ. 2017, Paper No. 57, 17 p. (2017; Zbl 1413.35019) Full Text: DOI
Xiang, Ming Qi; Zhang, Bin Lin; Qiu, Hong Existence of solutions for a critical fractional Kirchhoff type problem in \(\mathbb{R}^N\). (English) Zbl 1387.35610 Sci. China, Math. 60, No. 9, 1647-1660 (2017). MSC: 35R11 35A15 47G20 PDFBibTeX XMLCite \textit{M. Q. Xiang} et al., Sci. China, Math. 60, No. 9, 1647--1660 (2017; Zbl 1387.35610) Full Text: DOI
Pan, Ning; Zhang, Binlin; Cao, Jun Degenerate Kirchhoff-type diffusion problems involving the fractional \(p\)-Laplacian. (English) Zbl 1394.35563 Nonlinear Anal., Real World Appl. 37, 56-70 (2017). MSC: 35R11 35K20 PDFBibTeX XMLCite \textit{N. Pan} et al., Nonlinear Anal., Real World Appl. 37, 56--70 (2017; Zbl 1394.35563) Full Text: DOI
Zhang, Binlin; Bisci, Giovanni Molica; Xiang, Mingqi Multiplicity results for nonlocal fractional \(p\)-Kirchhoff equations via Morse theory. (English) Zbl 1370.35270 Topol. Methods Nonlinear Anal. 49, No. 2, 445-461 (2017). MSC: 35R11 35A15 35J60 58E05 PDFBibTeX XMLCite \textit{B. Zhang} et al., Topol. Methods Nonlinear Anal. 49, No. 2, 445--461 (2017; Zbl 1370.35270) Full Text: DOI Euclid
Xiang, Mingqi; Zhang, Binlin; Zhang, Xia A nonhomogeneous fractional \(p\)-Kirchhoff type problem involving critical exponent in \(\mathbb{R}^N\). (English) Zbl 1372.35348 Adv. Nonlinear Stud. 17, No. 3, 611-640 (2017). MSC: 35R11 35A15 35B33 47G20 PDFBibTeX XMLCite \textit{M. Xiang} et al., Adv. Nonlinear Stud. 17, No. 3, 611--640 (2017; Zbl 1372.35348) Full Text: DOI
Xiang, Mingqi; Pucci, Patrizia; Squassina, Marco; Zhang, Binlin Nonlocal Schrödinger-Kirchhoff equations with external magnetic field. (English) Zbl 1367.35164 Discrete Contin. Dyn. Syst. 37, No. 3, 1631-1649 (2017). MSC: 35Q60 35J60 35R11 PDFBibTeX XMLCite \textit{M. Xiang} et al., Discrete Contin. Dyn. Syst. 37, No. 3, 1631--1649 (2017; Zbl 1367.35164) Full Text: DOI arXiv
Pucci, Patricia; Xiang, Mingqi; Zhang, Binlin A diffusion problem of Kirchhoff type involving the nonlocal fractional \(p\)-Laplacian. (English) Zbl 1360.35312 Discrete Contin. Dyn. Syst. 37, No. 7, 4035-4051 (2017). MSC: 35R11 35B40 35K55 47G20 PDFBibTeX XMLCite \textit{P. Pucci} et al., Discrete Contin. Dyn. Syst. 37, No. 7, 4035--4051 (2017; Zbl 1360.35312) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin; Rădulescu, Vicenţiu D. Existence of solutions for a bi-nonlocal fractional \(p\)-Kirchhoff type problem. (English) Zbl 1443.35178 Comput. Math. Appl. 71, No. 1, 255-266 (2016). MSC: 35R11 35A15 35J60 PDFBibTeX XMLCite \textit{M. Xiang} et al., Comput. Math. Appl. 71, No. 1, 255--266 (2016; Zbl 1443.35178) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin; Wei, Zhe Existence of solutions to a class of quasilinear Schrödinger systems involving the fractional \(p\)-Laplacian. (English) Zbl 1399.35357 Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 107, 15 p. (2016). MSC: 35R11 35A15 35J60 47G20 PDFBibTeX XMLCite \textit{M. Xiang} et al., Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 107, 15 p. (2016; Zbl 1399.35357) Full Text: DOI
Wang, Li; Zhang, Binlin Infinitely many solutions for Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian and critical exponent. (English) Zbl 1353.35307 Electron. J. Differ. Equ. 2016, Paper No. 339, 18 p. (2016). MSC: 35R11 35A15 47G20 PDFBibTeX XMLCite \textit{L. Wang} and \textit{B. Zhang}, Electron. J. Differ. Equ. 2016, Paper No. 339, 18 p. (2016; Zbl 1353.35307) Full Text: Link
Xiang, Mingqi; Zhang, Binlin; Rădulescu, Vicenţiu D. Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractional \(p\)-Laplacian. (English) Zbl 1349.35413 Nonlinearity 29, No. 10, 3186-3205 (2016). MSC: 35R11 35A15 47G20 PDFBibTeX XMLCite \textit{M. Xiang} et al., Nonlinearity 29, No. 10, 3186--3205 (2016; Zbl 1349.35413) Full Text: DOI
Zhang, Xia; Zhang, Binlin; Xiang, Mingqi Ground states for fractional Schrödinger equations involving a critical nonlinearity. (English) Zbl 1346.35224 Adv. Nonlinear Anal. 5, No. 3, 293-314 (2016). MSC: 35R11 35A15 47G20 91A80 91B55 PDFBibTeX XMLCite \textit{X. Zhang} et al., Adv. Nonlinear Anal. 5, No. 3, 293--314 (2016; Zbl 1346.35224) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin; Yang, Miaomiao A fractional Kirchhoff-type problem in \(\mathbb R^N\) without the (AR) condition. (English) Zbl 1344.35170 Complex Var. Elliptic Equ. 61, No. 11, 1481-1493 (2016). MSC: 35R11 35A15 35J60 47G20 PDFBibTeX XMLCite \textit{M. Xiang} et al., Complex Var. Elliptic Equ. 61, No. 11, 1481--1493 (2016; Zbl 1344.35170) Full Text: DOI
Xiang, Mingqi; Molica Bisci, Giovanni; Tian, Guohua; Zhang, Binlin Infinitely many solutions for the stationary Kirchhoff problems involving the fractional \(p\)-Laplacian. (English) Zbl 1334.35406 Nonlinearity 29, No. 2, 357-374 (2016). MSC: 35R11 35A15 47G20 35R09 PDFBibTeX XMLCite \textit{M. Xiang} et al., Nonlinearity 29, No. 2, 357--374 (2016; Zbl 1334.35406) Full Text: DOI
Pucci, Patrizia; Xiang, Mingqi; Zhang, Binlin Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations. (English) Zbl 1334.35395 Adv. Nonlinear Anal. 5, No. 1, 27-55 (2016). Reviewer: Junichi Aramaki (Saitama) MSC: 35R11 35A15 35J60 47G20 PDFBibTeX XMLCite \textit{P. Pucci} et al., Adv. Nonlinear Anal. 5, No. 1, 27--55 (2016; Zbl 1334.35395) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin; Rădulescu, Vicenţiu D. Existence of solutions for perturbed fractional \(p\)-Laplacian equations. (English) Zbl 1332.35387 J. Differ. Equations 260, No. 2, 1392-1413 (2016). MSC: 35R11 35A15 35J60 PDFBibTeX XMLCite \textit{M. Xiang} et al., J. Differ. Equations 260, No. 2, 1392--1413 (2016; Zbl 1332.35387) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin; Ferrara, Massimiliano Multiplicity results for the non-homogeneous fractional \(p\)-Kirchhoff equations with concave-convex nonlinearities. (English) Zbl 1371.35332 Proc. A, R. Soc. Lond. 471, No. 2177, Article ID 20150034, 14 p. (2015). MSC: 35R11 35A15 PDFBibTeX XMLCite \textit{M. Xiang} et al., Proc. A, R. Soc. Lond. 471, No. 2177, Article ID 20150034, 14 p. (2015; Zbl 1371.35332) Full Text: DOI
Pucci, Patrizia; Xiang, Mingqi; Zhang, Binlin Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\). (English) Zbl 1329.35338 Calc. Var. Partial Differ. Equ. 54, No. 3, 2785-2806 (2015). Reviewer: Junichi Aramaki (Saitama) MSC: 35R11 35A15 35J60 47G20 PDFBibTeX XMLCite \textit{P. Pucci} et al., Calc. Var. Partial Differ. Equ. 54, No. 3, 2785--2806 (2015; Zbl 1329.35338) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin Degenerate Kirchhoff problems involving the fractional \(p\)-Laplacian without the (AR) condition. (English) Zbl 1335.35283 Complex Var. Elliptic Equ. 60, No. 9, 1277-1287 (2015). Reviewer: Chun-Lei Tang (Chongqing) MSC: 35R11 35A15 PDFBibTeX XMLCite \textit{M. Xiang} and \textit{B. Zhang}, Complex Var. Elliptic Equ. 60, No. 9, 1277--1287 (2015; Zbl 1335.35283) Full Text: DOI
Zhang, Binlin; Molica Bisci, Giovanni; Servadei, Raffaella Superlinear nonlocal fractional problems with infinitely many solutions. (English) Zbl 1322.35158 Nonlinearity 28, No. 7, 2247-2264 (2015). MSC: 35R11 35A15 35R09 45G05 47G20 49J45 PDFBibTeX XMLCite \textit{B. Zhang} et al., Nonlinearity 28, No. 7, 2247--2264 (2015; Zbl 1322.35158) Full Text: DOI
Zhang, Binlin; Ferrara, Massimiliano Multiplicity of solutions for a class of superlinear non-local fractional equations. (English) Zbl 1321.35256 Complex Var. Elliptic Equ. 60, No. 5, 583-595 (2015). MSC: 35R11 35A15 35J91 49J35 35R09 PDFBibTeX XMLCite \textit{B. Zhang} and \textit{M. Ferrara}, Complex Var. Elliptic Equ. 60, No. 5, 583--595 (2015; Zbl 1321.35256) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin; Guo, Xiuying Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem. (English) Zbl 1328.35287 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 120, 299-313 (2015). MSC: 35R11 35A15 35J60 35R09 PDFBibTeX XMLCite \textit{M. Xiang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 120, 299--313 (2015; Zbl 1328.35287) Full Text: DOI
Zhang, Binlin; Ferrara, Massimiliano Two weak solutions for perturbed non-local fractional equations. (English) Zbl 1321.35255 Appl. Anal. 94, No. 5, 891-902 (2015). MSC: 35R11 35R09 35A15 47G20 45G05 49J45 PDFBibTeX XMLCite \textit{B. Zhang} and \textit{M. Ferrara}, Appl. Anal. 94, No. 5, 891--902 (2015; Zbl 1321.35255) Full Text: DOI
Xiang, Mingqi; Zhang, Binlin; Ferrara, Massimiliano Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian. (English) Zbl 1317.35286 J. Math. Anal. Appl. 424, No. 2, 1021-1041 (2015). Reviewer: Nikos Katzourakis (Reading) MSC: 35R11 35R09 45K05 35A01 PDFBibTeX XMLCite \textit{M. Xiang} et al., J. Math. Anal. Appl. 424, No. 2, 1021--1041 (2015; Zbl 1317.35286) Full Text: DOI
Ferrara, Massimiliano; Molica Bisci, Giovanni; Zhang, Binlin Existence of weak solutions for non-local fractional problems via Morse theory. (English) Zbl 1310.35238 Discrete Contin. Dyn. Syst., Ser. B 19, No. 8, 2483-2499 (2014). MSC: 35R11 35A01 35D30 58E05 PDFBibTeX XMLCite \textit{M. Ferrara} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 8, 2483--2499 (2014; Zbl 1310.35238) Full Text: DOI
Ferrara, Massimiliano; Guerrini, Luca; Zhang, Binlin Multiple solutions for perturbed non-local fractional Laplacian equations. (English) Zbl 1290.35309 Electron. J. Differ. Equ. 2013, Paper No. 260, 10 p. (2013). MSC: 35R11 35R09 35A15 35S15 47G20 45G05 47G30 PDFBibTeX XMLCite \textit{M. Ferrara} et al., Electron. J. Differ. Equ. 2013, Paper No. 260, 10 p. (2013; Zbl 1290.35309) Full Text: EMIS