Guo, Yuxia; Liu, Ting Multiple peak solutions for polyharmonic equation with critical growth. (English) Zbl 1523.35187 Math. Nachr. 294, No. 2, 310-337 (2021). MSC: 35J91 35J30 35A01 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{T. Liu}, Math. Nachr. 294, No. 2, 310--337 (2021; Zbl 1523.35187) Full Text: DOI
Zhong, Deguang On a quasi-isometry for quasiconformal mapping satisfying Poisson differential inequality. (English) Zbl 1523.30031 Mathematika 67, No. 1, 61-70 (2021). MSC: 30C62 31A30 PDFBibTeX XMLCite \textit{D. Zhong}, Mathematika 67, No. 1, 61--70 (2021; Zbl 1523.30031) Full Text: DOI
Karachik, Valeriĭ Valentinovich Solution to the Dirichlet problem for the polyharmonic equation in a ball. (Russian) Zbl 1512.35224 Mat. Tr. 24, No. 2, 46-64 (2021). MSC: 35J40 31B30 35C15 PDFBibTeX XMLCite \textit{V. V. Karachik}, Mat. Tr. 24, No. 2, 46--64 (2021; Zbl 1512.35224) Full Text: DOI MNR
Dwivedi, Gaurav Existence of multiple solutions for a Kirchhoff type equation involving polyharmonic operator with exponential growth. (English) Zbl 1501.35162 Appl. Math. E-Notes 21, 577-586 (2021). MSC: 35J30 35J62 35J40 35A01 35J35 PDFBibTeX XMLCite \textit{G. Dwivedi}, Appl. Math. E-Notes 21, 577--586 (2021; Zbl 1501.35162) Full Text: Link
Zhong, Deguang; Meng, Fanning; Yuan, Wenjun On Schwarz-Pick type inequality for mappings satisfying Poisson differential inequality. (English) Zbl 1513.30117 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 3, 959-967 (2021). MSC: 30C80 31A30 PDFBibTeX XMLCite \textit{D. Zhong} et al., Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 3, 959--967 (2021; Zbl 1513.30117) Full Text: DOI
Wang, Bo; Yu, Dandan; Tan, Bao A fast Fourier-Galerkin method solving a system of integral equations for the biharmonic equation. (English) Zbl 1495.31009 J. Integral Equations Appl. 33, No. 4, 511-530 (2021). MSC: 31A30 45E05 65N30 PDFBibTeX XMLCite \textit{B. Wang} et al., J. Integral Equations Appl. 33, No. 4, 511--530 (2021; Zbl 1495.31009) Full Text: DOI
Liu, Xinliang; Zhang, Lei; Zhu, Shengxin Generalized rough polyharmonic splines for multiscale PDEs with rough coefficients. (English) Zbl 1513.65485 Numer. Math., Theory Methods Appl. 14, No. 4, 862-892 (2021). MSC: 65N35 62F15 65D07 PDFBibTeX XMLCite \textit{X. Liu} et al., Numer. Math., Theory Methods Appl. 14, No. 4, 862--892 (2021; Zbl 1513.65485) Full Text: DOI arXiv
Führer, Thomas; Haberl, Alexander; Heuer, Norbert Trace operators of the bi-Laplacian and applications. (English) Zbl 1501.65116 IMA J. Numer. Anal. 41, No. 2, 1031-1055 (2021); erratum ibid. 41, No. 1, 800 (2021). MSC: 65N30 65N12 65N15 31A30 74K20 74G65 74S05 35Q74 PDFBibTeX XMLCite \textit{T. Führer} et al., IMA J. Numer. Anal. 41, No. 2, 1031--1055 (2021; Zbl 1501.65116) Full Text: DOI arXiv
Shahane, Shantanu; Radhakrishnan, Anand; Vanka, Surya Pratap A high-order accurate meshless method for solution of incompressible fluid flow problems. (English) Zbl 07515868 J. Comput. Phys. 445, Article ID 110623, 24 p. (2021). MSC: 76Mxx 65Nxx 65Dxx PDFBibTeX XMLCite \textit{S. Shahane} et al., J. Comput. Phys. 445, Article ID 110623, 24 p. (2021; Zbl 07515868) Full Text: DOI arXiv
He, Shangqin; Feng, Xiufang A kind of operator regularization method for Cauchy problem of the Helmholtz equation in a multi-dimensional case. (English) Zbl 1479.35841 Int. J. Comput. Math. 98, No. 7, 1349-1364 (2021). MSC: 35Q60 26D15 31A25 31B30 31B35 65N20 PDFBibTeX XMLCite \textit{S. He} and \textit{X. Feng}, Int. J. Comput. Math. 98, No. 7, 1349--1364 (2021; Zbl 1479.35841) Full Text: DOI
Guan, Wen; Zhang, Hua-Bo Sign-changing solutions for Schrödinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity. (English) Zbl 1504.45009 J. Inequal. Appl. 2021, Paper No. 27, 22 p. (2021). MSC: 45K05 31A30 PDFBibTeX XMLCite \textit{W. Guan} and \textit{H.-B. Zhang}, J. Inequal. Appl. 2021, Paper No. 27, 22 p. (2021; Zbl 1504.45009) Full Text: DOI
Buoso, Davide; Luzzini, Paolo; Provenzano, Luigi; Stubbe, Joachim On the spectral asymptotics for the buckling problem. (English) Zbl 1490.35480 J. Math. Phys. 62, No. 12, Article ID 121501, 18 p. (2021). MSC: 35Q74 74G60 35B40 31A30 15A18 PDFBibTeX XMLCite \textit{D. Buoso} et al., J. Math. Phys. 62, No. 12, Article ID 121501, 18 p. (2021; Zbl 1490.35480) Full Text: DOI arXiv
Crowdy, Darren G. Viscous Marangoni flow driven by insoluble surfactant and the complex Burgers equation. (English) Zbl 1482.30102 SIAM J. Appl. Math. 81, No. 6, 2526-2546 (2021). MSC: 30E25 35Q35 31A30 PDFBibTeX XMLCite \textit{D. G. Crowdy}, SIAM J. Appl. Math. 81, No. 6, 2526--2546 (2021; Zbl 1482.30102) Full Text: DOI
Başakoğlu, Engin Regularity properties of the cubic biharmonic Schrödinger equation on the half line. (English) Zbl 1483.35197 SN Partial Differ. Equ. Appl. 2, No. 4, Paper No. 52, 37 p. (2021). MSC: 35Q55 35B65 35G30 31A30 PDFBibTeX XMLCite \textit{E. Başakoğlu}, SN Partial Differ. Equ. Appl. 2, No. 4, Paper No. 52, 37 p. (2021; Zbl 1483.35197) Full Text: DOI
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas A family of \(C^1\) quadrilateral finite elements. (English) Zbl 1480.65339 Adv. Comput. Math. 47, No. 6, Paper No. 82, 38 p. (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65D07 31A30 PDFBibTeX XMLCite \textit{M. Kapl} et al., Adv. Comput. Math. 47, No. 6, Paper No. 82, 38 p. (2021; Zbl 1480.65339) Full Text: DOI arXiv
Hu, Jun; Ma, Rui; Zhang, Min A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids. (English) Zbl 1491.65141 Sci. China, Math. 64, No. 12, 2793-2816 (2021). MSC: 65N30 65N12 31A30 74S05 PDFBibTeX XMLCite \textit{J. Hu} et al., Sci. China, Math. 64, No. 12, 2793--2816 (2021; Zbl 1491.65141) Full Text: DOI arXiv
Karachik, Valery V.; Turmetov, Batirkhan Kh. On solvability of some boundary value problems with involution for the biharmonic equation. (English) Zbl 1480.31003 Ashyralyev, Allaberen (ed.) et al., Functional analysis in interdisciplinary applications II. Collected papers based on the presentations at the mini-symposium, held as part of the fourth international conference on analysis and applied mathematics, ICAAM, September 6–9, 2018. Cham: Springer. Springer Proc. Math. Stat. 351, 75-90 (2021). MSC: 31B30 35J40 35A01 35A02 PDFBibTeX XMLCite \textit{V. V. Karachik} and \textit{B. Kh. Turmetov}, Springer Proc. Math. Stat. 351, 75--90 (2021; Zbl 1480.31003) Full Text: DOI
Fu, Guosheng Uniform auxiliary space preconditioning for HDG methods for elliptic operators with a parameter dependent low order term. (English) Zbl 1478.65123 SIAM J. Sci. Comput. 43, No. 6, A3912-A3937 (2021). MSC: 65N30 65N12 76S05 76D07 31A30 35J25 65F08 65F10 PDFBibTeX XMLCite \textit{G. Fu}, SIAM J. Sci. Comput. 43, No. 6, A3912--A3937 (2021; Zbl 1478.65123) Full Text: DOI arXiv
Guan, Qingguang Some estimates of virtual element methods for fourth order problems. (English) Zbl 1478.65126 Electron. Res. Arch. 29, No. 6, 4099-4118 (2021). MSC: 65N30 65N50 35J40 65N15 31A30 PDFBibTeX XMLCite \textit{Q. Guan}, Electron. Res. Arch. 29, No. 6, 4099--4118 (2021; Zbl 1478.65126) Full Text: DOI arXiv
Nazarov, S. A. Propagating and standing Rayleigh waves near rivet chains connecting Kirchhoff plates. (English. Russian original) Zbl 1480.35146 Sib. Math. J. 62, No. 6, 1084-1099 (2021); translation from Sib. Mat. Zh. 62, No. 2, 1339-1356 (2021). MSC: 35J30 31B30 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sib. Math. J. 62, No. 6, 1084--1099 (2021; Zbl 1480.35146); translation from Sib. Mat. Zh. 62, No. 2, 1339--1356 (2021) Full Text: DOI
He, Weiyong; Jiang, Ruiqi Polyharmonic almost complex structures. (English) Zbl 1482.53037 J. Geom. Anal. 31, No. 12, 11648-11684 (2021). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C15 58E20 35J48 35B65 PDFBibTeX XMLCite \textit{W. He} and \textit{R. Jiang}, J. Geom. Anal. 31, No. 12, 11648--11684 (2021; Zbl 1482.53037) Full Text: DOI arXiv
Khalfallah, Adel; Haggui, Fathi; Mhamdi, Mohamed Generalized harmonic functions and Schwarz lemma for biharmonic mappings. (English) Zbl 1477.31011 Monatsh. Math. 196, No. 4, 823-849 (2021). MSC: 31A30 35J40 PDFBibTeX XMLCite \textit{A. Khalfallah} et al., Monatsh. Math. 196, No. 4, 823--849 (2021; Zbl 1477.31011) Full Text: DOI
Gryshchuk, Serhii V.; Plaksa, Sergiy A. Schwartz-type boundary-value problems for canonical domains in a biharmonic plane. (English) Zbl 1477.30045 J. Math. Sci., New York 259, No. 1, 37-52 (2021) and Ukr. Mat. Visn. 18, No. 3, 338-358 (2021). MSC: 30G35 31A30 30E25 PDFBibTeX XMLCite \textit{S. V. Gryshchuk} and \textit{S. A. Plaksa}, J. Math. Sci., New York 259, No. 1, 37--52 (2021; Zbl 1477.30045) Full Text: DOI
Hamida, S.; Benrabah, A. Regularized solution of an ill-posed biharmonic equation. (English) Zbl 07424507 Rend. Circ. Mat. Palermo (2) 70, No. 3, 1709-1731 (2021). MSC: 47A52 65J20 31A30 74K20 31A25 PDFBibTeX XMLCite \textit{S. Hamida} and \textit{A. Benrabah}, Rend. Circ. Mat. Palermo (2) 70, No. 3, 1709--1731 (2021; Zbl 07424507) Full Text: DOI
Loaiza, Maribel; Morales-García, Isidro; Ramírez-Ortega, Josué Toeplitz operators with homogeneous symbols on polyharmonic spaces. (English) Zbl 1477.31012 Complex Anal. Oper. Theory 15, No. 6, Paper No. 107, 32 p. (2021). MSC: 31A30 47B35 PDFBibTeX XMLCite \textit{M. Loaiza} et al., Complex Anal. Oper. Theory 15, No. 6, Paper No. 107, 32 p. (2021; Zbl 1477.31012) Full Text: DOI
Turmetov, B. Kh.; Karachik, V. V. On a Dirichlet problem for a nonlocal polyharmonic equation. (Russian. English summary) Zbl 1479.35330 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 13, No. 2, 37-45 (2021). MSC: 35J40 35A01 PDFBibTeX XMLCite \textit{B. Kh. Turmetov} and \textit{V. V. Karachik}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 13, No. 2, 37--45 (2021; Zbl 1479.35330) Full Text: DOI MNR
Long, Boyong; Xu, Ling; Wang, Qihan Fully starlike and fully convex biharmonic mappings of order \(\alpha\). (Chinese. English summary) Zbl 1488.30098 J. Anhui Univ., Nat. Sci. 45, No. 2, 1-10 (2021). MSC: 30C45 30C50 31A30 PDFBibTeX XMLCite \textit{B. Long} et al., J. Anhui Univ., Nat. Sci. 45, No. 2, 1--10 (2021; Zbl 1488.30098) Full Text: DOI
Zhong, Deguang; Meng, Fanning; Yuan, Wenjun On a Schwarz-Pick type inequality for quasiconformal mappings of inhomogeneous polyharmonic equation. (Chinese. English summary) Zbl 1488.30161 Acta Math. Sin., Chin. Ser. 64, No. 3, 413-426 (2021). MSC: 30C62 31A30 PDFBibTeX XMLCite \textit{D. Zhong} et al., Acta Math. Sin., Chin. Ser. 64, No. 3, 413--426 (2021; Zbl 1488.30161)
Chen, Shaolin; Wang, Xiantao Bi-Lipschitz characteristic of quasiconformal self-mappings of the unit disk satisfying bi-harmonic equation. (English) Zbl 1476.30087 Indiana Univ. Math. J. 70, No. 3, 1055-1086 (2021). MSC: 30C62 31A30 PDFBibTeX XMLCite \textit{S. Chen} and \textit{X. Wang}, Indiana Univ. Math. J. 70, No. 3, 1055--1086 (2021; Zbl 1476.30087) Full Text: DOI arXiv
Plaksa, S. A. Monogenic functions in commutative algebras and elliptic equations of mathematical physics. (Ukrainian. English summary) Zbl 1488.30241 Zb. Pr. Inst. Mat. NAN Ukr. 18, No. 1, 508-554 (2021). MSC: 30G35 35J05 31A30 PDFBibTeX XMLCite \textit{S. A. Plaksa}, Zb. Pr. Inst. Mat. NAN Ukr. 18, No. 1, 508--554 (2021; Zbl 1488.30241)
Liu, Xuan; Zhang, Ting Global solutions for \(H^s\)-critical nonlinear biharmonic Schrödinger equation. (English) Zbl 1479.35807 Z. Angew. Math. Phys. 72, No. 5, Paper No. 177, 21 p. (2021). MSC: 35Q55 35Q41 35K15 35K55 35B65 35A01 35A02 31A30 PDFBibTeX XMLCite \textit{X. Liu} and \textit{T. Zhang}, Z. Angew. Math. Phys. 72, No. 5, Paper No. 177, 21 p. (2021; Zbl 1479.35807) Full Text: DOI arXiv
Karachik, V. V. Sufficient conditions for solvability of one class of Neumann-type problems for the polyharmonic equation. (English. Russian original) Zbl 1473.35188 Comput. Math. Math. Phys. 61, No. 8, 1276-1288 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 8, 1295-1308 (2021). MSC: 35J40 31B30 35A01 PDFBibTeX XMLCite \textit{V. V. Karachik}, Comput. Math. Math. Phys. 61, No. 8, 1276--1288 (2021; Zbl 1473.35188); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 8, 1295--1308 (2021) Full Text: DOI
Zhang, Shangyou Erratum to: “A C1-P2 finite element without nodal basis”. (English) Zbl 1479.65032 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 877-878 (2021). Reviewer: Dana Černá (Liberec) MSC: 65N30 65N12 35J40 65N50 31A30 PDFBibTeX XMLCite \textit{S. Zhang}, ESAIM, Math. Model. Numer. Anal. 55, 877--878 (2021; Zbl 1479.65032) Full Text: DOI
Matevossian, H. A. Dirichlet-Neumann problem for the biharmonic equation in exterior domains. (English. Russian original) Zbl 1473.35179 Differ. Equ. 57, No. 8, 1020-1033 (2021); translation from Differ. Uravn. 57, No. 8, 1049-1062 (2021). MSC: 35J30 31B30 35J40 35A02 PDFBibTeX XMLCite \textit{H. A. Matevossian}, Differ. Equ. 57, No. 8, 1020--1033 (2021; Zbl 1473.35179); translation from Differ. Uravn. 57, No. 8, 1049--1062 (2021) Full Text: DOI
Capistrano-Filho, Roberto A.; Cavalcante, Márcio Stabilization and control for the biharmonic Schrödinger equation. (English) Zbl 1476.35229 Appl. Math. Optim. 84, No. 1, 103-144 (2021). MSC: 35Q55 93B05 93D15 31A30 35B65 35B20 PDFBibTeX XMLCite \textit{R. A. Capistrano-Filho} and \textit{M. Cavalcante}, Appl. Math. Optim. 84, No. 1, 103--144 (2021; Zbl 1476.35229) Full Text: DOI arXiv
Priyadarshi, Gopal; Kumar, Bayya Venkatesulu Rathish Parameter identification in multidimensional hyperbolic partial differential equations using wavelet collocation method. (English) Zbl 1512.65317 Math. Methods Appl. Sci. 44, No. 11, 9079-9095 (2021). MSC: 65T60 65C30 31A30 PDFBibTeX XMLCite \textit{G. Priyadarshi} and \textit{B. V. R. Kumar}, Math. Methods Appl. Sci. 44, No. 11, 9079--9095 (2021; Zbl 1512.65317) Full Text: DOI
Huang, Chaobao; Stynes, Martin \( \alpha \)-robust error analysis of a mixed finite element method for a time-fractional biharmonic equation. (English) Zbl 1481.65184 Numer. Algorithms 87, No. 4, 1749-1766 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 65M22 65N30 65M12 65M15 31A30 35B45 26A33 35R11 PDFBibTeX XMLCite \textit{C. Huang} and \textit{M. Stynes}, Numer. Algorithms 87, No. 4, 1749--1766 (2021; Zbl 1481.65184) Full Text: DOI
Mtiri, Foued Solutions of super-linear elliptic equations and their Morse indices. (English) Zbl 1468.35055 Math. Notes 109, No. 5, 759-776 (2021). MSC: 35J30 PDFBibTeX XMLCite \textit{F. Mtiri}, Math. Notes 109, No. 5, 759--776 (2021; Zbl 1468.35055) Full Text: DOI arXiv
Berchio, Elvise; Falocchi, Alessio A positivity preserving property result for the biharmonic operator under partially hinged boundary conditions. (English) Zbl 1468.35053 Ann. Mat. Pura Appl. (4) 200, No. 4, 1651-1681 (2021). MSC: 35J30 31A30 35B09 PDFBibTeX XMLCite \textit{E. Berchio} and \textit{A. Falocchi}, Ann. Mat. Pura Appl. (4) 200, No. 4, 1651--1681 (2021; Zbl 1468.35053) Full Text: DOI arXiv
Haratbar, Siamak Rabienia Inverse scattering and stability for the biharmonic operator. (English) Zbl 1467.35347 Inverse Probl. Imaging 15, No. 2, 271-283 (2021). MSC: 35R30 35J10 35J30 47A40 31B30 PDFBibTeX XMLCite \textit{S. R. Haratbar}, Inverse Probl. Imaging 15, No. 2, 271--283 (2021; Zbl 1467.35347) Full Text: DOI
Gander, Martin J.; Liu, Yongxiang Is there more than one Dirichlet-Neumann algorithm for the biharmonic problem? (English) Zbl 1477.65259 SIAM J. Sci. Comput. 43, No. 3, A1881-A1906 (2021). MSC: 65N55 31A30 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{Y. Liu}, SIAM J. Sci. Comput. 43, No. 3, A1881--A1906 (2021; Zbl 1477.65259) Full Text: DOI
Saanouni, Tarek Energy scattering for radial focusing inhomogeneous bi-harmonic Schrödinger equations. (English) Zbl 1472.35362 Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 113, 27 p. (2021). MSC: 35Q55 35P25 35B40 31A30 PDFBibTeX XMLCite \textit{T. Saanouni}, Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 113, 27 p. (2021; Zbl 1472.35362) Full Text: DOI arXiv
Karachik, V. V. Green’s functions of the Navier and Riquier-Neumann problems for the biharmonic equation in the ball. (English. Russian original) Zbl 1479.35329 Differ. Equ. 57, No. 5, 654-668 (2021); translation from Differ. Uravn. 57, No. 5, 673-686 (2021). MSC: 35J40 31B30 PDFBibTeX XMLCite \textit{V. V. Karachik}, Differ. Equ. 57, No. 5, 654--668 (2021; Zbl 1479.35329); translation from Differ. Uravn. 57, No. 5, 673--686 (2021) Full Text: DOI
Hu, Jun; Liang, Yizhou Conforming discrete gradgrad-complexes in three dimensions. (English) Zbl 1479.65028 Math. Comput. 90, No. 330, 1637-1662 (2021). Reviewer: Vladimir Vasilyev (Belgorod) MSC: 65N30 31A30 83C22 35Q76 PDFBibTeX XMLCite \textit{J. Hu} and \textit{Y. Liang}, Math. Comput. 90, No. 330, 1637--1662 (2021; Zbl 1479.65028) Full Text: DOI arXiv
Nasibullin, Ramil Avkhadiev-Backer type \(p\)-valent conditions for biharmonic functions. (English) Zbl 1468.31004 Anal. Math. Phys. 11, No. 2, Paper No. 80, 23 p. (2021). MSC: 31A30 31A05 PDFBibTeX XMLCite \textit{R. Nasibullin}, Anal. Math. Phys. 11, No. 2, Paper No. 80, 23 p. (2021; Zbl 1468.31004) Full Text: DOI
Luo, Senping; Wei, Juncheng; Zou, Wenming Decomposition of polyharmonic operator and classification of homogeneous stable solutions. (English) Zbl 1475.35144 Proc. Am. Math. Soc. 149, No. 7, 2957-2968 (2021). Reviewer: Davide Buoso (Alessandria) MSC: 35J30 PDFBibTeX XMLCite \textit{S. Luo} et al., Proc. Am. Math. Soc. 149, No. 7, 2957--2968 (2021; Zbl 1475.35144) Full Text: DOI
Dong, Zhaonan; Mascotto, Lorenzo; Sutton, Oliver J. Residual-based a posteriori error estimates for \(hp\)-discontinuous Galerkin discretizations of the biharmonic problem. (English) Zbl 1473.65297 SIAM J. Numer. Anal. 59, No. 3, 1273-1298 (2021). MSC: 65N30 65N12 65N15 65N50 31A30 PDFBibTeX XMLCite \textit{Z. Dong} et al., SIAM J. Numer. Anal. 59, No. 3, 1273--1298 (2021; Zbl 1473.65297) Full Text: DOI arXiv
Chen, Shaolin; Kalaj, David On asymptotically sharp bi-Lipschitz inequalities of quasiconformal mappings satisfying inhomogeneous polyharmonic equations. (English) Zbl 1462.30043 J. Geom. Anal. 31, No. 5, 4865-4905 (2021). MSC: 30C62 31A30 PDFBibTeX XMLCite \textit{S. Chen} and \textit{D. Kalaj}, J. Geom. Anal. 31, No. 5, 4865--4905 (2021; Zbl 1462.30043) Full Text: DOI arXiv
Cui, Mingrong A compact difference scheme for time-fractional Dirichlet biharmonic equation on temporal graded meshes. (English) Zbl 1468.65095 East Asian J. Appl. Math. 11, No. 1, 164-180 (2021). MSC: 65M06 65M12 65M15 65N06 65N22 31A30 35R11 PDFBibTeX XMLCite \textit{M. Cui}, East Asian J. Appl. Math. 11, No. 1, 164--180 (2021; Zbl 1468.65095) Full Text: DOI
Luo, Qinghong; Ponnusamy, Saminathan One parameter family of univalent polyharmonic mappings. (English) Zbl 1462.31006 Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 839-856 (2021). MSC: 31A30 PDFBibTeX XMLCite \textit{Q. Luo} and \textit{S. Ponnusamy}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 839--856 (2021; Zbl 1462.31006) Full Text: DOI
Luyen, Duong Trong Infinitely many solutions for a fourth-order semilinear elliptic equations perturbed from symmetry. (English) Zbl 1465.35171 Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1701-1725 (2021). MSC: 35J40 31B30 35A01 PDFBibTeX XMLCite \textit{D. T. Luyen}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1701--1725 (2021; Zbl 1465.35171) Full Text: DOI
Grishanina, G. E.; Mukhamadiev, E. M. Necessary and sufficient condition for the existence of a classical solution of the inhomogeneous biharmonic equation. (English. Russian original) Zbl 1465.35168 Differ. Equ. 57, No. 3, 304-316 (2021); translation from Differ. Uravn. 57, No. 3, 326-337 (2021). MSC: 35J30 31A30 35A01 PDFBibTeX XMLCite \textit{G. E. Grishanina} and \textit{E. M. Mukhamadiev}, Differ. Equ. 57, No. 3, 304--316 (2021; Zbl 1465.35168); translation from Differ. Uravn. 57, No. 3, 326--337 (2021) Full Text: DOI
Meyer, Marcela Molina; Prieto Medina, Frank Richard Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions. (English) Zbl 1524.65896 Comput. Math. Appl. 89, 1-19 (2021). MSC: 65N35 35J05 35J25 65L10 31A30 45D05 41A50 PDFBibTeX XMLCite \textit{M. M. Meyer} and \textit{F. R. Prieto Medina}, Comput. Math. Appl. 89, 1--19 (2021; Zbl 1524.65896) Full Text: DOI arXiv
Liu, Yan-Cheng; Fan, Chia-Ming; Yeih, Weichung; Ku, Cheng-Yu; Chu, Chiung-Lin Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method. (English) Zbl 1524.65894 Comput. Math. Appl. 88, 120-134 (2021). MSC: 65N35 35J05 65N80 31A30 65F50 65F35 PDFBibTeX XMLCite \textit{Y.-C. Liu} et al., Comput. Math. Appl. 88, 120--134 (2021; Zbl 1524.65894) Full Text: DOI
Oruç, Ömer A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov-Rubenchik equations. (English) Zbl 1508.65145 Appl. Math. Comput. 394, Article ID 125787, 16 p. (2021); corrigendum ibid. 418, Article ID 126852, 2 p. (2022). MSC: 65M70 65D12 PDFBibTeX XMLCite \textit{Ö. Oruç}, Appl. Math. Comput. 394, Article ID 125787, 16 p. (2021; Zbl 1508.65145) Full Text: DOI
Tran Nhat Luan; Tran Thi Khieu; Tra Quoc Khanh A filter method with a priori and a posteriori parameter choice for the regularization of Cauchy problems for biharmonic equations. (English) Zbl 1460.31023 Numer. Algorithms 86, No. 4, 1721-1746 (2021). MSC: 31B30 47A52 65F22 65J20 PDFBibTeX XMLCite \textit{Tran Nhat Luan} et al., Numer. Algorithms 86, No. 4, 1721--1746 (2021; Zbl 1460.31023) Full Text: DOI
Alsaedi, R.; Dhifli, A.; Ghanmi, A. Low perturbations of \(p\)-biharmonic equations with competing nonlinearities. (English) Zbl 1460.31020 Complex Var. Elliptic Equ. 66, No. 4, 642-657 (2021). MSC: 31B30 35A01 35J35 PDFBibTeX XMLCite \textit{R. Alsaedi} et al., Complex Var. Elliptic Equ. 66, No. 4, 642--657 (2021; Zbl 1460.31020) Full Text: DOI
Emek, Serkan Iterated Robin problem for the higher-order Poisson equation. (English) Zbl 1460.31007 Complex Var. Elliptic Equ. 66, No. 1, 35-52 (2021). MSC: 31A30 31A25 PDFBibTeX XMLCite \textit{S. Emek}, Complex Var. Elliptic Equ. 66, No. 1, 35--52 (2021; Zbl 1460.31007) Full Text: DOI
Becker, Simon; Gregorio, Federica; Mugnolo, Delio Schrödinger and polyharmonic operators on infinite graphs: parabolic well-posedness and \(p\)-independence of spectra. (English) Zbl 1460.35091 J. Math. Anal. Appl. 495, No. 2, Article ID 124748, 44 p. (2021). MSC: 35J10 31B30 35R02 PDFBibTeX XMLCite \textit{S. Becker} et al., J. Math. Anal. Appl. 495, No. 2, Article ID 124748, 44 p. (2021; Zbl 1460.35091) Full Text: DOI arXiv
He, Qihan; Lv, Zongyan Existence and nonexistence of nontrivial solutions for critical biharmonic equations. (English) Zbl 1459.35214 J. Math. Anal. Appl. 495, No. 1, Article ID 124713, 30 p. (2021). MSC: 35J91 35J40 31B30 PDFBibTeX XMLCite \textit{Q. He} and \textit{Z. Lv}, J. Math. Anal. Appl. 495, No. 1, Article ID 124713, 30 p. (2021; Zbl 1459.35214) Full Text: DOI
Führer, Thomas; Haberl, Alexander; Heuer, Norbert Erratum to: “Trace operators of the bi-Laplacian and applications”. (English) Zbl 1508.65158 IMA J. Numer. Anal. 41, No. 1, 800 (2021). MSC: 65N30 65N12 65N15 31A30 74K20 74G65 74S05 35Q74 PDFBibTeX XMLCite \textit{T. Führer} et al., IMA J. Numer. Anal. 41, No. 1, 800 (2021; Zbl 1508.65158) Full Text: DOI
Carstensen, Carsten; Mallik, Gouranga; Nataraj, Neela Nonconforming finite element discretization for semilinear problems with trilinear nonlinearity. (English) Zbl 1460.65145 IMA J. Numer. Anal. 41, No. 1, 164-205 (2021). MSC: 65N30 65N15 65N12 31A30 35J61 65J08 PDFBibTeX XMLCite \textit{C. Carstensen} et al., IMA J. Numer. Anal. 41, No. 1, 164--205 (2021; Zbl 1460.65145) Full Text: DOI arXiv
Chen, Nanbo; Huang, Zhihua; Liu, Xiaochun Biharmonic equations with totally characteristic degeneracy. (English) Zbl 1459.35125 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 203, Article ID 112156, 21 p. (2021). MSC: 35J40 58J05 31B30 31B25 35J70 35A01 PDFBibTeX XMLCite \textit{N. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 203, Article ID 112156, 21 p. (2021; Zbl 1459.35125) Full Text: DOI
Xu, Shipeng A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes. (English) Zbl 1460.65150 Appl. Numer. Math. 161, 510-524 (2021). MSC: 65N30 65N15 35J15 76D07 31A30 65N85 PDFBibTeX XMLCite \textit{S. Xu}, Appl. Numer. Math. 161, 510--524 (2021; Zbl 1460.65150) Full Text: DOI
Shi, Dongyang; Wu, Yanmi Quasi-uniform convergence analysis of rectangular Morley element for the singularly perturbed bi-wave equation. (English) Zbl 1464.65185 Appl. Numer. Math. 161, 169-177 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 31A30 65N12 35B25 35J30 PDFBibTeX XMLCite \textit{D. Shi} and \textit{Y. Wu}, Appl. Numer. Math. 161, 169--177 (2021; Zbl 1464.65185) Full Text: DOI
Abdelhak, Hadj; Saker, Hacene Corrigendum to: “Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients”. (English) Zbl 1472.31006 Appl. Numer. Math. 161, 147 (2021). MSC: 31A30 35J40 35R30 PDFBibTeX XMLCite \textit{H. Abdelhak} and \textit{H. Saker}, Appl. Numer. Math. 161, 147 (2021; Zbl 1472.31006) Full Text: DOI
Hadj, Abdelhak; Saker, Hacene Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients. (English) Zbl 1459.31002 Appl. Numer. Math. 160, 436-450 (2021); corrigendum ibid. 161, 147 (2021). MSC: 31A30 35J40 35R30 PDFBibTeX XMLCite \textit{A. Hadj} and \textit{H. Saker}, Appl. Numer. Math. 160, 436--450 (2021; Zbl 1459.31002) Full Text: DOI
Huang, Jianguo; Yu, Yue A medius error analysis for nonconforming virtual element methods for Poisson and biharmonic equations. (English) Zbl 1457.65197 J. Comput. Appl. Math. 386, Article ID 113229, 21 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 35J05 31A30 35D30 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Y. Yu}, J. Comput. Appl. Math. 386, Article ID 113229, 21 p. (2021; Zbl 1457.65197) Full Text: DOI
Li, Xi; Li, Tongmao; Tu, Rungting; Pan, Kejia; Chen, Chuanjun; Yang, Xiaofeng Efficient energy stable scheme for volume-conserved phase-field elastic bending energy model of lipid vesicles. (English) Zbl 1466.65071 J. Comput. Appl. Math. 385, Article ID 113177, 18 p. (2021). MSC: 65M06 65N30 65M12 31A30 92C37 35Q92 PDFBibTeX XMLCite \textit{X. Li} et al., J. Comput. Appl. Math. 385, Article ID 113177, 18 p. (2021; Zbl 1466.65071) Full Text: DOI
Abreu Blaya, R. A Riemann jump problem for biharmonic functions in fractal domains. (English) Zbl 1456.31003 Anal. Math. Phys. 11, No. 1, Paper No. 22, 13 p. (2021). MSC: 31A30 31A25 PDFBibTeX XMLCite \textit{R. Abreu Blaya}, Anal. Math. Phys. 11, No. 1, Paper No. 22, 13 p. (2021; Zbl 1456.31003) Full Text: DOI
Su, Yu; Shi, Hongxia Ground state solution of critical biharmonic equation with Hardy potential and \(p\)-Laplacian. (English) Zbl 1454.35106 Appl. Math. Lett. 112, Article ID 106802, 7 p. (2021). MSC: 35J30 31B30 35B33 35A01 PDFBibTeX XMLCite \textit{Y. Su} and \textit{H. Shi}, Appl. Math. Lett. 112, Article ID 106802, 7 p. (2021; Zbl 1454.35106) Full Text: DOI
Leykekhman, D. Pointwise error estimates for \(C^0\) interior penalty approximation of biharmonic problems. (English) Zbl 1452.65347 Math. Comput. 90, No. 327, 41-63 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 31A30 PDFBibTeX XMLCite \textit{D. Leykekhman}, Math. Comput. 90, No. 327, 41--63 (2021; Zbl 1452.65347) Full Text: DOI
Palta, Birce; Oh, Hae-Soo Numerical solutions of biharmonic equations on non-convex polygonal domains. (English) Zbl 1486.65262 J. Comput. Appl. Math. 381, Article ID 113022, 20 p. (2021). MSC: 65N30 65D07 65N55 65Y05 31A30 PDFBibTeX XMLCite \textit{B. Palta} and \textit{H.-S. Oh}, J. Comput. Appl. Math. 381, Article ID 113022, 20 p. (2021; Zbl 1486.65262) Full Text: DOI