Akel, Mohamed; Begehr, Heinrich; Mohammed, Alip A Neumann problem for the polyanalytic operator in planar domains with harmonic Green function. (English) Zbl 07569262 Appl. Anal. 101, No. 11, 3816-3824 (2022). MSC: 30E25 30G20 31A10 31A30 35J40 PDF BibTeX XML Cite \textit{M. Akel} et al., Appl. Anal. 101, No. 11, 3816--3824 (2022; Zbl 07569262) Full Text: DOI OpenURL
Long, Bo-Yong; Wang, Qi-Han Construction and determination of univalent biharmonic mappings. (English) Zbl 07555158 Rocky Mt. J. Math. 52, No. 2, 627-643 (2022). MSC: 30C45 31A05 31A30 PDF BibTeX XML Cite \textit{B.-Y. Long} and \textit{Q.-H. Wang}, Rocky Mt. J. Math. 52, No. 2, 627--643 (2022; Zbl 07555158) Full Text: DOI Link OpenURL
Akel, Mohamed; Begehr, Heinrich; Mohammed, Alip Integral representations in the complex plane and iterated boundary value problems. (English) Zbl 07555144 Rocky Mt. J. Math. 52, No. 2, 381-413 (2022). MSC: 30E25 30G20 31A10 31A30 35J40 PDF BibTeX XML Cite \textit{M. Akel} et al., Rocky Mt. J. Math. 52, No. 2, 381--413 (2022; Zbl 07555144) Full Text: DOI Link OpenURL
Karachik, Valery Green’s functions of some boundary value problems for the biharmonic equation. (English) Zbl 07548765 Complex Var. Elliptic Equ. 67, No. 7, 1712-1736 (2022). MSC: 31B30 35J08 35J67 PDF BibTeX XML Cite \textit{V. Karachik}, Complex Var. Elliptic Equ. 67, No. 7, 1712--1736 (2022; Zbl 07548765) Full Text: DOI OpenURL
Shpakivskyi, Vitalii; Kuzmenko, Tetiana Hausdorff analytic functions in a three-dimensional associative noncommutative algebra. (English) Zbl 07543076 J. Math. Sci., New York 262, No. 2, 207-221 (2022) and Ukr. Mat. Visn. 19, No. 1, 103-120 (2022). MSC: 30G35 35J05 31B30 PDF BibTeX XML Cite \textit{V. Shpakivskyi} and \textit{T. Kuzmenko}, J. Math. Sci., New York 262, No. 2, 207--221 (2022; Zbl 07543076) Full Text: DOI OpenURL
Campos, Luccas; Guzmán, Carlos M. Scattering for the non-radial inhomogenous biharmonic NLS equation. (English) Zbl 07542669 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 156, 15 p. (2022). MSC: 35Q55 35Q41 35A01 35P25 31A30 PDF BibTeX XML Cite \textit{L. Campos} and \textit{C. M. Guzmán}, Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 156, 15 p. (2022; Zbl 07542669) Full Text: DOI OpenURL
Belyaev, V. A.; Bryndin, L. S.; Golushko, S. K.; Semisalov, B. V.; Shapeev, V. P. h-, p-, and hp-versions of the least-squares collocation method for solving boundary value problems for biharmonic equation in irregular domains and their applications. (English. Russian original) Zbl 07538076 Comput. Math. Math. Phys. 62, No. 4, 517-537 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 4, 531-552 (2022). MSC: 65N35 65N12 65N55 31A30 74K20 35Q74 PDF BibTeX XML Cite \textit{V. A. Belyaev} et al., Comput. Math. Math. Phys. 62, No. 4, 517--537 (2022; Zbl 07538076); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 4, 531--552 (2022) Full Text: DOI OpenURL
Ye, Xiu; Zhang, Shangyou A weak divergence CDG method for the biharmonic equation on triangular and tetrahedral meshes. (English) Zbl 07533822 Appl. Numer. Math. 178, 155-165 (2022). MSC: 65N30 65N50 65N15 35J05 31A30 PDF BibTeX XML Cite \textit{X. Ye} and \textit{S. Zhang}, Appl. Numer. Math. 178, 155--165 (2022; Zbl 07533822) Full Text: DOI OpenURL
Wang, Xu; Schiavone, Peter In-plane deformations of a circular elastic inhomogeneity with an eccentric interphase layer. (English) Zbl 07517425 Z. Angew. Math. Phys. 73, No. 3, Paper No. 101, 20 p. (2022). MSC: 30E25 31A30 PDF BibTeX XML Cite \textit{X. Wang} and \textit{P. Schiavone}, Z. Angew. Math. Phys. 73, No. 3, Paper No. 101, 20 p. (2022; Zbl 07517425) Full Text: DOI OpenURL
Li, Yimei; Wang, Changyou Regularity of weak solution of variational problems modeling the Cosserat micropolar elasticity. (English) Zbl 07504304 Int. Math. Res. Not. 2022, No. 6, 4620-4658 (2022). MSC: 35J05 31B30 PDF BibTeX XML Cite \textit{Y. Li} and \textit{C. Wang}, Int. Math. Res. Not. 2022, No. 6, 4620--4658 (2022; Zbl 07504304) Full Text: DOI OpenURL
Li, Peijin; Luo, Qinghong; Ponnusamy, Saminathan Schwarz-Pick and Landau type theorems for solutions to the Dirichlet-Neumann problem in the unit disk. (English) Zbl 1486.31008 Comput. Methods Funct. Theory 22, No. 1, 95-113 (2022). MSC: 31A30 35J40 30C80 PDF BibTeX XML Cite \textit{P. Li} et al., Comput. Methods Funct. Theory 22, No. 1, 95--113 (2022; Zbl 1486.31008) Full Text: DOI OpenURL
Li, Peijin; Ponnusamy, Saminathan Bi-Lipschitz continuity of quasiconformal solutions to a biharmonic Dirichlet-Neumann problem in the unit disk. (English) Zbl 1486.31009 J. Geom. Anal. 32, No. 5, Paper No. 170, 30 p. (2022). MSC: 31A30 30C62 26A16 PDF BibTeX XML Cite \textit{P. Li} and \textit{S. Ponnusamy}, J. Geom. Anal. 32, No. 5, Paper No. 170, 30 p. (2022; Zbl 1486.31009) Full Text: DOI OpenURL
Saanouni, Tarek Scattering for radial defocusing inhomogeneous bi-harmonic Schrödinger equations. (English) Zbl 07496369 Potential Anal. 56, No. 4, 649-667 (2022). MSC: 35Q55 35B40 35P25 31A30 PDF BibTeX XML Cite \textit{T. Saanouni}, Potential Anal. 56, No. 4, 649--667 (2022; Zbl 07496369) Full Text: DOI OpenURL
Carstensen, Carsten; Nataraj, Neela Lowest-order equivalent nonstandard finite element methods for biharmonic plates. (English) Zbl 1483.65177 ESAIM, Math. Model. Numer. Anal. 56, No. 1, 41-78 (2022). MSC: 65N30 65N12 65N15 65N50 31A30 74K20 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{N. Nataraj}, ESAIM, Math. Model. Numer. Anal. 56, No. 1, 41--78 (2022; Zbl 1483.65177) Full Text: DOI arXiv OpenURL
Guo, Yuxia; Liu, Ting Bubble solutions for a supercritical polyharmonic Hénon-type equation. (English) Zbl 1481.35231 Manuscr. Math. 167, No. 1-2, 37-64 (2022). MSC: 35J91 35J30 35A01 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{T. Liu}, Manuscr. Math. 167, No. 1--2, 37--64 (2022; Zbl 1481.35231) Full Text: DOI OpenURL
Chen, C. S.; Jankowska, Malgorzata A.; Karageorghis, Andreas RBF-DQ algorithms for elliptic problems in axisymmetric domains. (English) Zbl 1481.65236 Numer. Algorithms 89, No. 1, 33-63 (2022). MSC: 65N35 65N22 35J05 65T50 31A30 74B05 74S25 35Q74 PDF BibTeX XML Cite \textit{C. S. Chen} et al., Numer. Algorithms 89, No. 1, 33--63 (2022; Zbl 1481.65236) Full Text: DOI OpenURL
Nair, M. Thamban; Shylaja, Devika Conforming and nonconforming finite element methods for biharmonic inverse source problem. (English) Zbl 07455590 Inverse Probl. 38, No. 2, Article ID 025001, 36 p. (2022). MSC: 65N21 65N20 65J20 65N30 65N15 31A30 35R25 PDF BibTeX XML Cite \textit{M. T. Nair} and \textit{D. Shylaja}, Inverse Probl. 38, No. 2, Article ID 025001, 36 p. (2022; Zbl 07455590) Full Text: DOI arXiv OpenURL
Feng, Zhaosheng; Su, Yu Ground state solution to the biharmonic equation. (English) Zbl 1480.35144 Z. Angew. Math. Phys. 73, No. 1, Paper No. 15, 24 p. (2022). MSC: 35J30 31B30 35A01 35A15 PDF BibTeX XML Cite \textit{Z. Feng} and \textit{Y. Su}, Z. Angew. Math. Phys. 73, No. 1, Paper No. 15, 24 p. (2022; Zbl 1480.35144) Full Text: DOI OpenURL
He, Yi; Luo, Xiao; Rădulescu, Vicenţiu D. Nodal multi-peak standing waves of fourth-order Schrödinger equations with mixed dispersion. (English) Zbl 1479.35794 J. Geom. Anal. 32, No. 1, Paper No. 30, 36 p. (2022). MSC: 35Q55 35B40 35J30 35J50 35J61 35B25 35B35 35B65 31A30 35A01 PDF BibTeX XML Cite \textit{Y. He} et al., J. Geom. Anal. 32, No. 1, Paper No. 30, 36 p. (2022; Zbl 1479.35794) Full Text: DOI OpenURL
Meng, Jian; Mei, Liquan The optimal order convergence for the lowest order mixed finite element method of the biharmonic eigenvalue problem. (English) Zbl 1481.65217 J. Comput. Appl. Math. 402, Article ID 113783, 14 p. (2022). MSC: 65N25 65N30 65N15 65N12 31A30 PDF BibTeX XML Cite \textit{J. Meng} and \textit{L. Mei}, J. Comput. Appl. Math. 402, Article ID 113783, 14 p. (2022; Zbl 1481.65217) Full Text: DOI OpenURL
Zhong, Deguang; Meng, Fanning; Yuan, Wenjun On Schwarz-Pick type inequality for mappings satisfying Poisson differential inequality. (English) Zbl 07557586 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 3, 959-967 (2021). MSC: 30C80 31A30 PDF BibTeX XML Cite \textit{D. Zhong} et al., Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 3, 959--967 (2021; Zbl 07557586) Full Text: DOI OpenURL
Wang, Bo; Yu, Dandan; Tan, Bao A fast Fourier-Galerkin method solving a system of integral equations for the biharmonic equation. (English) Zbl 07543120 J. Integral Equations Appl. 33, No. 4, 511-530 (2021). MSC: 31A30 45E05 65N30 PDF BibTeX XML Cite \textit{B. Wang} et al., J. Integral Equations Appl. 33, No. 4, 511--530 (2021; Zbl 07543120) Full Text: DOI OpenURL
Liu, Xinliang; Zhang, Lei; Zhu, Shengxin Generalized rough polyharmonic splines for multiscale PDEs with rough coefficients. (English) Zbl 07538529 Numer. Math., Theory Methods Appl. 14, No. 4, 862-892 (2021). MSC: 41A15 34E13 35B27 PDF BibTeX XML Cite \textit{X. Liu} et al., Numer. Math., Theory Methods Appl. 14, No. 4, 862--892 (2021; Zbl 07538529) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Shahane} et al., J. Comput. Phys. 445, Article ID 110623, 24 p. (2021; Zbl 07515868) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. He} and \textit{X. Feng}, Int. J. Comput. Math. 98, No. 7, 1349--1364 (2021; Zbl 1479.35841) Full Text: DOI OpenURL
Buoso, Davide; Luzzini, Paolo; Provenzano, Luigi; Stubbe, Joachim On the spectral asymptotics for the buckling problem. (English) Zbl 07452059 J. Math. Phys. 62, No. 12, 121501, 18 p. (2021). MSC: 35Q74 74G60 35B40 31A30 15A18 PDF BibTeX XML Cite \textit{D. Buoso} et al., J. Math. Phys. 62, No. 12, 121501, 18 p. (2021; Zbl 07452059) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{D. G. Crowdy}, SIAM J. Appl. Math. 81, No. 6, 2526--2546 (2021; Zbl 1482.30102) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{E. Başakoğlu}, SN Partial Differ. Equ. Appl. 2, No. 4, Paper No. 52, 37 p. (2021; Zbl 1483.35197) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. Kapl} et al., Adv. Comput. Math. 47, No. 6, Paper No. 82, 38 p. (2021; Zbl 1480.65339) Full Text: DOI arXiv OpenURL
Hu, Jun; Ma, Rui; Zhang, Min A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids. (English) Zbl 07445153 Sci. China, Math. 64, No. 12, 2793-2816 (2021). MSC: 65N30 65N12 31A30 74S05 PDF BibTeX XML Cite \textit{J. Hu} et al., Sci. China, Math. 64, No. 12, 2793--2816 (2021; Zbl 07445153) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{V. V. Karachik} and \textit{B. Kh. Turmetov}, Springer Proc. Math. Stat. 351, 75--90 (2021; Zbl 1480.31003) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{G. Fu}, SIAM J. Sci. Comput. 43, No. 6, A3912--A3937 (2021; Zbl 1478.65123) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{Q. Guan}, Electron Res. Arch. 29, No. 6, 4099--4118 (2021; Zbl 1478.65126) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{W. He} and \textit{R. Jiang}, J. Geom. Anal. 31, No. 12, 11648--11684 (2021; Zbl 1482.53037) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. Khalfallah} et al., Monatsh. Math. 196, No. 4, 823--849 (2021; Zbl 1477.31011) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{S. Hamida} and \textit{A. Benrabah}, Rend. Circ. Mat. Palermo (2) 70, No. 3, 1709--1731 (2021; Zbl 07424507) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. Loaiza} et al., Complex Anal. Oper. Theory 15, No. 6, Paper No. 107, 32 p. (2021; Zbl 1477.31012) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Long, Boyong; Xu, Ling; Wang, Qihan Fully starlike and fully convex biharmonic mappings of order \(\alpha\). (Chinese. English summary) Zbl 07403798 J. Anhui Univ., Nat. Sci. 45, No. 2, 1-10 (2021). MSC: 30C45 30C50 31A30 PDF BibTeX XML Cite \textit{B. Long} et al., J. Anhui Univ., Nat. Sci. 45, No. 2, 1--10 (2021; Zbl 07403798) Full Text: DOI OpenURL
Zhong, Deguang; Meng, Fanning; Yuan, Wenjun On a Schwarz-Pick type inequality for quasiconformal mappings of inhomogeneous polyharmonic equation. (Chinese. English summary) Zbl 07403607 Acta Math. Sin., Chin. Ser. 64, No. 3, 413-426 (2021). MSC: 30C62 31A30 PDF BibTeX XML Cite \textit{D. Zhong} et al., Acta Math. Sin., Chin. Ser. 64, No. 3, 413--426 (2021; Zbl 07403607) OpenURL
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 PDF BibTeX XML Cite \textit{S. Chen} and \textit{X. Wang}, Indiana Univ. Math. J. 70, No. 3, 1055--1086 (2021; Zbl 1476.30087) Full Text: DOI arXiv OpenURL
Plaksa, S. A. Monogenic functions in commutative algebras and elliptic equations of mathematical physics. (Ukrainian. English summary) Zbl 07402550 Zb. Pr. Inst. Mat. NAN Ukr. 18, No. 1, 508-554 (2021). MSC: 30G35 35J05 31A30 PDF BibTeX XML Cite \textit{S. A. Plaksa}, Zb. Pr. Inst. Mat. NAN Ukr. 18, No. 1, 508--554 (2021; Zbl 07402550) OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{S. Zhang}, ESAIM, Math. Model. Numer. Anal. 55, 877--878 (2021; Zbl 1479.65032) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Priyadarshi, Gopal; Kumar, Bayya Venkatesulu Rathish Parameter identification in multidimensional hyperbolic partial differential equations using wavelet collocation method. (English) Zbl 07377136 Math. Methods Appl. Sci. 44, No. 11, 9079-9095 (2021). MSC: 65T60 65C30 31A30 PDF BibTeX XML Cite \textit{G. Priyadarshi} and \textit{B. V. R. Kumar}, Math. Methods Appl. Sci. 44, No. 11, 9079--9095 (2021; Zbl 07377136) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{C. Huang} and \textit{M. Stynes}, Numer. Algorithms 87, No. 4, 1749--1766 (2021; Zbl 1481.65184) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{F. Mtiri}, Math. Notes 109, No. 5, 759--776 (2021; Zbl 1468.35055) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{S. R. Haratbar}, Inverse Probl. Imaging 15, No. 2, 271--283 (2021; Zbl 1467.35347) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. J. Gander} and \textit{Y. Liu}, SIAM J. Sci. Comput. 43, No. 3, A1881--A1906 (2021; Zbl 1477.65259) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{T. Saanouni}, Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 113, 27 p. (2021; Zbl 1472.35362) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{J. Hu} and \textit{Y. Liang}, Math. Comput. 90, No. 330, 1637--1662 (2021; Zbl 1479.65028) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{R. Nasibullin}, Anal. Math. Phys. 11, No. 2, Paper No. 80, 23 p. (2021; Zbl 1468.31004) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Luo} et al., Proc. Am. Math. Soc. 149, No. 7, 2957--2968 (2021; Zbl 1475.35144) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Z. Dong} et al., SIAM J. Numer. Anal. 59, No. 3, 1273--1298 (2021; Zbl 1473.65297) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Chen} and \textit{D. Kalaj}, J. Geom. Anal. 31, No. 5, 4865--4905 (2021; Zbl 1462.30043) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. Cui}, East Asian J. Appl. Math. 11, No. 1, 164--180 (2021; Zbl 1468.65095) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{D. T. Luyen}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1701--1725 (2021; Zbl 1465.35171) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 07332964 Appl. Math. Comput. 394, Article ID 125787, 16 p. (2021); corrigendum ibid. 418, Article ID 126852, 2 p. (2022). MSC: 35Qxx 65Mxx 35Kxx PDF BibTeX XML Cite \textit{Ö. Oruç}, Appl. Math. Comput. 394, Article ID 125787, 16 p. (2021; Zbl 07332964) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Tran Nhat Luan} et al., Numer. Algorithms 86, No. 4, 1721--1746 (2021; Zbl 1460.31023) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{R. Alsaedi} et al., Complex Var. Elliptic Equ. 66, No. 4, 642--657 (2021; Zbl 1460.31020) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Emek}, Complex Var. Elliptic Equ. 66, No. 1, 35--52 (2021; Zbl 1460.31007) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{C. Carstensen} et al., IMA J. Numer. Anal. 41, No. 1, 164--205 (2021; Zbl 1460.65145) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{S. Xu}, Appl. Numer. Math. 161, 510--524 (2021; Zbl 1460.65150) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{D. Shi} and \textit{Y. Wu}, Appl. Numer. Math. 161, 169--177 (2021; Zbl 1464.65185) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{H. Abdelhak} and \textit{H. Saker}, Appl. Numer. Math. 161, 147 (2021; Zbl 1472.31006) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. Hadj} and \textit{H. Saker}, Appl. Numer. Math. 160, 436--450 (2021; Zbl 1459.31002) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. Huang} and \textit{Y. Yu}, J. Comput. Appl. Math. 386, Article ID 113229, 21 p. (2021; Zbl 1457.65197) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{X. Li} et al., J. Comput. Appl. Math. 385, Article ID 113177, 18 p. (2021; Zbl 1466.65071) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{R. Abreu Blaya}, Anal. Math. Phys. 11, No. 1, Paper No. 22, 13 p. (2021; Zbl 1456.31003) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Y. Su} and \textit{H. Shi}, Appl. Math. Lett. 112, Article ID 106802, 7 p. (2021; Zbl 1454.35106) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{D. Leykekhman}, Math. Comput. 90, No. 327, 41--63 (2021; Zbl 1452.65347) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Deng, Cheng; Zheng, Hui; Shi, Yan; Chen, C. S. Solving fourth-order PDEs using the LMAPS. (English) Zbl 07409060 Adv. Appl. Math. Mech. 12, No. 4, 920-939 (2020). MSC: 65N35 65D12 PDF BibTeX XML Cite \textit{C. Deng} et al., Adv. Appl. Math. Mech. 12, No. 4, 920--939 (2020; Zbl 07409060) Full Text: DOI OpenURL
Karachik, V. V. Presentation of solution of the Dirichlet problem for biharmonic equation in the unit ball through the Green function. (Russian. English summary) Zbl 1479.35319 Chelyabinskiĭ Fiz.-Mat. Zh. 5, No. 4, Part 1, 391-399 (2020). MSC: 35J30 31B30 35J40 PDF BibTeX XML Cite \textit{V. V. Karachik}, Chelyabinskiĭ Fiz.-Mat. Zh. 5, No. 4, Part 1, 391--399 (2020; Zbl 1479.35319) Full Text: DOI MNR OpenURL
Zhang, Yuling Existence of ground state solution for a kind of biharmonic elliptic systems. (Chinese. English summary) Zbl 1474.35281 Math. Pract. Theory 50, No. 22, 195-201 (2020). MSC: 35J47 31A30 PDF BibTeX XML Cite \textit{Y. Zhang}, Math. Pract. Theory 50, No. 22, 195--201 (2020; Zbl 1474.35281) OpenURL
Huang, Xuehai Nonconforming virtual element method for \(2m\)th order partial differential equations in \(\mathbb{R}^n\) with \(m>n\). (English) Zbl 1468.65192 Calcolo 57, No. 4, Paper No. 42, 38 p. (2020). MSC: 65N30 65N12 65N15 65N22 PDF BibTeX XML Cite \textit{X. Huang}, Calcolo 57, No. 4, Paper No. 42, 38 p. (2020; Zbl 1468.65192) Full Text: DOI arXiv OpenURL
Kumar, B. V. Rathish; Priyadarshi, Gopal Wavelet Galerkin methods for higher order partial differential equations. (English) Zbl 1480.65261 Manchanda, Pammy (ed.) et al., Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2–4, 2018. Singapore: Springer. Ind. Appl. Math., 231-253 (2020). Reviewer: Wayne Lawton (Bangkok) MSC: 65M60 65M06 65T60 65F10 65F50 35J60 35G20 31A30 PDF BibTeX XML Cite \textit{B. V. R. Kumar} and \textit{G. Priyadarshi}, in: Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2--4, 2018. Singapore: Springer. 231--253 (2020; Zbl 1480.65261) Full Text: DOI OpenURL
Karazym, Mukhtar; Ozawa, Tohru; Suragan, Durvudkhan Multidimensional inverse Cauchy problems for evolution equations. (English) Zbl 1466.35368 Inverse Probl. Sci. Eng. 28, No. 11, 1582-1590 (2020). MSC: 35R30 35L15 35K30 65M32 PDF BibTeX XML Cite \textit{M. Karazym} et al., Inverse Probl. Sci. Eng. 28, No. 11, 1582--1590 (2020; Zbl 1466.35368) Full Text: DOI arXiv OpenURL
Chen, Shaolin Modulus of continuity and Heinz-Schwarz type inequalities of solutions to biharmonic equations. (Chinese. English summary) Zbl 07338390 Acta Math. Sin., Chin. Ser. 63, No. 5, 505-522 (2020). MSC: 31A30 31A05 PDF BibTeX XML Cite \textit{S. Chen}, Acta Math. Sin., Chin. Ser. 63, No. 5, 505--522 (2020; Zbl 07338390) Full Text: arXiv OpenURL
Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico A free boundary problem driven by the biharmonic operator. (English) Zbl 1469.31007 Pure Appl. Anal. 2, No. 4, 875-942 (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 31A30 31B30 35R35 PDF BibTeX XML Cite \textit{S. Dipierro} et al., Pure Appl. Anal. 2, No. 4, 875--942 (2020; Zbl 1469.31007) Full Text: DOI arXiv OpenURL
Karachik, V. V. Solvability conditions of the \(\mathcal{N}_2\) Neumann-type problem for polyharmonic equation in a ball. (Russian. English summary) Zbl 1458.35155 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 12, No. 2, 13-20 (2020). MSC: 35J40 35A01 PDF BibTeX XML Cite \textit{V. V. Karachik}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 12, No. 2, 13--20 (2020; Zbl 1458.35155) Full Text: DOI MNR OpenURL
Shen, Yue; Jin, Chang Decoupled mixed element methods for fourth order elliptic optimal control problems with control constraints. (English) Zbl 1463.65376 Numer. Math., Theory Methods Appl. 13, No. 2, 400-432 (2020). MSC: 65N30 65N15 49J20 31A30 49M41 65K15 PDF BibTeX XML Cite \textit{Y. Shen} and \textit{C. Jin}, Numer. Math., Theory Methods Appl. 13, No. 2, 400--432 (2020; Zbl 1463.65376) Full Text: DOI OpenURL
Huang, Yunqing; Wei, Huayi; Yang, Wei; Yi, Nianyu Recovery based finite element method for biharmonic equation in 2D. (English) Zbl 1463.65373 J. Comput. Math. 38, No. 1, 84-102 (2020). MSC: 65N30 31A30 65N50 PDF BibTeX XML Cite \textit{Y. Huang} et al., J. Comput. Math. 38, No. 1, 84--102 (2020; Zbl 1463.65373) Full Text: DOI arXiv OpenURL
Du, Zhihua; Li, Yumei An \({L^p}\) inhomogeneous polyharmonic Neumann problem on Lipschitz domains in \({\mathbb{R}^n}\). (Chinese. English summary) Zbl 1463.31006 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 2, 271-287 (2020). MSC: 31B10 31B30 35J40 PDF BibTeX XML Cite \textit{Z. Du} and \textit{Y. Li}, Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 2, 271--287 (2020; Zbl 1463.31006) OpenURL
Matevossian, H. A. On the biharmonic problem with the Steklov-type and Farwig boundary conditions. (English) Zbl 1454.35108 Lobachevskii J. Math. 41, No. 10, 2053-2059 (2020). MSC: 35J40 31B30 PDF BibTeX XML Cite \textit{H. A. Matevossian}, Lobachevskii J. Math. 41, No. 10, 2053--2059 (2020; Zbl 1454.35108) Full Text: DOI OpenURL
Antonietti, Paola F.; Manzini, G.; Verani, Marco The conforming virtual element method for polyharmonic problems. (English) Zbl 1452.65320 Comput. Math. Appl. 79, No. 7, 2021-2034 (2020). MSC: 65N30 65N12 31A30 35J05 PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., Comput. Math. Appl. 79, No. 7, 2021--2034 (2020; Zbl 1452.65320) Full Text: DOI arXiv OpenURL
Oh, Tadahiro; Tzvetkov, Nikolay; Wang, Yuzhao Solving the 4NLS with white noise initial data. (English) Zbl 1452.35193 Forum Math. Sigma 8, Paper No. e48, 63 p. (2020). MSC: 35Q55 60H30 31A30 60H40 PDF BibTeX XML Cite \textit{T. Oh} et al., Forum Math. Sigma 8, Paper No. e48, 63 p. (2020; Zbl 1452.35193) Full Text: DOI arXiv OpenURL
Snowball, Ben; Olver, Sheehan Sparse spectral and \(p\)-finite element methods for partial differential equations on disk slices and trapeziums. (English) Zbl 1452.65376 Stud. Appl. Math. 145, No. 1, 3-35 (2020). MSC: 65N35 65N30 35J05 31A30 PDF BibTeX XML Cite \textit{B. Snowball} and \textit{S. Olver}, Stud. Appl. Math. 145, No. 1, 3--35 (2020; Zbl 1452.65376) Full Text: DOI arXiv OpenURL