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
Mtiri, Foued Solutions of super-linear elliptic equations and their Morse indices. (English) Zbl 07369753 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 07369753) Full Text: DOI
Berchio, Elvise; Falocchi, Alessio A positivity preserving property result for the biharmonic operator under partially hinged boundary conditions. (English) Zbl 07367002 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 07367002) Full Text: DOI
Haratbar, Siamak Rabienia Inverse scattering and stability for the biharmonic operator. (English) Zbl 07365411 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 07365411) Full Text: DOI
Mtiri, Foued; Harrabi, Abdellaziz Liouville-type theorems and existence results for stable-at-infinity solutions of higher-order \(m\)-polyharmonic problems. (English) Zbl 07358701 J. Math. Anal. Appl. 502, No. 1, Article ID 125225, 20 p. (2021). MSC: 35-XX PDF BibTeX XML Cite \textit{F. Mtiri} and \textit{A. Harrabi}, J. Math. Anal. Appl. 502, No. 1, Article ID 125225, 20 p. (2021; Zbl 07358701) Full Text: DOI
Nasibullin, Ramil Avkhadiev-Backer type \(p\)-valent conditions for biharmonic functions. (English) Zbl 07355856 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 07355856) Full Text: DOI
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
Cui, Mingrong A compact difference scheme for time-fractional Dirichlet biharmonic equation on temporal graded meshes. (English) Zbl 07340221 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 07340221) 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 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
Luyen, Duong Trong Infinitely many solutions for a fourth-order semilinear elliptic equations perturbed from symmetry. (English) Zbl 07339992 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 07339992) 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 07336224 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 07336224); translation from Differ. Uravn. 57, No. 3, 326--337 (2021) 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 07332964 Appl. Math. Comput. 394, Article ID 125787, 16 p. (2021). 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
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
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
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
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
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
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
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
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
Shi, Dongyang; Wu, Yanmi Quasi-uniform convergence analysis of rectangular Morley element for the singularly perturbed Bi-wave equation. (English) Zbl 07310812 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 07310812) 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 PDF BibTeX XML Cite \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 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
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 07305115 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 07305115) 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 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
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
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
Zhang, Yuling Existence of ground state solution for a kind of biharmonic elliptic systems. (Chinese. English summary) Zbl 07366795 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 07366795)
Huang, Xuehai Nonconforming virtual element method for \(2m\)th order partial differential equations in \(\mathbb{R}^n\) with \(m>n\). (English) Zbl 07360423 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 07360423) Full Text: DOI
Karazym, Mukhtar; Ozawa, Tohru; Suragan, Durvudkhan Multidimensional inverse Cauchy problems for evolution equations. (English) Zbl 07354253 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 07354253) Full Text: DOI
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: 26A15 26D10 31A30 PDF BibTeX XML Cite \textit{S. Chen}, Acta Math. Sin., Chin. Ser. 63, No. 5, 505--522 (2020; Zbl 07338390)
Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico A free boundary problem driven by the biharmonic operator. (English) Zbl 07337018 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 07337018) Full Text: DOI
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
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
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
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)
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
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
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
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
Li, Weifeng; Dang, Pei; Du, Zhihua; Guo, Guoan; Li, Yumei \(L^p\) polyharmonic Robin problems on Lipschitz domains. (English) Zbl 1452.31015 Complex Var. Elliptic Equ. 65, No. 10, 1777-1791 (2020). MSC: 31B30 31B10 35J30 35J40 PDF BibTeX XML Cite \textit{W. Li} et al., Complex Var. Elliptic Equ. 65, No. 10, 1777--1791 (2020; Zbl 1452.31015) Full Text: DOI
Guzmán, Carlos M.; Pastor, Ademir On the inhomogeneous biharmonic nonlinear Schrödinger equation: local, global and stability results. (English) Zbl 1451.35185 Nonlinear Anal., Real World Appl. 56, Article ID 103174, 35 p. (2020). MSC: 35Q55 35D35 35A01 35A02 31A30 PDF BibTeX XML Cite \textit{C. M. Guzmán} and \textit{A. Pastor}, Nonlinear Anal., Real World Appl. 56, Article ID 103174, 35 p. (2020; Zbl 1451.35185) Full Text: DOI
Karachik, V. V. Class of Neumann-type problems for the polyharmonic equation in a ball. (English. Russian original) Zbl 1452.31014 Comput. Math. Math. Phys. 60, No. 1, 144-162 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 1, 132-150 (2020). MSC: 31B30 35J30 35J40 PDF BibTeX XML Cite \textit{V. V. Karachik}, Comput. Math. Math. Phys. 60, No. 1, 144--162 (2020; Zbl 1452.31014); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 1, 132--150 (2020) Full Text: DOI
Perotti, Alessandro A four dimensional Jensen formula. (English) Zbl 1455.30043 Riv. Mat. Univ. Parma (N.S.) 11, No. 1, 139-152 (2020). Reviewer: Agnieszka Wisniowska-Wajnryb (Rzeszów) MSC: 30G35 31A30 PDF BibTeX XML Cite \textit{A. Perotti}, Riv. Mat. Univ. Parma (N.S.) 11, No. 1, 139--152 (2020; Zbl 1455.30043) Full Text: Link
Ye, Xiu; Zhang, Shangyou A stabilizer free weak Galerkin method for the biharmonic equation on polytopal meshes. (English) Zbl 1452.65362 SIAM J. Numer. Anal. 58, No. 5, 2572-2588 (2020). MSC: 65N30 65N15 31A30 35J35 35J40 35B45 PDF BibTeX XML Cite \textit{X. Ye} and \textit{S. Zhang}, SIAM J. Numer. Anal. 58, No. 5, 2572--2588 (2020; Zbl 1452.65362) Full Text: DOI
Karachik, V. V. Neumann type problems for the polyharmonic equation in ball. (English. Russian original) Zbl 1452.31013 J. Math. Sci., New York 249, No. 6, 974-988 (2020); translation from Probl. Mat. Anal. 103, 143-154 (2020). MSC: 31B30 35J30 35J40 PDF BibTeX XML Cite \textit{V. V. Karachik}, J. Math. Sci., New York 249, No. 6, 974--988 (2020; Zbl 1452.31013); translation from Probl. Mat. Anal. 103, 143--154 (2020) Full Text: DOI
Kim, Seokchan; Palta, Birce; Oh, Hae-Soo Extraction formulas of stress intensity factors for the biharmonic equations containing crack singularities. (English) Zbl 1447.65149 Comput. Math. Appl. 80, No. 5, 1142-1163 (2020). MSC: 65N30 65N22 65D07 74G70 74R10 31A30 74S05 35Q74 PDF BibTeX XML Cite \textit{S. Kim} et al., Comput. Math. Appl. 80, No. 5, 1142--1163 (2020; Zbl 1447.65149) Full Text: DOI
Crowdy, Darren Solving problems in multiply connected domains. (English) Zbl 1451.30001 CBMS-NSF Regional Conference Series in Applied Mathematics 97. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-614-4/pbk; 978-1-61197-615-1/ebook). xxii, 434 p. (2020). MSC: 30-01 30C20 30C40 31A10 31A30 35A08 31A05 35J05 PDF BibTeX XML Cite \textit{D. Crowdy}, Solving problems in multiply connected domains. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2020; Zbl 1451.30001) Full Text: DOI
Karpeshina, Yulia; Kim, Seonguk; Shterenberg, Roman Solutions of Gross-Pitaevskii equation with periodic potential in dimension two. (English) Zbl 1448.35154 Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Springer. Oper. Theory: Adv. Appl. 276, 401-416 (2020). MSC: 35J30 35B10 PDF BibTeX XML Cite \textit{Y. Karpeshina} et al., Oper. Theory: Adv. Appl. 276, 401--416 (2020; Zbl 1448.35154) Full Text: DOI
Hu, Jun; Tian, Shudan; Zhang, Shangyou A family of 3D \(H^2\)-nonconforming tetrahedral finite elements for the biharmonic equation. (English) Zbl 1446.65171 Sci. China, Math. 63, No. 8, 1505-1522 (2020). MSC: 65N30 65N15 31A30 PDF BibTeX XML Cite \textit{J. Hu} et al., Sci. China, Math. 63, No. 8, 1505--1522 (2020; Zbl 1446.65171) Full Text: DOI
de la Riva, A. Pé; Gaspar, F. J.; Rodrigo, C. On the robust solution of an isogeometric discretization of bilaplacian equation by using multigrid methods. (English) Zbl 1446.65193 Comput. Math. Appl. 80, No. 2, 386-394 (2020). MSC: 65N55 42A38 31A30 PDF BibTeX XML Cite \textit{A. P. de la Riva} et al., Comput. Math. Appl. 80, No. 2, 386--394 (2020; Zbl 1446.65193) Full Text: DOI
Yang, Hui Asymptotic behavior of positive solutions to a nonlinear biharmonic equation near isolated singularities. (English) Zbl 1445.35152 Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 130, 21 p. (2020). MSC: 35J30 31B30 35B40 35B09 PDF BibTeX XML Cite \textit{H. Yang}, Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 130, 21 p. (2020; Zbl 1445.35152) Full Text: DOI
Gutlyanskiĭ, V. Ya.; Nesmelova, O. V.; Ryazanov, V. I. The Dirichlet problem for the Poisson type equations in the plane. (English) Zbl 1449.30085 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2020, No. 5, 10-16 (2020). MSC: 30E25 30C62 31A30 PDF BibTeX XML Cite \textit{V. Ya. Gutlyanskiĭ} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2020, No. 5, 10--16 (2020; Zbl 1449.30085) Full Text: DOI
Xi, Yingxia; Ji, Xia; Zhang, Shuo A high accuracy nonconforming finite element scheme for Helmholtz transmission eigenvalue problem. (English) Zbl 1446.31004 J. Sci. Comput. 83, No. 3, Paper No. 67, 20 p. (2020). MSC: 31A30 65N30 PDF BibTeX XML Cite \textit{Y. Xi} et al., J. Sci. Comput. 83, No. 3, Paper No. 67, 20 p. (2020; Zbl 1446.31004) Full Text: DOI
Benrabah, Abderafik; Boussetila, Nadjib; Rebbani, Faouzia Modified auxiliary boundary conditions method for an ill-posed problem for the homogeneous biharmonic equation. (English) Zbl 1445.35153 Math. Methods Appl. Sci. 43, No. 1, 358-383 (2020). MSC: 35J40 31B30 PDF BibTeX XML Cite \textit{A. Benrabah} et al., Math. Methods Appl. Sci. 43, No. 1, 358--383 (2020; Zbl 1445.35153) Full Text: DOI
Tahri, Kamel Multiple solutions to polyharmonic elliptic problem involving GJMS operator on compact manifolds. (English) Zbl 1445.35151 Afr. Mat. 31, No. 3-4, 437-454 (2020). MSC: 35J30 31B30 58J05 PDF BibTeX XML Cite \textit{K. Tahri}, Afr. Mat. 31, No. 3--4, 437--454 (2020; Zbl 1445.35151) Full Text: DOI
Karachik, V. V. The Green function of the Dirichlet problem for the triharmonic equation in the ball. (English. Russian original) Zbl 1442.35084 Math. Notes 107, No. 1, 105-120 (2020); translation from Mat. Zametki 107, No. 1, 87-105 (2020). MSC: 35J08 35J40 31B30 PDF BibTeX XML Cite \textit{V. V. Karachik}, Math. Notes 107, No. 1, 105--120 (2020; Zbl 1442.35084); translation from Mat. Zametki 107, No. 1, 87--105 (2020) Full Text: DOI
Zhang, Jun; Yang, Xiaofeng Non-iterative, unconditionally energy stable and large time-stepping method for the Cahn-Hilliard phase-field model with Flory-Huggins-de Gennes free energy. (English) Zbl 1442.65223 Adv. Comput. Math. 46, No. 3, Paper No. 47, 27 p. (2020). MSC: 65M22 65M06 65M70 31A30 35Q82 82D60 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{X. Yang}, Adv. Comput. Math. 46, No. 3, Paper No. 47, 27 p. (2020; Zbl 1442.65223) Full Text: DOI
Shivanian, Elyas; Abbasbandy, Saeid Pseudospectral meshless radial point interpolation for generalized biharmonic equation in the presence of Cahn-Hilliard conditions. (English) Zbl 1449.65336 Comput. Appl. Math. 39, No. 3, Paper No. 148, 18 p. (2020). MSC: 65N35 65D05 31A30 PDF BibTeX XML Cite \textit{E. Shivanian} and \textit{S. Abbasbandy}, Comput. Appl. Math. 39, No. 3, Paper No. 148, 18 p. (2020; Zbl 1449.65336) Full Text: DOI
Mohapatra, Manas Ranjan Schwarz-type lemma at the boundary for mappings satisfying non-homogeneous polyharmonic equations. (English) Zbl 1439.30046 Monatsh. Math. 192, No. 2, 409-418 (2020). MSC: 30C80 31A30 PDF BibTeX XML Cite \textit{M. R. Mohapatra}, Monatsh. Math. 192, No. 2, 409--418 (2020; Zbl 1439.30046) Full Text: DOI
An, Jing; Li, Huiyuan; Zhang, Zhimin Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains. (English) Zbl 07202175 Numer. Algorithms 84, No. 2, 427-455 (2020). MSC: 65N35 65N25 65N15 31A30 PDF BibTeX XML Cite \textit{J. An} et al., Numer. Algorithms 84, No. 2, 427--455 (2020; Zbl 07202175) Full Text: DOI
Zhang, Shuo Minimal consistent finite element space for the biharmonic equation on quadrilateral grids. (English) Zbl 07199513 IMA J. Numer. Anal. 40, No. 2, 1390-1406 (2020). MSC: 65N30 31A30 PDF BibTeX XML Cite \textit{S. Zhang}, IMA J. Numer. Anal. 40, No. 2, 1390--1406 (2020; Zbl 07199513) Full Text: DOI
Guo, Zongming; Huang, Xia; Wang, Liping; Wei, Juncheng On Delaunay solutions of a biharmonic elliptic equation with critical exponent. (English) Zbl 1437.35390 J. Anal. Math. 140, No. 1, 371-394 (2020). MSC: 35J91 31B30 35B09 35B08 PDF BibTeX XML Cite \textit{Z. Guo} et al., J. Anal. Math. 140, No. 1, 371--394 (2020; Zbl 1437.35390) Full Text: DOI
Li, Hao; Bi, Hai; Yang, Yidu The two-grid and multigrid discretizations of the \(C^0\)IPG method for biharmonic eigenvalue problem. (English) Zbl 1437.65173 Discrete Contin. Dyn. Syst., Ser. B 25, No. 5, 1775-1789 (2020). MSC: 65N25 65N30 65N55 65N50 65F15 31A30 PDF BibTeX XML Cite \textit{H. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 5, 1775--1789 (2020; Zbl 1437.65173) Full Text: DOI
Feng, Binhua; Liu, Jiayin; Niu, Huiling; Zhang, Binlin Strong instability of standing waves for a fourth-order nonlinear Schrödinger equation with the mixed dispersions. (English) Zbl 1437.35624 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111791, 16 p. (2020). MSC: 35Q55 35Q60 35A15 35B44 78A60 31A30 35B35 PDF BibTeX XML Cite \textit{B. Feng} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111791, 16 p. (2020; Zbl 1437.35624) Full Text: DOI
Arora, R.; Giacomoni, J.; Mukherjee, T.; Sreenadh, K. Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights. (English) Zbl 1437.35687 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111779, 24 p. (2020). Reviewer: Giovany Malcher Figueiredo (Brasília) MSC: 35R10 35R09 35J60 35A15 35J35 PDF BibTeX XML Cite \textit{R. Arora} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111779, 24 p. (2020; Zbl 1437.35687) Full Text: DOI
Jacangelo, J.; Banks, J. W.; Hagstrom, T. Galerkin differences for high-order partial differential equations. (English) Zbl 1432.65147 SIAM J. Sci. Comput. 42, No. 2, B447-B471 (2020). MSC: 65M60 65M06 65M12 65D05 65D07 31A30 74K10 74K20 74S05 PDF BibTeX XML Cite \textit{J. Jacangelo} et al., SIAM J. Sci. Comput. 42, No. 2, B447--B471 (2020; Zbl 1432.65147) Full Text: DOI
Zhang, Caifeng; Li, Jungang; Chen, Lu Ground state solutions of polyharmonic equations with potentials of positive low bound. (English) Zbl 1437.35245 Pac. J. Math. 305, No. 1, 353-384 (2020). MSC: 35J30 31B30 35A01 PDF BibTeX XML Cite \textit{C. Zhang} et al., Pac. J. Math. 305, No. 1, 353--384 (2020; Zbl 1437.35245) Full Text: DOI
Zabarankin, Michael; Grechuk, Bogdan Matrix difference equations in applied mathematics. (English) Zbl 1432.39002 SIAM J. Appl. Math. 80, No. 2, 753-771 (2020). MSC: 39A13 31B20 31B30 74B05 76D07 78A30 PDF BibTeX XML Cite \textit{M. Zabarankin} and \textit{B. Grechuk}, SIAM J. Appl. Math. 80, No. 2, 753--771 (2020; Zbl 1432.39002) Full Text: DOI
Luan, Tran Nhat; Khieu, Tran Thi; Khanh, Tra Quoc Regularized solution of the Cauchy problem for the biharmonic equation. (English) Zbl 1436.31021 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 757-782 (2020). MSC: 31B30 47A52 65F22 65J20 PDF BibTeX XML Cite \textit{T. N. Luan} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 757--782 (2020; Zbl 1436.31021) Full Text: DOI
Teodoro, A. Di; Ferreira, M.; Vieira, N. Fundamental solution for natural powers of the fractional Laplace and Dirac operators in the Riemann-Liouville sense. (English) Zbl 1448.30006 Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 3, 18 p. (2020). Reviewer: Sergei V. Rogosin (Minsk) MSC: 30G35 15A66 26A33 31A30 35A08 35R11 PDF BibTeX XML Cite \textit{A. Di Teodoro} et al., Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 3, 18 p. (2020; Zbl 1448.30006) Full Text: DOI
Chen, Yanping; Lin, Xiuxiu; Huang, Yunqing; Lin, Qian \(hp\) spectral element approximation for integral state constrained optimal control problems governed by harmonic equations. (English) Zbl 1440.65244 J. Comput. Appl. Math. 371, Article ID 112716, 13 p. (2020). MSC: 65N35 65N15 65N50 31A30 49K20 93C20 35Q93 35B45 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Comput. Appl. Math. 371, Article ID 112716, 13 p. (2020; Zbl 1440.65244) Full Text: DOI
Tuan, Nguyen Huy; Zhou, Yong; Thach, Tran Ngoc; Can, Nguyen Huu An approximate solution for a nonlinear biharmonic equation with discrete random data. (English) Zbl 1434.65233 J. Comput. Appl. Math. 371, Article ID 112711, 19 p. (2020). MSC: 65N21 65N20 31A30 35R30 35R60 65N35 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., J. Comput. Appl. Math. 371, Article ID 112711, 19 p. (2020; Zbl 1434.65233) Full Text: DOI
Álvarez-Caudevilla, P.; Ortega, A. Homotopy regularization for a high-order parabolic equation. (English) Zbl 1431.35058 Mediterr. J. Math. 17, No. 1, Paper No. 2, 18 p. (2020). MSC: 35K30 35K55 35K65 31B30 PDF BibTeX XML Cite \textit{P. Álvarez-Caudevilla} and \textit{A. Ortega}, Mediterr. J. Math. 17, No. 1, Paper No. 2, 18 p. (2020; Zbl 1431.35058) Full Text: DOI
Cui, Ming; Zhang, Shangyou On the uniform convergence of the weak Galerkin finite element method for a singularly-perturbed biharmonic equation. (English) Zbl 1434.65247 J. Sci. Comput. 82, No. 1, Paper No. 5, 15 p. (2020). MSC: 65N30 65N12 31A30 35B25 PDF BibTeX XML Cite \textit{M. Cui} and \textit{S. Zhang}, J. Sci. Comput. 82, No. 1, Paper No. 5, 15 p. (2020; Zbl 1434.65247) Full Text: DOI
Buoso, D.; Freitas, P. Extremal eigenvalues of the Dirichlet biharmonic operator on rectangles. (English) Zbl 1439.35156 Proc. Am. Math. Soc. 148, No. 3, 1109-1120 (2020). Reviewer: Gianpaolo Piscitelli (Cassino) MSC: 35J30 31A30 35P15 74K20 PDF BibTeX XML Cite \textit{D. Buoso} and \textit{P. Freitas}, Proc. Am. Math. Soc. 148, No. 3, 1109--1120 (2020; Zbl 1439.35156) Full Text: DOI
Han, Xiaoli; Shao, Mengqiu; Zhao, Liang Existence and convergence of solutions for nonlinear biharmonic equations on graphs. (English) Zbl 1433.35049 J. Differ. Equations 268, No. 7, 3936-3961 (2020). MSC: 35J30 31B30 35R02 PDF BibTeX XML Cite \textit{X. Han} et al., J. Differ. Equations 268, No. 7, 3936--3961 (2020; Zbl 1433.35049) Full Text: DOI arXiv
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Maack, Jonathan A quadratic spline collocation method for the Dirichlet biharmonic problem. (English) Zbl 1434.65290 Numer. Algorithms 83, No. 1, 165-199 (2020). MSC: 65N35 65D07 31A30 65T50 65F08 65F10 65N12 35J40 35J20 PDF BibTeX XML Cite \textit{B. Bialecki} et al., Numer. Algorithms 83, No. 1, 165--199 (2020; Zbl 1434.65290) Full Text: DOI
Müller, Stefan; Schweiger, Florian; Süli, Endre Optimal-order finite difference approximation of generalized solutions to the biharmonic equation in a cube. (English) Zbl 07154067 SIAM J. Numer. Anal. 58, No. 1, 298-329 (2020). MSC: 65N06 31A30 31B30 65N15 65N12 PDF BibTeX XML Cite \textit{S. Müller} et al., SIAM J. Numer. Anal. 58, No. 1, 298--329 (2020; Zbl 07154067) Full Text: DOI arXiv
Ushakov, A. L. Fast solution of a model problem for the biharmonic equation. (Russian. English summary) Zbl 1460.35118 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 11, No. 1, 34-42 (2019). MSC: 35J40 31A30 PDF BibTeX XML Cite \textit{A. L. Ushakov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 11, No. 1, 34--42 (2019; Zbl 1460.35118) Full Text: DOI MNR
Bayona, Víctor; Flyer, Natasha; Fornberg, Bengt On the role of polynomials in RBF-FD approximations. III: Behavior near domain boundaries. (English) Zbl 1451.65012 J. Comput. Phys. 380, 378-399 (2019). MSC: 65D12 65D07 65M06 65N06 35J05 65D15 PDF BibTeX XML Cite \textit{V. Bayona} et al., J. Comput. Phys. 380, 378--399 (2019; Zbl 1451.65012) Full Text: DOI
Turmetov, Batirkhan Khudaĭbergenovich Green function for analogue of Robin problem for polyharmonic equation. (Russian. English summary) Zbl 1463.35241 Ufim. Mat. Zh. 11, No. 3, 79-88 (2019); translation in Ufa Math. J. 11, No. 3, 78-87 (2019). MSC: 35J40 31B30 PDF BibTeX XML Cite \textit{B. K. Turmetov}, Ufim. Mat. Zh. 11, No. 3, 79--88 (2019; Zbl 1463.35241); translation in Ufa Math. J. 11, No. 3, 78--87 (2019) Full Text: DOI MNR
Droniou, Jérôme; Ilyas, Muhammad; Lamichhane, Bishnu P.; Wheeler, Glen E. A mixed finite element method for a sixth-order elliptic problem. (English) Zbl 07208108 IMA J. Numer. Anal. 39, No. 1, 374-397 (2019). MSC: 65N30 65N15 35G15 31A30 PDF BibTeX XML Cite \textit{J. Droniou} et al., IMA J. Numer. Anal. 39, No. 1, 374--397 (2019; Zbl 07208108) Full Text: DOI
Cao, Daomin; Dai, Wei Classification of nonnegative solutions to a bi-harmonic equation with Hartree type nonlinearity. (English) Zbl 1437.35383 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 4, 979-994 (2019). MSC: 35J91 31B30 35B06 PDF BibTeX XML Cite \textit{D. Cao} and \textit{W. Dai}, Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 4, 979--994 (2019; Zbl 1437.35383) Full Text: DOI
Feng, Xiaobing; Lewis, Thomas; Schnake, Stefan Analysis of the vanishing moment method and its finite element approximations for second-order linear elliptic PDEs in non-divergence form. (English) Zbl 1436.65178 Methods Appl. Anal. 26, No. 2, 167-194 (2019). MSC: 65N30 65N12 65N15 35D35 35J15 31A30 PDF BibTeX XML Cite \textit{X. Feng} et al., Methods Appl. Anal. 26, No. 2, 167--194 (2019; Zbl 1436.65178) Full Text: DOI
Yang, Fen Inequality estimates of an inhomogeneous semilinear biharmonic equation in entire space. (English) Zbl 1437.35399 Acta Math. Appl. Sin., Engl. Ser. 35, No. 4, 812-819 (2019). MSC: 35J91 31B30 PDF BibTeX XML Cite \textit{F. Yang}, Acta Math. Appl. Sin., Engl. Ser. 35, No. 4, 812--819 (2019; Zbl 1437.35399) Full Text: DOI
Dong, Zhaonan Discontinuous Galerkin methods for the biharmonic problem on polygonal and polyhedral meshes. (English) Zbl 1434.65249 Int. J. Numer. Anal. Model. 16, No. 5, 825-846 (2019). MSC: 65N30 65N50 65N15 31A30 PDF BibTeX XML Cite \textit{Z. Dong}, Int. J. Numer. Anal. Model. 16, No. 5, 825--846 (2019; Zbl 1434.65249) Full Text: Link
Nam, Danh Hua Quoc; van Au, Vo; Tuan, Nguyen Huy; O’Regan, Donal Regularization of a final value problem for a nonlinear biharmonic equation. (English) Zbl 1434.65165 Math. Methods Appl. Sci. 42, No. 18, 6672-6685 (2019). MSC: 65M32 47J06 47H10 65M30 31B30 35R30 65J20 PDF BibTeX XML Cite \textit{D. H. Q. Nam} et al., Math. Methods Appl. Sci. 42, No. 18, 6672--6685 (2019; Zbl 1434.65165) Full Text: DOI
Guo, Hongxia; Guo, Zongming; Wan, Fangshu Radial symmetry of non-maximal entire solutions of a bi-harmonic equation with exponential nonlinearity. (English) Zbl 1437.35389 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 6, 1603-1625 (2019). MSC: 35J91 31B30 35B08 PDF BibTeX XML Cite \textit{H. Guo} et al., Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 6, 1603--1625 (2019; Zbl 1437.35389) Full Text: DOI
Ben-Artzi, Matania; Croisille, Jean-Pierre; Fishelov, Dalia A Cartesian compact scheme for the Navier-Stokes equations in streamfunction formulation in irregular domains. (English) Zbl 1434.65107 J. Sci. Comput. 81, No. 3, 1386-1408 (2019). MSC: 65M06 76M20 76D05 31A30 65D05 41A05 PDF BibTeX XML Cite \textit{M. Ben-Artzi} et al., J. Sci. Comput. 81, No. 3, 1386--1408 (2019; Zbl 1434.65107) Full Text: DOI
Banz, Lothar; Petsche, Jan; Schröder, Andreas Two stabilized three-field formulations for the biharmonic problem. (English) Zbl 1433.65275 Apel, Thomas (ed.) et al., Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 128, 41-55 (2019). MSC: 65N30 65N12 65N15 65N50 35J30 31A30 35B45 PDF BibTeX XML Cite \textit{L. Banz} et al., Lect. Notes Comput. Sci. Eng. 128, 41--55 (2019; Zbl 1433.65275) Full Text: DOI
Li, Ruo; Ming, Pingbing; Sun, Zhiyuan; Yang, Fanyi; Yang, Zhijian A discontinuous Galerkin method by patch reconstruction for biharmonic problem. (English) Zbl 1449.65321 J. Comput. Math. 37, No. 4, 524-540 (2019). MSC: 65N30 65N15 31A30 65K10 PDF BibTeX XML Cite \textit{R. Li} et al., J. Comput. Math. 37, No. 4, 524--540 (2019; Zbl 1449.65321) Full Text: DOI
Honein, Tony; Honein, Elie; Najjar, Michel; Rai, Habib A correspondence between compressible and incompressible plane elastostatics. (English) Zbl 1428.74037 Acta Mech. 230, No. 7, 2549-2562 (2019). MSC: 74B05 31A30 PDF BibTeX XML Cite \textit{T. Honein} et al., Acta Mech. 230, No. 7, 2549--2562 (2019; Zbl 1428.74037) Full Text: DOI
Frank, Rupert L.; König, Tobias Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity. (English) Zbl 1454.35102 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 4, 817-846 (2019). Reviewer: Takashi Suzuki (Osaka) MSC: 35J30 31B30 35B09 35B10 PDF BibTeX XML Cite \textit{R. L. Frank} and \textit{T. König}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 4, 817--846 (2019; Zbl 1454.35102) Full Text: DOI arXiv
Plaksa, Sergiy A. Monogenic functions in commutative algebras associated with classical equations of mathematical physics. (English. Ukrainian original) Zbl 1433.30119 J. Math. Sci., New York 242, No. 3, 432-456 (2019); translation from Ukr. Mat. Visn. 15, No. 4, 543-575 (2018). MSC: 30G35 35J05 35J30 31B30 PDF BibTeX XML Cite \textit{S. A. Plaksa}, J. Math. Sci., New York 242, No. 3, 432--456 (2019; Zbl 1433.30119); translation from Ukr. Mat. Visn. 15, No. 4, 543--575 (2018) Full Text: DOI
Monzón, Gabriel A virtual element method for a biharmonic Steklov eigenvalue problem. (English) Zbl 1430.31002 Adv. Pure Appl. Math. 10, No. 4, 325-337 (2019). MSC: 31A30 35J40 65N30 PDF BibTeX XML Cite \textit{G. Monzón}, Adv. Pure Appl. Math. 10, No. 4, 325--337 (2019; Zbl 1430.31002) Full Text: DOI
Mohapatra, Manas Ranjan; Wang, Xiantao; Zhu, Jian-Feng Boundary Schwarz lemma for solutions to nonhomogeneous biharmonic equations. (English) Zbl 1429.31002 Bull. Aust. Math. Soc. 100, No. 3, 470-478 (2019). MSC: 31A30 30C80 PDF BibTeX XML Cite \textit{M. R. Mohapatra} et al., Bull. Aust. Math. Soc. 100, No. 3, 470--478 (2019; Zbl 1429.31002) Full Text: DOI arXiv
Xie, Yaning; Ying, Wenjun; Wang, Wei-Cheng A high-order kernel-free boundary integral method for the biharmonic equation on irregular domains. (English) Zbl 1428.65103 J. Sci. Comput. 80, No. 3, 1681-1699 (2019). MSC: 65N38 31A30 65N06 65T50 PDF BibTeX XML Cite \textit{Y. Xie} et al., J. Sci. Comput. 80, No. 3, 1681--1699 (2019; Zbl 1428.65103) Full Text: DOI
Chapko, Roman; Johansson, B. Tomas Integral equations for biharmonic data completion. (English) Zbl 1447.35377 Inverse Probl. Imaging 13, No. 5, 1095-1111 (2019). MSC: 35R30 35J40 31B30 65R20 74K20 PDF BibTeX XML Cite \textit{R. Chapko} and \textit{B. T. Johansson}, Inverse Probl. Imaging 13, No. 5, 1095--1111 (2019; Zbl 1447.35377) Full Text: DOI
Liu, Ming-Sheng; Luo, Li-Fang Landau-type theorems for certain bounded biharmonic mappings. (English) Zbl 1427.31001 Result. Math. 74, No. 4, Paper No. 170, 20 p. (2019). MSC: 31A05 31A30 PDF BibTeX XML Cite \textit{M.-S. Liu} and \textit{L.-F. Luo}, Result. Math. 74, No. 4, Paper No. 170, 20 p. (2019; Zbl 1427.31001) Full Text: DOI