Luan, Tran Nhat; Khieu, Tran Thi; Khanh, Tra Quoc A filter method with a priori and a posteriori parameter choice for the regularization of Cauchy problems for biharmonic equations. (English) Zbl 07331348 Numer. Algorithms 86, No. 4, 1721-1746 (2021). MSC: 31B30 47A52 65F22 65J20 PDF BibTeX XML Cite \textit{T. N. Luan} et al., Numer. Algorithms 86, No. 4, 1721--1746 (2021; Zbl 07331348) Full Text: DOI
Alsaedi, R.; Dhifli, A.; Ghanmi, A. Low perturbations of \(p\)-biharmonic equations with competing nonlinearities. (English) Zbl 07327590 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 07327590) Full Text: DOI
Emek, Serkan Iterated Robin problem for the higher-order Poisson equation. (English) Zbl 07327109 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 07327109) 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 07315638 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 07315638) Full Text: DOI
He, Qihan; Lv, Zongyan Existence and nonexistence of nontrivial solutions for critical biharmonic equations. (English) Zbl 07315379 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 07315379) Full Text: DOI
Chen, Nanbo; Huang, Zhihua; Liu, Xiaochun Biharmonic equations with totally characteristic degeneracy. (English) Zbl 07312787 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 07312787) Full Text: DOI
Xu, Shipeng A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes. (English) Zbl 07310831 Appl. Numer. Math. 161, 510-524 (2021). MSC: 65N30 65N15 35J15 76D07 31A30 PDF BibTeX XML Cite \textit{S. Xu}, Appl. Numer. Math. 161, 510--524 (2021; Zbl 07310831) 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). 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
Abdelhak, Hadj; Saker, Hacene Corrigendum to “Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients”. (English) Zbl 07310810 Appl. Numer. Math. 161, 147 (2021). MSC: 35J 45E 65 65N 65R PDF BibTeX XML Cite \textit{H. Abdelhak} and \textit{H. Saker}, Appl. Numer. Math. 161, 147 (2021; Zbl 07310810) Full Text: DOI
Hadj, Abdelhak; Saker, Hacene Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients. (English) Zbl 07310783 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 07310783) Full Text: DOI
Huang, Jianguo; Yu, Yue A medius error analysis for nonconforming virtual element methods for Poisson and biharmonic equations. (English) Zbl 07305146 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 07305146) Full Text: DOI
Abreu Blaya, R. A Riemann jump problem for biharmonic functions in fractal domains. (English) Zbl 07301484 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 07301484) Full Text: DOI
Zahed, Hanadi Existence investigation of a fourth order semi-linear weighted problem. (English) Zbl 1455.35106 Int. J. Math. Comput. Sci. 16, No. 2, 687-704 (2021). MSC: 35J61 35J40 35J35 PDF BibTeX XML Cite \textit{H. Zahed}, Int. J. Math. Comput. Sci. 16, No. 2, 687--704 (2021; Zbl 1455.35106) Full Text: Link
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
Rathish Kumar, B. V.; Priyadarshi, Gopal Haar wavelet method for two-dimensional parabolic inverse problem with a control parameter. (English) Zbl 07321709 Rend. Circ. Mat. Palermo (2) 69, No. 3, 961-976 (2020). MSC: 65T60 65C30 31A30 PDF BibTeX XML Cite \textit{B. V. Rathish Kumar} and \textit{G. Priyadarshi}, Rend. Circ. Mat. Palermo (2) 69, No. 3, 961--976 (2020; Zbl 07321709) Full Text: DOI
Capistrano-Filho, Roberto de A.; Cavalcante, Márcio; Gallego, Fernando A. Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane. (English) Zbl 07307881 Pac. J. Math. 309, No. 1, 35-70 (2020). MSC: 35Q55 35A01 35A02 35C15 35G15 35G30 35B65 PDF BibTeX XML Cite \textit{R. de A. Capistrano-Filho} et al., Pac. J. Math. 309, No. 1, 35--70 (2020; Zbl 07307881) Full Text: DOI
Cheng, Kelong; Wang, Cheng; Wise, Steven M. A weakly nonlinear, energy stable scheme for the strongly anisotropic Cahn-Hilliard equation and its convergence analysis. (English) Zbl 1453.65268 J. Comput. Phys. 405, Article ID 109109, 28 p. (2020). MSC: 65M12 65M22 35B10 PDF BibTeX XML Cite \textit{K. Cheng} et al., J. Comput. Phys. 405, Article ID 109109, 28 p. (2020; Zbl 1453.65268) Full Text: DOI
Huang, Yunqing; Wei, Huayi; Yang, Wei; Yi, Nianyu Recovery based finite element method for biharmonic equation in 2D. (English) Zbl 07295190 J. Comput. Math. 38, No. 1, 84-102 (2020). MSC: 65N30 PDF BibTeX XML Cite \textit{Y. Huang} et al., J. Comput. Math. 38, No. 1, 84--102 (2020; Zbl 07295190) Full Text: DOI
Hu, Jun; Zhang, Shangyou An error analysis method SPP-BEAM and a construction guideline of nonconforming finite elements for fourth order elliptic problems. (English) Zbl 07295186 J. Comput. Math. 38, No. 1, 195-222 (2020). MSC: 65G99 65M60 PDF BibTeX XML Cite \textit{J. Hu} and \textit{S. Zhang}, J. Comput. Math. 38, No. 1, 195--222 (2020; Zbl 07295186) 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 07294859 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 07294859)
Dong, Bin; Ju, Haocheng; Lu, Yiping; Shi, Zuoqiang CURE: curvature regularization for missing data recovery. (English) Zbl 07292252 SIAM J. Imaging Sci. 13, No. 4, 2169-2188 (2020). MSC: 62H35 62D10 65D18 68U10 58C40 58J50 PDF BibTeX XML Cite \textit{B. Dong} et al., SIAM J. Imaging Sci. 13, No. 4, 2169--2188 (2020; Zbl 07292252) Full Text: DOI
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
Lurie, S. A.; Volkov-Bogorodskiy, D. B. On regularization of singular solutions of orthotropic elasticity theory. (English) Zbl 1453.74010 Lobachevskii J. Math. 41, No. 10, 2023-2033 (2020). MSC: 74B05 74E10 74R10 74S70 PDF BibTeX XML Cite \textit{S. A. Lurie} and \textit{D. B. Volkov-Bogorodskiy}, Lobachevskii J. Math. 41, No. 10, 2023--2033 (2020; Zbl 1453.74010) 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
Zhong, Jinbiao; Fang, Xing; Wang, Hua Study on positive radial solution of boundary value problem for a class of biharmonic equations. (Chinese. English summary) Zbl 07266803 J. Hefei Univ. Technol., Nat. Sci. 43, No. 3, 425-428 (2020). MSC: 35B09 35J25 PDF BibTeX XML Cite \textit{J. Zhong} et al., J. Hefei Univ. Technol., Nat. Sci. 43, No. 3, 425--428 (2020; Zbl 07266803) 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
Li, Dong; Wang, Fan; Yang, Kai An improved gradient bound for 2D MBE. (English) Zbl 1452.35050 J. Differ. Equations 269, No. 12, 11165-11171 (2020). MSC: 35B45 35K35 35K58 76A20 PDF BibTeX XML Cite \textit{D. Li} et al., J. Differ. Equations 269, No. 12, 11165--11171 (2020; Zbl 1452.35050) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. (English) Zbl 1443.65188 Comput. Math. Appl. 79, No. 3, 876-888 (2020). MSC: 65M60 PDF BibTeX XML Cite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Comput. Math. Appl. 79, No. 3, 876--888 (2020; Zbl 1443.65188) Full Text: DOI
Wang, Weihua \(p\)-biharmonic equation with Hardy-Sobolev exponent and without the Ambrosetti-Rabinowitz condition. (English) Zbl 07254952 Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 42, 16 p. (2020). MSC: 35J35 35J62 35J75 35D30 PDF BibTeX XML Cite \textit{W. Wang}, Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 42, 16 p. (2020; Zbl 07254952) Full Text: DOI
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
Meng, Fengjuan; Zhang, Fubao; Zhang, Yuanyuan Multiple positive solutions for biharmonic equation of Kirchhoff type involving concave-convex nonlinearities. (English) Zbl 1448.35155 Electron. J. Differ. Equ. 2020, Paper No. 44, 15 p. (2020). MSC: 35J30 35J35 35J91 PDF BibTeX XML Cite \textit{F. Meng} et al., Electron. J. Differ. Equ. 2020, Paper No. 44, 15 p. (2020; Zbl 1448.35155) Full Text: Link
Nazarov, Sergeĭ A. Homogenization of Kirchhoff plates with oscillating edges and point supports. (English. Russian original) Zbl 1446.35018 Izv. Math. 84, No. 4, 722-779 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 4, 110-168 (2020). MSC: 35B27 35C20 35J40 74K20 74Q05 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Izv. Math. 84, No. 4, 722--779 (2020; Zbl 1446.35018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 4, 110--168 (2020) 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
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
Thach, Tran Ngoc; Tuan, Nguyen Huy; O’Regan, Donal Regularized solution for a biharmonic equation with discrete data. (English) Zbl 1439.65135 Evol. Equ. Control Theory 9, No. 2, 341-358 (2020). MSC: 65N20 35J40 65N12 PDF BibTeX XML Cite \textit{T. N. Thach} et al., Evol. Equ. Control Theory 9, No. 2, 341--358 (2020; Zbl 1439.65135) 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
Dinh, Doan Cong Generalized Clifford algebras associated to certain partial differential equations. (English) Zbl 1441.30071 Adv. Appl. Clifford Algebr. 30, No. 3, Paper No. 41, 10 p. (2020). MSC: 30G35 PDF BibTeX XML Cite \textit{D. C. Dinh}, Adv. Appl. Clifford Algebr. 30, No. 3, Paper No. 41, 10 p. (2020; Zbl 1441.30071) 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
Huang, Xia; Wang, Liping Classification to the positive radial solutions with weighted biharmonic equation. (English) Zbl 1440.35085 Discrete Contin. Dyn. Syst. 40, No. 8, 4821-4837 (2020). MSC: 35J30 35J61 35A01 PDF BibTeX XML Cite \textit{X. Huang} and \textit{L. Wang}, Discrete Contin. Dyn. Syst. 40, No. 8, 4821--4837 (2020; Zbl 1440.35085) Full Text: DOI
Rădulescu, Vicenţiu D.; Repovš, Dušan D. Combined effects for non-autonomous singular biharmonic problems. (English) Zbl 1441.35125 Discrete Contin. Dyn. Syst., Ser. S 13, No. 7, 2057-2068 (2020). Reviewer: Patrick Winkert (Berlin) MSC: 35J60 35A15 PDF BibTeX XML Cite \textit{V. D. Rădulescu} and \textit{D. D. Repovš}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 7, 2057--2068 (2020; Zbl 1441.35125) Full Text: DOI
Rudoy, Evgeniĭ Mikhaĭlovich Asymptotic modelling of bonded plates by a soft thin adhesive layer. (English) Zbl 1434.74078 Sib. Èlektron. Mat. Izv. 17, 615-625 (2020). MSC: 74K20 PDF BibTeX XML Cite \textit{E. M. Rudoy}, Sib. Èlektron. Mat. Izv. 17, 615--625 (2020; Zbl 1434.74078) 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: 65 PDF BibTeX XML Cite \textit{S. Zhang}, IMA J. Numer. Anal. 40, No. 2, 1390--1406 (2020; Zbl 07199513) Full Text: DOI
Braess, Dietrich; Pechstein, Astrid S.; Schöberl, Joachim An equilibration-based a posteriori error bound for the biharmonic equation and two finite element methods. (English) Zbl 07199498 IMA J. Numer. Anal. 40, No. 2, 951-975 (2020). MSC: 65 PDF BibTeX XML Cite \textit{D. Braess} et al., IMA J. Numer. Anal. 40, No. 2, 951--975 (2020; Zbl 07199498) 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
Liu, Chein-Shan; Qiu, Lin; Lin, Ji Simulating thin plate bending problems by a family of two-parameter homogenization functions. (English) Zbl 07190973 Appl. Math. Modelling 79, 284-299 (2020). MSC: 74 65 PDF BibTeX XML Cite \textit{C.-S. Liu} et al., Appl. Math. Modelling 79, 284--299 (2020; Zbl 07190973) 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
Wang, Fajie; Fan, Chia-Ming; Hua, Qingsong; Gu, Yan Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations. (English) Zbl 1433.65338 Appl. Math. Comput. 364, Article ID 124658, 14 p. (2020). MSC: 65N80 35R30 35J05 PDF BibTeX XML Cite \textit{F. Wang} et al., Appl. Math. Comput. 364, Article ID 124658, 14 p. (2020; Zbl 1433.65338) Full Text: DOI
Yuana, Ziqing; Yu, Jianshe Existence and multiplicity of nontrivial solutions of biharmonic equations via differential inclusion. (English) Zbl 1423.35477 Commun. Pure Appl. Anal. 19, No. 1, 391-405 (2020). MSC: 35R70 35J70 49J52 PDF BibTeX XML Cite \textit{Z. Yuana} and \textit{J. Yu}, Commun. Pure Appl. Anal. 19, No. 1, 391--405 (2020; Zbl 1423.35477) Full Text: DOI
Watson, Daniel W.; Karageorghis, Andreas; Chen, C. S. The radial basis function-differential quadrature method for elliptic problems in annular domains. (English) Zbl 1418.65188 J. Comput. Appl. Math. 363, 53-76 (2020). MSC: 65N35 65N22 PDF BibTeX XML Cite \textit{D. W. Watson} et al., J. Comput. Appl. Math. 363, 53--76 (2020; Zbl 1418.65188) Full Text: DOI
Ushakov, A. L. Fast solution of a model problem for the biharmonic equation. (Russian. English summary) Zbl 07296543 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 07296543) Full Text: DOI MNR
Turmetov, Batirkhan Khudaĭbergenovich Green function for analogue of Robin problem for polyharmonic equation. (Russian. English summary) Zbl 07281250 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 07281250); translation in Ufa Math. J. 11, No. 3, 78--87 (2019) Full Text: DOI MNR
Rahnama, H.; Shokrieh, M. M. Axisymmetric equilibrium of an isotropic elastic solid circular finite cylinder. (English) Zbl 1446.74087 Math. Mech. Solids 24, No. 4, 996-1029 (2019). MSC: 74B05 74G10 PDF BibTeX XML Cite \textit{H. Rahnama} and \textit{M. M. Shokrieh}, Math. Mech. Solids 24, No. 4, 996--1029 (2019; Zbl 1446.74087) Full Text: DOI
Mikishanina, Evgeniya Arifzhanovna Investigation of the filtration coefficient of elastic-porous medium at plane deformation. (Russian. English summary) Zbl 1445.74015 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 29, No. 3, 396-407 (2019). MSC: 74F10 74S15 76S05 PDF BibTeX XML Cite \textit{E. A. Mikishanina}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 29, No. 3, 396--407 (2019; Zbl 1445.74015) Full Text: DOI MNR
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
Shapeev, Vasiliĭ Pavlovich; Bryndin, Luka Sergeevich; Belyaev, Vasiliĭ Alekseevich Solving elliptic equations in polygonal domains by the least squares collocation method. (Russian. English summary) Zbl 1433.35031 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 12, No. 3, 140-152 (2019). MSC: 35J15 35J40 41A10 65N50 PDF BibTeX XML Cite \textit{V. P. Shapeev} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 12, No. 3, 140--152 (2019; Zbl 1433.35031) Full Text: DOI MNR
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
Zhou, Sangsang; Jia, Gao Existence of ground state solution for a class of quasilinear biharmonic equations. (Chinese. English summary) Zbl 1449.35231 J. Jilin Univ., Sci. 57, No. 4, 741-746 (2019). MSC: 35J62 PDF BibTeX XML Cite \textit{S. Zhou} and \textit{G. Jia}, J. Jilin Univ., Sci. 57, No. 4, 741--746 (2019; Zbl 1449.35231) 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
Ou, Xiaohang Sufficient and necessary condition for the existence of positive entire solutions of a nonlinear biharmonic equations on \({\mathbb{R}^N}\). (Chinese. English summary) Zbl 1449.35217 Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 3, 535-544 (2019). MSC: 35J60 35B08 35B09 PDF BibTeX XML Cite \textit{X. Ou}, Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 3, 535--544 (2019; Zbl 1449.35217)
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