Carstensen, Carsten; Gräßle, Benedikt; Nataraj, Neela Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. (English) Zbl 07818545 J. Numer. Math. 32, No. 1, 77-109 (2024). MSC: 65N30 65N12 65N15 65N50 31A30 PDFBibTeX XMLCite \textit{C. Carstensen} et al., J. Numer. Math. 32, No. 1, 77--109 (2024; Zbl 07818545) Full Text: DOI arXiv
Li, Jin; Cheng, Yongling Spectral collocation method for convection-diffusion equation. (English) Zbl 07813271 Demonstr. Math. 57, Article ID 20230110, 13 p. (2024). MSC: 65M70 65D05 41A25 41A50 31A30 76R50 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. Cheng}, Demonstr. Math. 57, Article ID 20230110, 13 p. (2024; Zbl 07813271) Full Text: DOI OA License
Munnier, Alexandre Invertibility criteria for the biharmonic single-layer potential. (English) Zbl 07812580 Integral Equations Oper. Theory 96, No. 1, Paper No. 7, 13 p. (2024). MSC: 47-XX PDFBibTeX XMLCite \textit{A. Munnier}, Integral Equations Oper. Theory 96, No. 1, Paper No. 7, 13 p. (2024; Zbl 07812580) Full Text: DOI arXiv
Yue, Junhong; Li, Peijun Numerical solution of the cavity scattering problem for flexural waves on thin plates: linear finite element methods. (English) Zbl 07811302 J. Comput. Phys. 497, Article ID 112606, 25 p. (2024). MSC: 65Nxx 35Jxx 74Kxx PDFBibTeX XMLCite \textit{J. Yue} and \textit{P. Li}, J. Comput. Phys. 497, Article ID 112606, 25 p. (2024; Zbl 07811302) Full Text: DOI arXiv
Legg, Alan R. Ellipses and polynomial-to-polynomial mapping of weighted Szegő projections. (English) Zbl 07811279 Anal. Math. Phys. 14, No. 1, Paper No. 5, 11 p. (2024). MSC: 31A05 31A10 31A30 30H10 30H20 32A25 PDFBibTeX XMLCite \textit{A. R. Legg}, Anal. Math. Phys. 14, No. 1, Paper No. 5, 11 p. (2024; Zbl 07811279) Full Text: DOI arXiv
Chen, Chuanjun; Yang, Xiaofeng Efficient fully discrete spectral-Galerkin scheme for the volume-conserved multi-vesicular phase-field model of lipid vesicles with adhesion potential. (English) Zbl 07810750 Commun. Math. Stat. 12, No. 1, 15-43 (2024). MSC: 65M70 65M60 65M06 65N35 65N30 65M12 65Z05 35R09 76T30 74K15 31A30 76M22 74S25 35Q35 35Q74 PDFBibTeX XMLCite \textit{C. Chen} and \textit{X. Yang}, Commun. Math. Stat. 12, No. 1, 15--43 (2024; Zbl 07810750) Full Text: DOI
Liu, Yang; Zhang, Mengjie Existence of solutions for nonlinear biharmonic Choquard equations on weighted lattice graphs. (English) Zbl 07808091 J. Math. Anal. Appl. 534, No. 2, Article ID 128079, 18 p. (2024). MSC: 35J30 35R02 35A01 35A15 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{M. Zhang}, J. Math. Anal. Appl. 534, No. 2, Article ID 128079, 18 p. (2024; Zbl 07808091) Full Text: DOI
Khalfallah, Adel; Mhamdi, Mohamed Schwarz type lemmas for generalized harmonic functions. (English) Zbl 07807912 Bull. Malays. Math. Sci. Soc. (2) 47, No. 2, Paper No. 53, 22 p. (2024). MSC: 31A30 31A05 35J25 PDFBibTeX XMLCite \textit{A. Khalfallah} and \textit{M. Mhamdi}, Bull. Malays. Math. Sci. Soc. (2) 47, No. 2, Paper No. 53, 22 p. (2024; Zbl 07807912) Full Text: DOI
Sinha, Arvind Kumar; Sahoo, Radhakrushna Introducing higher-order Haar wavelet method for solving three-dimensional partial differential equations. (English) Zbl 07807350 Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 2, Article ID 2350040, 31 p. (2024). MSC: 65N35 35J05 35J30 35R07 65T60 PDFBibTeX XMLCite \textit{A. K. Sinha} and \textit{R. Sahoo}, Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 2, Article ID 2350040, 31 p. (2024; Zbl 07807350) Full Text: DOI
Ovall, Jeffrey S.; Reynolds, Samuel E. Evaluation of inner products of implicitly defined finite element functions on multiply connected planar mesh cells. (English) Zbl 07805931 SIAM J. Sci. Comput. 46, No. 1, A338-A359 (2024). MSC: 65E05 65N30 30E20 31A10 31A30 45A05 PDFBibTeX XMLCite \textit{J. S. Ovall} and \textit{S. E. Reynolds}, SIAM J. Sci. Comput. 46, No. 1, A338--A359 (2024; Zbl 07805931) Full Text: DOI arXiv
Liu, Ming-Sheng; Ponnusamy, Saminathan Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings. (English) Zbl 07802124 Can. Math. Bull. 67, No. 1, 152-165 (2024). MSC: 30C99 31A05 31A30 30C62 PDFBibTeX XMLCite \textit{M.-S. Liu} and \textit{S. Ponnusamy}, Can. Math. Bull. 67, No. 1, 152--165 (2024; Zbl 07802124) Full Text: DOI arXiv OA License
Verhelst, H. M.; Weinmüller, P.; Mantzaflaris, A.; Takacs, T.; Toshniwal, D. A comparison of smooth basis constructions for isogeometric analysis. (English) Zbl 07796682 Comput. Methods Appl. Mech. Eng. 419, Article ID 116659, 27 p. (2024). MSC: 65-XX 92-XX PDFBibTeX XMLCite \textit{H. M. Verhelst} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116659, 27 p. (2024; Zbl 07796682) Full Text: DOI arXiv
Dong, Heping; Li, Peijun A novel boundary integral formulation for the biharmonic wave scattering problem. (English) Zbl 07794697 J. Sci. Comput. 98, No. 2, Paper No. 42, 29 p. (2024). Reviewer: Olaf Hansen (San Marcos) MSC: 65R20 65N38 65N35 45L05 31A30 PDFBibTeX XMLCite \textit{H. Dong} and \textit{P. Li}, J. Sci. Comput. 98, No. 2, Paper No. 42, 29 p. (2024; Zbl 07794697) Full Text: DOI arXiv
Liu, Ming-Sheng; Wang, Xin; Kou, Kit Ian Estimates on Bloch constants for certain \(\log\)-\(p\)-harmonic mappings. (English) Zbl 07789022 Monatsh. Math. 203, No. 1, 175-198 (2024). MSC: 31A30 PDFBibTeX XMLCite \textit{M.-S. Liu} et al., Monatsh. Math. 203, No. 1, 175--198 (2024; Zbl 07789022) Full Text: DOI
Camargo, Liliana; López-Rodríguez, Bibiana; Osorio, Mauricio; Solano, Manuel An adaptive and quasi-periodic HDG method for Maxwell’s equations in heterogeneous media. (English) Zbl 07784041 J. Sci. Comput. 98, No. 1, Paper No. 7, 32 p. (2024). MSC: 65N30 65N12 65N15 78A25 78M10 31A30 35Q61 PDFBibTeX XMLCite \textit{L. Camargo} et al., J. Sci. Comput. 98, No. 1, Paper No. 7, 32 p. (2024; Zbl 07784041) Full Text: DOI OA License
Masood, Y.; Kara, A. H.; Zaman, F. D. An invariance and closed form analysis of the nonlinear biharmonic beam equation. (English) Zbl 07819445 Malays. J. Math. Sci. 17, No. 2, 211-225 (2023). MSC: 35-XX 65-XX PDFBibTeX XMLCite \textit{Y. Masood} et al., Malays. J. Math. Sci. 17, No. 2, 211--225 (2023; Zbl 07819445) Full Text: DOI
Ma, Cheng Normalized solutions for the mixed dispersion nonlinear Schrödinger equations with four types of potentials and mass subcritical growth. (English) Zbl 07804313 Electron. Res. Arch. 31, No. 7, 3759-3775 (2023). MSC: 35J10 35Q55 35A01 35A15 PDFBibTeX XMLCite \textit{C. Ma}, Electron. Res. Arch. 31, No. 7, 3759--3775 (2023; Zbl 07804313) Full Text: DOI
Bryndin, Luka Sergeevich; Belyaev, Vasiliĭ Alekseevich; Shapeev, Vasiliĭ Pavlovich Development and verification of a simplified hp-version of the least-squares collocation method for irregular domains. (Russian. English summary) Zbl 07804258 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 16, No. 3, 35-50 (2023). MSC: 35J40 65N35 PDFBibTeX XMLCite \textit{L. S. Bryndin} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 16, No. 3, 35--50 (2023; Zbl 07804258) Full Text: DOI MNR
Auchmuty, Giles Planar biharmonic vector fields; potentials and traces. (English) Zbl 07800851 Ann. Math. Sci. Appl. 8, No. 3, 413-426 (2023). MSC: 35J40 31A30 PDFBibTeX XMLCite \textit{G. Auchmuty}, Ann. Math. Sci. Appl. 8, No. 3, 413--426 (2023; Zbl 07800851) Full Text: DOI
Ryazanov, Vladimir Hilbert and Poincaré problems for semi-linear equations in rectifiable domains. (English) Zbl 07800551 Topol. Methods Nonlinear Anal. 62, No. 1, 1-24 (2023). MSC: 30E25 35J61 35Q15 31A05 35Q35 31A15 31A20 31A25 31A30 31C05 PDFBibTeX XMLCite \textit{V. Ryazanov}, Topol. Methods Nonlinear Anal. 62, No. 1, 1--24 (2023; Zbl 07800551) Full Text: DOI arXiv
Liu, Zhongyuan Concentrating solutions for a biharmonic problem with supercritical growth. (English) Zbl 07799917 Topol. Methods Nonlinear Anal. 62, No. 2, 455-484 (2023). MSC: 35J91 35J40 31B30 35A01 PDFBibTeX XMLCite \textit{Z. Liu}, Topol. Methods Nonlinear Anal. 62, No. 2, 455--484 (2023; Zbl 07799917) Full Text: DOI Link
Gómez, D.; Nazarov, S. A.; Pérez-Martínez, M.-E. Pointwise fixation along the edge of a Kirchhoff plate. (English. Russian original) Zbl 07798756 J. Math. Sci., New York 277, No. 4, 545-564 (2023); translation from Zap. Nauchn. Semin. POMI 493, 107-137 (2020). MSC: 35J40 31A30 PDFBibTeX XMLCite \textit{D. Gómez} et al., J. Math. Sci., New York 277, No. 4, 545--564 (2023; Zbl 07798756); translation from Zap. Nauchn. Semin. POMI 493, 107--137 (2020) Full Text: DOI
Kononov, Yu. M. On the solution of a complicated biharmonic equation in a hydroelasticity problem. (English. Ukrainian original) Zbl 07798135 J. Math. Sci., New York 274, No. 3, 340-351 (2023); translation from Ukr. Mat. Visn. 20, No. 2, 203-218 (2023). MSC: 74Hxx 74Fxx 76Bxx PDFBibTeX XMLCite \textit{Yu. M. Kononov}, J. Math. Sci., New York 274, No. 3, 340--351 (2023; Zbl 07798135); translation from Ukr. Mat. Visn. 20, No. 2, 203--218 (2023) Full Text: DOI
Zhang, Ziheng; Liu, Jianlun; Guan, Qingle Existence and multiplicity of normalized solutions to biharmonic Schrödinger equations with subcritical growth. (English) Zbl 07796992 Bull. Iran. Math. Soc. 49, No. 6, Paper No. 80, 26 p. (2023). MSC: 35Jxx 35A15 35J30 35J35 35J60 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Bull. Iran. Math. Soc. 49, No. 6, Paper No. 80, 26 p. (2023; Zbl 07796992) Full Text: DOI
Özsarı, Türker; Kalimeris, Konstantinos Existence of unattainable states for Schrödinger type flows on the half-line. (English) Zbl 07795614 IMA J. Math. Control Inf. 40, No. 4, 789-803 (2023). MSC: 93B05 93C20 35Q55 PDFBibTeX XMLCite \textit{T. Özsarı} and \textit{K. Kalimeris}, IMA J. Math. Control Inf. 40, No. 4, 789--803 (2023; Zbl 07795614) Full Text: DOI
Mederski, Jarosław; Siemianowski, Jakub Biharmonic nonlinear scalar field equations. (English) Zbl 07795012 Int. Math. Res. Not. 2023, No. 23, 19963-19995 (2023). MSC: 35J91 31B30 35B65 35A01 PDFBibTeX XMLCite \textit{J. Mederski} and \textit{J. Siemianowski}, Int. Math. Res. Not. 2023, No. 23, 19963--19995 (2023; Zbl 07795012) Full Text: DOI arXiv OA License
Maity, Ruma Rani; Majumdar, Apala; Nataraj, Neela A priori and a posteriori error analysis for semilinear problems in liquid crystals. (English) Zbl 07792485 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3201-3250 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 35J15 35J60 65N12 65N15 35B45 35B65 31A30 76A15 82D30 76M10 35Q35 PDFBibTeX XMLCite \textit{R. R. Maity} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3201--3250 (2023; Zbl 07792485) Full Text: DOI
Priyadarshi, Gopal; Korkut, Sila Ovgu Comparative work for the source identification in parabolic inverse problem based on Taylor and Chebyshev wavelet methods. (English) Zbl 07789795 Math. Methods Appl. Sci. 46, No. 16, 16542-16561 (2023). MSC: 65T60 65C30 31A30 PDFBibTeX XMLCite \textit{G. Priyadarshi} and \textit{S. O. Korkut}, Math. Methods Appl. Sci. 46, No. 16, 16542--16561 (2023; Zbl 07789795) Full Text: DOI arXiv
Matevossian, H. A. On solutions of the Navier problem for a polyharmonic equation in unbounded domains. (English) Zbl 07788027 Russ. J. Math. Phys. 30, No. 4, 713-716 (2023). MSC: 35J40 31B30 35A02 PDFBibTeX XMLCite \textit{H. A. Matevossian}, Russ. J. Math. Phys. 30, No. 4, 713--716 (2023; Zbl 07788027) Full Text: DOI
Luyen, Duong Trong; Trang, Mai Thi Thu Multiple solutions to boundary-value problems for fourth-order elliptic equations. (English) Zbl 07786459 Ukr. Math. J. 75, No. 6, 950-963 (2023) and Ukr. Mat. Zh. 75, No. 6, 830-841 (2023). MSC: 35J40 31B30 35A01 PDFBibTeX XMLCite \textit{D. T. Luyen} and \textit{M. T. T. Trang}, Ukr. Math. J. 75, No. 6, 950--963 (2023; Zbl 07786459) Full Text: DOI
Wu, Zijian; Chen, Haibo Fourth order elliptic equation involving sign-changing weight function in \(\mathbb{R}^N\). (English) Zbl 07785807 J. Dyn. Control Syst. 29, No. 4, 1509-1524 (2023). MSC: 35J30 31B30 35A01 35A15 PDFBibTeX XMLCite \textit{Z. Wu} and \textit{H. Chen}, J. Dyn. Control Syst. 29, No. 4, 1509--1524 (2023; Zbl 07785807) Full Text: DOI
Ren, Guangbin; Zhang, Lizheng Almansi decomposition of polynomials of quaternionic Dirac operators. (English) Zbl 07783326 J. Math. Phys. 64, No. 12, Article ID 121512, 15 p. (2023). MSC: 31A30 43A85 PDFBibTeX XMLCite \textit{G. Ren} and \textit{L. Zhang}, J. Math. Phys. 64, No. 12, Article ID 121512, 15 p. (2023; Zbl 07783326) Full Text: DOI
Liu, Yang; Zu, Jian Stability of inverse scattering problem for the damped biharmonic plate equation. (English) Zbl 07782136 Math. Methods Appl. Sci. 46, No. 5, 5794-5809 (2023). MSC: 35R30 35P25 74K20 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{J. Zu}, Math. Methods Appl. Sci. 46, No. 5, 5794--5809 (2023; Zbl 07782136) Full Text: DOI
Yuan, Ziqing Existence and concentration of solutions for a class of biharmonic Kirchhoff equations with discontinuous nonlinearity. (English) Zbl 07781301 Math. Methods Appl. Sci. 46, No. 2, 2288-2304 (2023). MSC: 35J30 35J62 35A01 35A15 PDFBibTeX XMLCite \textit{Z. Yuan}, Math. Methods Appl. Sci. 46, No. 2, 2288--2304 (2023; Zbl 07781301) Full Text: DOI
Drissi, Amor; Ghanmi, Abdeljabbar; Repovš, Dušan D. Singular \(p\)-biharmonic problems involving the Hardy-Sobolev exponent. (English) Zbl 07781049 Electron. J. Differ. Equ. 2023, Paper No. 61, 12 p. (2023). MSC: 35J40 35A01 35A15 PDFBibTeX XMLCite \textit{A. Drissi} et al., Electron. J. Differ. Equ. 2023, Paper No. 61, 12 p. (2023; Zbl 07781049) Full Text: arXiv Link
Cheng, Kelong; Wang, Cheng; Wise, Steven M. High order accurate and convergent numerical scheme for the strongly anisotropic Cahn-Hilliard model. (English) Zbl 07777387 Numer. Methods Partial Differ. Equations 39, No. 5, 4007-4029 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{K. Cheng} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 4007--4029 (2023; Zbl 07777387) Full Text: DOI
Ye, Xiu; Zhang, Shangyou Four-order superconvergent weak Galerkin methods for the biharmonic equation on triangular meshes. (English) Zbl 07776118 Commun. Appl. Math. Comput. 5, No. 4, 1323-1338 (2023). MSC: 65N15 65N30 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Commun. Appl. Math. Comput. 5, No. 4, 1323--1338 (2023; Zbl 07776118) Full Text: DOI
Carstensen, Carsten; Khot, Rekha; Pani, Amiya K. Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. (English) Zbl 1528.65103 SIAM J. Numer. Anal. 61, No. 5, 2460-2484 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N50 65N12 65N15 31A30 PDFBibTeX XMLCite \textit{C. Carstensen} et al., SIAM J. Numer. Anal. 61, No. 5, 2460--2484 (2023; Zbl 1528.65103) Full Text: DOI arXiv
Dridi, Brahim; Jaidane, Rached Existence of ground state solutions for weighted biharmonic problem involving non linear exponential growth. (English) Zbl 1526.35142 J. Elliptic Parabol. Equ. 9, No. 2, 831-851 (2023). MSC: 35J40 35A01 35A15 PDFBibTeX XMLCite \textit{B. Dridi} and \textit{R. Jaidane}, J. Elliptic Parabol. Equ. 9, No. 2, 831--851 (2023; Zbl 1526.35142) Full Text: DOI arXiv
Hou, Songbo Multiple solutions of a nonlinear biharmonic equation on graphs. (English) Zbl 1526.35275 Commun. Math. Stat. 11, No. 4, 767-774 (2023). MSC: 35R02 35A15 35J40 PDFBibTeX XMLCite \textit{S. Hou}, Commun. Math. Stat. 11, No. 4, 767--774 (2023; Zbl 1526.35275) Full Text: DOI arXiv
Chung, Nguyen Thanh Infinitely many solutions for some fourth order elliptic equations of \(p(x)\)-Kirchhoff type. (English) Zbl 1525.35098 Differ. Equ. Dyn. Syst. 31, No. 4, 693-707 (2023). MSC: 35J40 35A01 35J35 PDFBibTeX XMLCite \textit{N. T. Chung}, Differ. Equ. Dyn. Syst. 31, No. 4, 693--707 (2023; Zbl 1525.35098) Full Text: DOI
Chen, Jianqing; Chen, Zhewen Multiple normalized solutions for biharmonic Choquard equation with Hardy-Littlewood-Sobolev upper critical and combined nonlinearities. (English) Zbl 1526.35140 J. Geom. Anal. 33, No. 12, Paper No. 371, 26 p. (2023). MSC: 35J30 35J61 35A01 35A15 PDFBibTeX XMLCite \textit{J. Chen} and \textit{Z. Chen}, J. Geom. Anal. 33, No. 12, Paper No. 371, 26 p. (2023; Zbl 1526.35140) Full Text: DOI
Chen, Mingqing; Huang, Jianguo; Huang, Xuehai A robust lower-order mixed finite element method for a strain gradient elastic model. (English) Zbl 1527.65126 SIAM J. Numer. Anal. 61, No. 5, 2237-2260 (2023). MSC: 65N30 65N12 65N15 65N22 74B10 35B65 31A30 35Q74 PDFBibTeX XMLCite \textit{M. Chen} et al., SIAM J. Numer. Anal. 61, No. 5, 2237--2260 (2023; Zbl 1527.65126) Full Text: DOI arXiv
Feng, Meiqiang Positive solutions for biharmonic equations: existence, uniqueness and multiplicity. (English) Zbl 1525.35099 Mediterr. J. Math. 20, No. 6, Paper No. 309, 22 p. (2023). MSC: 35J40 35A01 35A02 PDFBibTeX XMLCite \textit{M. Feng}, Mediterr. J. Math. 20, No. 6, Paper No. 309, 22 p. (2023; Zbl 1525.35099) Full Text: DOI
Drygaś, Piotr; Mityushev, Vladimir Lattice sums for double periodic polyanalytic functions. (English) Zbl 07750840 Anal. Math. Phys. 13, No. 5, Paper No. 75, 27 p. (2023). MSC: 31A30 11M36 33E05 PDFBibTeX XMLCite \textit{P. Drygaś} and \textit{V. Mityushev}, Anal. Math. Phys. 13, No. 5, Paper No. 75, 27 p. (2023; Zbl 07750840) Full Text: DOI arXiv
Migliaccio, G.; Matevossian, H. A. Steklov-Farwig biharmonic problem in exterior domains. (English) Zbl 1525.35101 Lobachevskii J. Math. 44, No. 6, 2413-2428 (2023). MSC: 35J40 35A02 PDFBibTeX XMLCite \textit{G. Migliaccio} and \textit{H. A. Matevossian}, Lobachevskii J. Math. 44, No. 6, 2413--2428 (2023; Zbl 1525.35101) Full Text: DOI
Karachik, V. V. Representation of the Green’s function of the Dirichlet problem for the polyharmonic equation in the ball. (English. Russian original) Zbl 1525.35100 Differ. Equ. 59, No. 8, 1061-1074 (2023); translation from Differ. Uravn. 59, No. 8, 1057-1069 (2023). MSC: 35J40 31B30 35A08 PDFBibTeX XMLCite \textit{V. V. Karachik}, Differ. Equ. 59, No. 8, 1061--1074 (2023; Zbl 1525.35100); translation from Differ. Uravn. 59, No. 8, 1057--1069 (2023) Full Text: DOI
Tazhimbetov, Nurbek; Almquist, Martin; Werpers, Jonatan; Dunham, Eric M. Simulation of flexural-gravity wave propagation for elastic plates in shallow water using an energy-stable finite difference method with weakly enforced boundary and interface conditions. (English) Zbl 07748056 J. Comput. Phys. 493, Article ID 112470, 27 p. (2023). MSC: 65Mxx 35Lxx 65Nxx PDFBibTeX XMLCite \textit{N. Tazhimbetov} et al., J. Comput. Phys. 493, Article ID 112470, 27 p. (2023; Zbl 07748056) Full Text: DOI
Ait Hammou, Mustapha \(p(x)\)-biharmonic problem with Navier boundary conditions. (English) Zbl 1523.35149 Riv. Mat. Univ. Parma (N.S.) 14, No. 1, 33-44 (2023). MSC: 35J40 35J62 35A01 PDFBibTeX XMLCite \textit{M. Ait Hammou}, Riv. Mat. Univ. Parma (N.S.) 14, No. 1, 33--44 (2023; Zbl 1523.35149) Full Text: Link
Mason, D. P.; Fowkes, N. D.; Yemata, R. M.; Onyeagoziri, C. A.; Yilmaz, H. Wall stabilization in mines by spray-on liners. (English) Zbl 1525.74144 ANZIAM J. 65, No. 1-2, 55-78 (2023). MSC: 74L10 74R10 74G70 74B05 PDFBibTeX XMLCite \textit{D. P. Mason} et al., ANZIAM J. 65, No. 1--2, 55--78 (2023; Zbl 1525.74144) Full Text: DOI
Plaksa, S. A.; Shpakivs’kyĭ, V. S. Integral theorems in finite-dimensional commutative algebra. (Ukrainian. English summary) Zbl 07744811 Zb. Pr. Inst. Mat. NAN Ukr. 20, No. 1, 911-946 (2023). MSC: 30G35 35J05 31A30 PDFBibTeX XMLCite \textit{S. A. Plaksa} and \textit{V. S. Shpakivs'kyĭ}, Zb. Pr. Inst. Mat. NAN Ukr. 20, No. 1, 911--946 (2023; Zbl 07744811) Full Text: DOI
Jiang, Ruiting; Feng, Haixing; Zhai, Chengbo Infinitely many high energy solutions for nonlocal fourth-order equation with sign-changing potential. (English) Zbl 1523.35148 Appl. Anal. 102, No. 15, 4350-4358 (2023). MSC: 35J30 35J62 35A01 PDFBibTeX XMLCite \textit{R. Jiang} et al., Appl. Anal. 102, No. 15, 4350--4358 (2023; Zbl 1523.35148) Full Text: DOI
Berhanu, S. Boundary unique continuation for the Laplace equation and the biharmonic operator. (English) Zbl 07742703 Commun. Anal. Geom. 31, No. 1, 1-29 (2023). MSC: 53C43 58E20 35B60 PDFBibTeX XMLCite \textit{S. Berhanu}, Commun. Anal. Geom. 31, No. 1, 1--29 (2023; Zbl 07742703) Full Text: DOI
Szulc, Katarzyna Numerical solution to the linearized model of a clamped-free plate using nonconforming finite elements. (English) Zbl 07742541 Evol. Equ. Control Theory 12, No. 6, 1456-1472 (2023). MSC: 65-XX 35G45 31A30 35B41 74K20 65N12 65N25 PDFBibTeX XMLCite \textit{K. Szulc}, Evol. Equ. Control Theory 12, No. 6, 1456--1472 (2023; Zbl 07742541) Full Text: DOI
de Roberto, Capistrano-Filho; de Jesus, Isadora Maria; Victor Hugo, Gonzalez Martinez Infinite memory effects on the stabilization of a biharmonic Schrödinger equation. (English) Zbl 07742373 Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 39, 23 p. (2023). MSC: 35Q55 35B40 35B45 PDFBibTeX XMLCite \textit{C.-F. de Roberto} et al., Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 39, 23 p. (2023; Zbl 07742373) Full Text: DOI
Gryshchuk, Serhii Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra. (English) Zbl 1523.30062 Proc. Int. Geom. Cent. 16, No. 1, 78-90 (2023). MSC: 30G35 35E20 PDFBibTeX XMLCite \textit{S. Gryshchuk}, Proc. Int. Geom. Cent. 16, No. 1, 78--90 (2023; Zbl 1523.30062) Full Text: DOI
Tao, Huo; Li, Lin; Yang, Xiao-Qiong Existence of nontrivial solution for quasilinear equations involving the 1-biharmonic operator. (English) Zbl 07737694 Asymptotic Anal. 133, No. 4, 535-553 (2023). MSC: 35J30 35A01 35A15 PDFBibTeX XMLCite \textit{H. Tao} et al., Asymptotic Anal. 133, No. 4, 535--553 (2023; Zbl 07737694) Full Text: DOI
Liu, Jianlun; Zhang, Ziheng Normalized solutions to biharmonic Schrödinger equation with critical growth in \(\mathbb{R}^N\). (English) Zbl 07735392 Comput. Appl. Math. 42, No. 6, Paper No. 276, 23 p. (2023). MSC: 35J35 35A15 35J61 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Z. Zhang}, Comput. Appl. Math. 42, No. 6, Paper No. 276, 23 p. (2023; Zbl 07735392) Full Text: DOI
Fishelov, D.; Croisille, J.-P. Optimal convergence for time-dependent linearized Kuramoto-Sivashinsky type problems: a new approach. (English) Zbl 07732725 J. Comput. Appl. Math. 429, Article ID 115229, 14 p. (2023). MSC: 65Mxx PDFBibTeX XMLCite \textit{D. Fishelov} and \textit{J. P. Croisille}, J. Comput. Appl. Math. 429, Article ID 115229, 14 p. (2023; Zbl 07732725) Full Text: DOI
Zhang, Wei; Zhang, Jialing Existence of solutions for biharmonic equations on conical singular manifolds. (English) Zbl 1520.58007 J. Geom. Anal. 33, No. 10, Paper No. 340, 24 p. (2023). MSC: 58E20 35J30 35J40 35J35 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{J. Zhang}, J. Geom. Anal. 33, No. 10, Paper No. 340, 24 p. (2023; Zbl 1520.58007) Full Text: DOI
Compaan, E.; Tzirakis, N. Low regularity well-posedness for dispersive equations on semi-infinite intervals. (English) Zbl 1522.35463 Commun. Pure Appl. Anal. 22, No. 8, 2481-2500 (2023). MSC: 35Q55 35Q41 35B65 35A01 35A02 31A30 76W05 PDFBibTeX XMLCite \textit{E. Compaan} and \textit{N. Tzirakis}, Commun. Pure Appl. Anal. 22, No. 8, 2481--2500 (2023; Zbl 1522.35463) Full Text: DOI
Daners, Daniel; Glück, Jochen; Mui, Jonathan Local uniform convergence and eventual positivity of solutions to biharmonic heat equations. (English) Zbl 07729563 Differ. Integral Equ. 36, No. 9-10, 727-756 (2023). Reviewer: Marius Ghergu (Dublin) MSC: 35K30 35B40 PDFBibTeX XMLCite \textit{D. Daners} et al., Differ. Integral Equ. 36, No. 9--10, 727--756 (2023; Zbl 07729563) Full Text: DOI arXiv
Chen, Zhijie; Cheng, Zetao; Zhao, Hanqing Asymptotic behavior of least energy nodal solutions for biharmonic Lane-Emden problems in dimension four. (English) Zbl 1520.35087 Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 205, 32 p. (2023). MSC: 35J91 35J40 35B40 PDFBibTeX XMLCite \textit{Z. Chen} et al., Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 205, 32 p. (2023; Zbl 1520.35087) Full Text: DOI arXiv
Li, Hengguang; Yin, Peimeng; Zhang, Zhimin A \(C^0\) finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain. (English) Zbl 07726049 IMA J. Numer. Anal. 43, No. 3, 1779-1801 (2023). MSC: 65Nxx PDFBibTeX XMLCite \textit{H. Li} et al., IMA J. Numer. Anal. 43, No. 3, 1779--1801 (2023; Zbl 07726049) Full Text: DOI arXiv
Bouzenada, A.; Boumali, A.; Serdouk, F. Thermal properties of the 2D Klein-Gordon oscillator in a cosmic string space-time. (English. Russian original) Zbl 07723453 Theor. Math. Phys. 216, No. 1, 1055-1067 (2023); translation from Teor. Mat. Fiz. 216, No. 1, 169-183 (2023). MSC: 81Q05 32A37 83F05 83E30 80A10 78A30 31A30 03E02 81P17 PDFBibTeX XMLCite \textit{A. Bouzenada} et al., Theor. Math. Phys. 216, No. 1, 1055--1067 (2023; Zbl 07723453); translation from Teor. Mat. Fiz. 216, No. 1, 169--183 (2023) Full Text: DOI
Zhang, Mengyuan; Liu, Zhiqing; Zhang, Xinli Well-posedness and asymptotic behavior for the dissipative \(p\)-biharmonic wave equation with logarithmic nonlinearity and damping terms. (English) Zbl 1519.35216 Comput. Math. Math. Phys. 63, No. 6, 1103-1121 (2023). MSC: 35L77 35B40 35L35 PDFBibTeX XMLCite \textit{M. Zhang} et al., Comput. Math. Math. Phys. 63, No. 6, 1103--1121 (2023; Zbl 1519.35216) Full Text: DOI
Sogn, Jarle; Takacs, Stefan Multigrid solvers for isogeometric discretizations of the second biharmonic problem. (English) Zbl 1521.31006 Math. Models Methods Appl. Sci. 33, No. 9, 1803-1828 (2023). MSC: 31A30 31B30 35J50 65N55 PDFBibTeX XMLCite \textit{J. Sogn} and \textit{S. Takacs}, Math. Models Methods Appl. Sci. 33, No. 9, 1803--1828 (2023; Zbl 1521.31006) Full Text: DOI arXiv
Liu, Zhiqing; Fang, Zhong Bo Well-posedness and asymptotic behavior for a pseudo-parabolic equation involving \(p\)-biharmonic operator and logarithmic nonlinearity. (English) Zbl 1519.35030 Taiwanese J. Math. 27, No. 3, 487-523 (2023). MSC: 35B40 35K35 35K70 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{Z. B. Fang}, Taiwanese J. Math. 27, No. 3, 487--523 (2023; Zbl 1519.35030) Full Text: DOI
Gryshchuk, S. V.; Plaksa, S. A. Biharmonic problem for an angle and monogenic functions. (English. Ukrainian original) Zbl 1521.31005 Ukr. Math. J. 74, No. 11, 1686-1700 (2023); translation from Ukr. Mat. Zh. 74, No. 11, 1478-1491 (2022). MSC: 31A30 35J40 30G35 PDFBibTeX XMLCite \textit{S. V. Gryshchuk} and \textit{S. A. Plaksa}, Ukr. Math. J. 74, No. 11, 1686--1700 (2023; Zbl 1521.31005); translation from Ukr. Mat. Zh. 74, No. 11, 1478--1491 (2022) Full Text: DOI
Khaleghi, Ali; Razani, Abdolrahman Solutions to a \((p(x),q(x))\)-biharmonic elliptic problem on a bounded domain. (English) Zbl 1519.35105 Bound. Value Probl. 2023, Paper No. 53, 12 p. (2023). MSC: 35J40 35A01 35A15 PDFBibTeX XMLCite \textit{A. Khaleghi} and \textit{A. Razani}, Bound. Value Probl. 2023, Paper No. 53, 12 p. (2023; Zbl 1519.35105) Full Text: DOI
Li, Dan; Wang, Chunmei; Wang, Junping Generalized weak Galerkin finite element methods for biharmonic equations. (English) Zbl 1517.65116 J. Comput. Appl. Math. 434, Article ID 115353, 21 p. (2023). MSC: 65N30 65N12 65N15 35B45 35J50 PDFBibTeX XMLCite \textit{D. Li} et al., J. Comput. Appl. Math. 434, Article ID 115353, 21 p. (2023; Zbl 1517.65116) Full Text: DOI arXiv
Tao, Huo; Li, Lin; Winkert, Patrick Existence and concentration of solutions for a 1-biharmonic Choquard equation with steep potential Well in \(R^N \). (English) Zbl 1522.35198 J. Geom. Anal. 33, No. 9, Paper No. 276, 27 p. (2023). Reviewer: Calogero Vetro (Palermo) MSC: 35J30 35J62 35A15 PDFBibTeX XMLCite \textit{H. Tao} et al., J. Geom. Anal. 33, No. 9, Paper No. 276, 27 p. (2023; Zbl 1522.35198) Full Text: DOI
Feng, Meiqiang; Chen, Haiping Positive solutions for a class of biharmonic equations: existence and uniqueness. (English) Zbl 1519.35102 Appl. Math. Lett. 143, Article ID 108687, 6 p. (2023). MSC: 35J30 35J91 35A01 35A02 PDFBibTeX XMLCite \textit{M. Feng} and \textit{H. Chen}, Appl. Math. Lett. 143, Article ID 108687, 6 p. (2023; Zbl 1519.35102) Full Text: DOI
Dong, Z.; Mascotto, L. \(hp\)-optimal interior penalty discontinuous Galerkin methods for the biharmonic problem. (English) Zbl 07708372 J. Sci. Comput. 96, No. 1, Paper No. 30, 32 p. (2023). MSC: 65N30 65N50 65N12 65N15 31A30 76D07 35Q35 PDFBibTeX XMLCite \textit{Z. Dong} and \textit{L. Mascotto}, J. Sci. Comput. 96, No. 1, Paper No. 30, 32 p. (2023; Zbl 07708372) Full Text: DOI arXiv
Izadjoo, Majid; Akbari, Mojgan The triharmonic equation on the Heisenberg group. (English) Zbl 1521.31013 Georgian Math. J. 30, No. 3, 377-382 (2023). MSC: 31B30 35J40 35R03 PDFBibTeX XMLCite \textit{M. Izadjoo} and \textit{M. Akbari}, Georgian Math. J. 30, No. 3, 377--382 (2023; Zbl 1521.31013) Full Text: DOI
Fu, Hongfei; Zhang, Bingyin; Zheng, Xiangcheng A high-order two-grid difference method for nonlinear time-fractional biharmonic problems and its unconditional \(\alpha\)-robust error estimates. (English) Zbl 07708331 J. Sci. Comput. 96, No. 2, Paper No. 54, 34 p. (2023). MSC: 65-XX 35R11 65M06 65M12 PDFBibTeX XMLCite \textit{H. Fu} et al., J. Sci. Comput. 96, No. 2, Paper No. 54, 34 p. (2023; Zbl 07708331) Full Text: DOI
Hussain, Javed; Fatah, Abdul Semigroup approach to global well-posedness of the biharmonic Newell-Whitehead-Segel equation. (English) Zbl 1524.31001 J. Math. Ext. 17, No. 1, Paper No. 7, 18 p. (2023). MSC: 31A05 47H20 35A01 31A30 PDFBibTeX XMLCite \textit{J. Hussain} and \textit{A. Fatah}, J. Math. Ext. 17, No. 1, Paper No. 7, 18 p. (2023; Zbl 1524.31001) Full Text: DOI
Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S. Kansa-RBF algorithms for elliptic BVPs in annular domains with mixed boundary conditions. (English) Zbl 07700815 Math. Comput. Simul. 206, 77-104 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. A. Jankowska} et al., Math. Comput. Simul. 206, 77--104 (2023; Zbl 07700815) Full Text: DOI
Ma, Ying; Zhang, Teng Error estimates of finite difference methods for the biharmonic nonlinear Schrödinger equation. (English) Zbl 1515.35229 J. Sci. Comput. 95, No. 1, Paper No. 24, 26 p. (2023). MSC: 35Q41 65M06 65M15 PDFBibTeX XMLCite \textit{Y. Ma} and \textit{T. Zhang}, J. Sci. Comput. 95, No. 1, Paper No. 24, 26 p. (2023; Zbl 1515.35229) Full Text: DOI
Li, Qi; Han, Yuzhu; Wang, Tianlong Existence and nonexistence of solutions to a critical biharmonic equation with logarithmic perturbation. (English) Zbl 1518.35286 J. Differ. Equations 365, 1-37 (2023). MSC: 35J30 31B30 35B33 35A01 PDFBibTeX XMLCite \textit{Q. Li} et al., J. Differ. Equations 365, 1--37 (2023; Zbl 1518.35286) Full Text: DOI arXiv
Almeida, Rui M. P.; Duque, José C. M.; Ferreira, Jorge; Panni, Willian S. Mixed finite element method for a beam equation with the \(p(x)\)-biharmonic operator. (English) Zbl 07692016 Comput. Math. Appl. 139, 57-67 (2023). MSC: 35J40 35J35 35J60 35P30 35G30 PDFBibTeX XMLCite \textit{R. M. P. Almeida} et al., Comput. Math. Appl. 139, 57--67 (2023; Zbl 07692016) Full Text: DOI arXiv
Luo, Xi; Liu, Ming-Sheng Landau-Bloch type theorems for certain subclasses for polyharmonic mappings. (English) Zbl 1516.31006 Comput. Methods Funct. Theory 23, No. 2, 303-325 (2023). MSC: 31A30 PDFBibTeX XMLCite \textit{X. Luo} and \textit{M.-S. Liu}, Comput. Methods Funct. Theory 23, No. 2, 303--325 (2023; Zbl 1516.31006) Full Text: DOI
Tadi, M.; Radenkovic, M. A unified solution method for linear elliptic Cauchy problems. (English) Zbl 1524.65738 Comput. Appl. Math. 42, No. 3, Paper No. 113, 20 p. (2023). MSC: 65N21 35J05 31A30 78A46 65K10 65J20 65N06 65N80 PDFBibTeX XMLCite \textit{M. Tadi} and \textit{M. Radenkovic}, Comput. Appl. Math. 42, No. 3, Paper No. 113, 20 p. (2023; Zbl 1524.65738) Full Text: DOI
Tsai, Chia-Cheng; Hematiyan, M. R. Degenerate kernels of polyharmonic and poly-Helmholtz operators in polar and spherical coordinates. (English) Zbl 1521.35089 Eng. Anal. Bound. Elem. 148, 137-152 (2023). MSC: 35J05 31A30 PDFBibTeX XMLCite \textit{C.-C. Tsai} and \textit{M. R. Hematiyan}, Eng. Anal. Bound. Elem. 148, 137--152 (2023; Zbl 1521.35089) Full Text: DOI
Kharkevych, Yu. I. Exact values of the approximations of differentiable functions by Poisson-type integrals. (English. Ukrainian original) Zbl 1512.42001 Cybern. Syst. Anal. 59, No. 2, 274-282 (2023); translation from Kibern. Sist. Anal. 59, No. 2, 112-121 (2023). MSC: 42A10 41A30 41A65 45P05 31A30 PDFBibTeX XMLCite \textit{Yu. I. Kharkevych}, Cybern. Syst. Anal. 59, No. 2, 274--282 (2023; Zbl 1512.42001); translation from Kibern. Sist. Anal. 59, No. 2, 112--121 (2023) Full Text: DOI
Carstensen, Carsten; Puttkammer, Sophie Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian. (English) Zbl 1521.65118 SIAM J. Numer. Anal. 61, No. 2, 812-836 (2023). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N25 65N30 65N15 65N12 65D05 65N50 49J35 31A30 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{S. Puttkammer}, SIAM J. Numer. Anal. 61, No. 2, 812--836 (2023; Zbl 1521.65118) Full Text: DOI arXiv
Deng, Shengbing; Yu, Fang Multiple solutions for a singular nonhomogenous biharmonic equation in Heisenberg group. (English) Zbl 1511.58007 Commun. Pure Appl. Anal. 22, No. 2, 488-507 (2023). MSC: 58E20 53C35 PDFBibTeX XMLCite \textit{S. Deng} and \textit{F. Yu}, Commun. Pure Appl. Anal. 22, No. 2, 488--507 (2023; Zbl 1511.58007) Full Text: DOI
An, Jinmyong; Ryu, Pyongjo; Kim, Jinmyong Small data global well-posedness for the inhomogeneous biharmonic NLS in Sobolev spaces. (English) Zbl 1512.35528 Discrete Contin. Dyn. Syst., Ser. B 28, No. 4, 2789-2802 (2023). MSC: 35Q55 35Q41 78A60 35B65 35A01 35A02 31A30 PDFBibTeX XMLCite \textit{J. An} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 4, 2789--2802 (2023; Zbl 1512.35528) Full Text: DOI arXiv
Kosin, V.; Beuchler, S.; Wick, T. A new mixed method for the biharmonic eigenvalue problem. (English) Zbl 07674309 Comput. Math. Appl. 136, 44-53 (2023). MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{V. Kosin} et al., Comput. Math. Appl. 136, 44--53 (2023; Zbl 07674309) Full Text: DOI
Zhao, Jikun; Mao, Shipeng; Zhang, Bei; Wang, Fei The interior penalty virtual element method for the biharmonic problem. (English) Zbl 1511.65132 Math. Comput. 92, No. 342, 1543-1574 (2023). MSC: 65N30 65F35 65N85 65N12 31A30 PDFBibTeX XMLCite \textit{J. Zhao} et al., Math. Comput. 92, No. 342, 1543--1574 (2023; Zbl 1511.65132) Full Text: DOI
Gallistl, Dietmar Mixed methods and lower eigenvalue bounds. (English) Zbl 1514.65160 Math. Comput. 92, No. 342, 1491-1509 (2023). MSC: 65N25 65N30 76D07 31A30 PDFBibTeX XMLCite \textit{D. Gallistl}, Math. Comput. 92, No. 342, 1491--1509 (2023; Zbl 1514.65160) Full Text: DOI
Corfdir, Alain; Bonnet, Guy Degenerate scales for thin elastic plates with Dirichlet boundary conditions. (English) Zbl 1516.31005 Acta Mech. 234, No. 4, 1503-1532 (2023). MSC: 31A30 35J40 PDFBibTeX XMLCite \textit{A. Corfdir} and \textit{G. Bonnet}, Acta Mech. 234, No. 4, 1503--1532 (2023; Zbl 1516.31005) Full Text: DOI
Costa, David G.; de Figueiredo, Djairo G.; Moreira dos Santos, Ederson; Miyagaki, Olimpio Hiroshi Fractional Sobolev spaces of symmetric functions and applications to Hamiltonian elliptic systems. (English) Zbl 1519.46020 Pure Appl. Funct. Anal. 8, No. 1, 171-185 (2023). MSC: 46E35 46E30 31B30 31A30 35J30 35J40 PDFBibTeX XMLCite \textit{D. G. Costa} et al., Pure Appl. Funct. Anal. 8, No. 1, 171--185 (2023; Zbl 1519.46020) Full Text: Link
Karachik, Valeriĭ Valentinovich A solution to the Riquier-Neymann problem for polyharmonic equations in a ball. (Russian. English summary) Zbl 1516.31019 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 15, No. 1, 26-33 (2023). MSC: 31B30 35J40 PDFBibTeX XMLCite \textit{V. V. Karachik}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 15, No. 1, 26--33 (2023; Zbl 1516.31019) Full Text: DOI MNR
Yue, Junhong; Li, Peijun; Yuan, Xiaokai; Zhu, Xiaopeng A diffraction problem for the biharmonic wave equation in one-dimensional periodic structures. (English) Zbl 1509.78003 Results Appl. Math. 17, Article ID 100350, 11 p. (2023). MSC: 78A45 78A40 74J20 74K20 65N30 65N15 78M10 74S05 31A30 35J05 PDFBibTeX XMLCite \textit{J. Yue} et al., Results Appl. Math. 17, Article ID 100350, 11 p. (2023; Zbl 1509.78003) Full Text: DOI
Jiang, Ruiting; Jiao, Meiyan; Zhai, Chengbo Multiple solutions for generalized biharmonic equations with two singular terms. (English) Zbl 1512.35221 Mediterr. J. Math. 20, No. 3, Paper No. 151, 16 p. (2023). MSC: 35J30 31B30 35J61 35A01 PDFBibTeX XMLCite \textit{R. Jiang} et al., Mediterr. J. Math. 20, No. 3, Paper No. 151, 16 p. (2023; Zbl 1512.35221) Full Text: DOI
Voigtlaender, Felix The universal approximation theorem for complex-valued neural networks. (English) Zbl 1528.41050 Appl. Comput. Harmon. Anal. 64, 33-61 (2023). MSC: 41A30 30E10 31A30 41A63 68T07 PDFBibTeX XMLCite \textit{F. Voigtlaender}, Appl. Comput. Harmon. Anal. 64, 33--61 (2023; Zbl 1528.41050) Full Text: DOI arXiv
Zhu, Peng; Xie, Shenglan; Wang, Xiaoshen A stabilizer-free \(C^0\) weak Galerkin method for the biharmonic equations. (English) Zbl 1509.65120 Sci. China, Math. 66, No. 3, 627-646 (2023). MSC: 65N30 65N15 31A30 PDFBibTeX XMLCite \textit{P. Zhu} et al., Sci. China, Math. 66, No. 3, 627--646 (2023; Zbl 1509.65120) Full Text: DOI arXiv
Li, Peijin; Li, Yaxiang; Luo, Qinghong; Ponnusamy, Saminathan On Schwarz-Pick-type inequality and Lipschitz continuity for solutions to nonhomogeneous biharmonic equations. (English) Zbl 1509.31004 Mediterr. J. Math. 20, No. 3, Paper No. 142, 12 p. (2023). MSC: 31A30 35J40 30C62 PDFBibTeX XMLCite \textit{P. Li} et al., Mediterr. J. Math. 20, No. 3, Paper No. 142, 12 p. (2023; Zbl 1509.31004) Full Text: DOI arXiv
Chung, N. T.; Ghanmi, A.; Kenzizi, T. Multiple solutions to \(p\)-biharmonic equations of Kirchhoff type with vanishing potential. (English) Zbl 1509.35124 Numer. Funct. Anal. Optim. 44, No. 3, 202-220 (2023). MSC: 35J30 35A01 35A15 PDFBibTeX XMLCite \textit{N. T. Chung} et al., Numer. Funct. Anal. Optim. 44, No. 3, 202--220 (2023; Zbl 1509.35124) Full Text: DOI