Mayeli, Azita Non-convex optimization via strongly convex majorization-minimization. (English) Zbl 07303604 Can. Math. Bull. 63, No. 4, 726-737 (2020). MSC: 90C26 65R32 PDF BibTeX XML Cite \textit{A. Mayeli}, Can. Math. Bull. 63, No. 4, 726--737 (2020; Zbl 07303604) Full Text: DOI
Xiao, Lu; Geng, Qiuping; Wang, Jun; Zhu, Maochun Existence and stability of standing waves for the Choquard equation with partial confinement. (English) Zbl 1448.35211 Topol. Methods Nonlinear Anal. 55, No. 2, 451-474 (2020). MSC: 35J61 35J20 35Q55 49J40 PDF BibTeX XML Cite \textit{L. Xiao} et al., Topol. Methods Nonlinear Anal. 55, No. 2, 451--474 (2020; Zbl 1448.35211) Full Text: DOI Euclid
Wang, Jiulin; Xia, Yong Closing the gap between necessary and sufficient conditions for local nonglobal minimizer of trust region subproblem. (English) Zbl 07236496 SIAM J. Optim. 30, No. 3, 1980-1995 (2020). MSC: 90C20 90C26 90C30 90C46 PDF BibTeX XML Cite \textit{J. Wang} and \textit{Y. Xia}, SIAM J. Optim. 30, No. 3, 1980--1995 (2020; Zbl 07236496) Full Text: DOI
Taati, Akram; Salahi, Maziar On local non-global minimizers of quadratic optimization problem with a single quadratic constraint. (English) Zbl 07191112 Numer. Funct. Anal. Optim. 41, No. 8, 969-1005 (2020). MSC: 90C20 90C26 PDF BibTeX XML Cite \textit{A. Taati} and \textit{M. Salahi}, Numer. Funct. Anal. Optim. 41, No. 8, 969--1005 (2020; Zbl 07191112) Full Text: DOI
Jukić, Dragan A necessary and sufficient criterion for the existence of the global minima of a continuous lower bounded function on a noncompact set. (English) Zbl 07183954 J. Comput. Appl. Math. 375, Article ID 112791, 7 p. (2020). MSC: 90C26 65K10 62J02 PDF BibTeX XML Cite \textit{D. Jukić}, J. Comput. Appl. Math. 375, Article ID 112791, 7 p. (2020; Zbl 07183954) Full Text: DOI
de Souza, Manassés On the existence of extremals for the weighted Yamabe problem on compact manifolds. (English) Zbl 1440.49050 Differ. Geom. Appl. 68, Article ID 101585, 16 p. (2020). Reviewer: Solmaz Khajehpour (Tehran) MSC: 49Q20 53C21 PDF BibTeX XML Cite \textit{M. de Souza}, Differ. Geom. Appl. 68, Article ID 101585, 16 p. (2020; Zbl 1440.49050) Full Text: DOI
Huang, Yimin; Kong, Xiangshun; Ai, Mingyao Optimal designs in sparse linear models. (English) Zbl 1441.62198 Metrika 83, No. 2, 255-273 (2020). Reviewer: Fabio Rapallo (Alessandria) MSC: 62K05 62J07 PDF BibTeX XML Cite \textit{Y. Huang} et al., Metrika 83, No. 2, 255--273 (2020; Zbl 1441.62198) Full Text: DOI
Li, Xinrong; Xiu, Naihua; Zhou, Shenglong Matrix optimization over low-rank spectral sets: stationary points and local and global minimizers. (English) Zbl 1432.90124 J. Optim. Theory Appl. 184, No. 3, 895-930 (2020). MSC: 90C26 90C30 90C46 PDF BibTeX XML Cite \textit{X. Li} et al., J. Optim. Theory Appl. 184, No. 3, 895--930 (2020; Zbl 1432.90124) Full Text: DOI
Zerouali, Abdellah; Karim, Belhadj; Chakrone, Omar; Boukhsas, Abdelmajid On a positive solution for \((p,q)\)-Laplace equation with nonlinear boundary conditions and indefinite weights. (English) Zbl 1431.35027 Bol. Soc. Parana. Mat. (3) 38, No. 4, 219-233 (2020). MSC: 35J20 35J62 35J70 35P05 PDF BibTeX XML Cite \textit{A. Zerouali} et al., Bol. Soc. Parana. Mat. (3) 38, No. 4, 219--233 (2020; Zbl 1431.35027) Full Text: Link
Kravvaritis, Dimitrios C.; Yannacopoulos, Athanasios N. Variational methods in nonlinear analysis. With applications in optimization and partial differential equations. (English) Zbl 1443.49001 De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-064736-5/pbk; 978-3-11-064738-9/ebook). xxv, 474 p. (2020). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 49-02 47-02 35J20 35J25 35J50 35J57 46A55 47H04 47H05 47H09 47H10 47J20 47J25 47J30 49J35 49J40 49J50 49J52 49J53 49K20 49K35 49N15 49N60 58C30 58E05 58E30 58E35 58J05 58J32 90C25 PDF BibTeX XML Cite \textit{D. C. Kravvaritis} and \textit{A. N. Yannacopoulos}, Variational methods in nonlinear analysis. With applications in optimization and partial differential equations. Berlin: De Gruyter (2020; Zbl 1443.49001) Full Text: DOI
Kang, Kyungkeun; Kim, Hwa Kil; Seo, Geuntaek Cardinality estimation of support of the global minimizer for the interaction energy with mildly repulsive potentials. (English) Zbl 1453.49011 Physica D 399, 51-57 (2019). MSC: 49K20 PDF BibTeX XML Cite \textit{K. Kang} et al., Physica D 399, 51--57 (2019; Zbl 1453.49011) Full Text: DOI
Carrillo, J. A.; Hittmeir, S.; Volzone, B.; Yao, Y. Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics. (English) Zbl 1427.35136 Invent. Math. 218, No. 3, 889-977 (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 35K59 35B07 35B40 49J10 49Q20 82C22 PDF BibTeX XML Cite \textit{J. A. Carrillo} et al., Invent. Math. 218, No. 3, 889--977 (2019; Zbl 1427.35136) Full Text: DOI arXiv
Anicic, Sylvia Existence theorem for a first-order Koiter nonlinear shell model. (English) Zbl 1419.74165 Discrete Contin. Dyn. Syst., Ser. S 12, No. 6, 1535-1545 (2019). MSC: 74K25 74B20 74G65 74G25 49J20 35A01 35Q74 PDF BibTeX XML Cite \textit{S. Anicic}, Discrete Contin. Dyn. Syst., Ser. S 12, No. 6, 1535--1545 (2019; Zbl 1419.74165) Full Text: DOI
Zerouali, A.; Karim, B.; Chakrone, O.; Boukhsas, A. Resonant Steklov eigenvalue problem involving the \((p, q)\)-Laplacian. (English) Zbl 1438.35179 Afr. Mat. 30, No. 1-2, 171-179 (2019). MSC: 35J62 35J20 35J66 35J70 35P05 35P30 PDF BibTeX XML Cite \textit{A. Zerouali} et al., Afr. Mat. 30, No. 1--2, 171--179 (2019; Zbl 1438.35179) Full Text: DOI
Lin, Hongwei; Gao, Yuelin; Wang, Xiaoli; Su, Shoubao A filled function which has the same local minimizer of the objective function. (English) Zbl 1428.90134 Optim. Lett. 13, No. 4, 761-776 (2019). MSC: 90C26 PDF BibTeX XML Cite \textit{H. Lin} et al., Optim. Lett. 13, No. 4, 761--776 (2019; Zbl 1428.90134) Full Text: DOI
Zhang, Xue; Zhang, Xiaoqun A new proximal iterative hard thresholding method with extrapolation for \(\ell _0\) minimization. (English) Zbl 1423.90201 J. Sci. Comput. 79, No. 2, 809-826 (2019). MSC: 90C26 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{X. Zhang}, J. Sci. Comput. 79, No. 2, 809--826 (2019; Zbl 1423.90201) Full Text: DOI
Chen, Yifan; Sun, Yuejiao; Yin, Wotao Run-and-inspect method for nonconvex optimization and global optimality bounds for R-local minimizers. (English) Zbl 1415.90085 Math. Program. 176, No. 1-2 (B), 39-67 (2019). MSC: 90C26 90C30 49M30 65K05 PDF BibTeX XML Cite \textit{Y. Chen} et al., Math. Program. 176, No. 1--2 (B), 39--67 (2019; Zbl 1415.90085) Full Text: DOI arXiv
Bocea, Marian; Mihăilescu, Mihai On the existence and uniqueness of exponentially harmonic maps and some related problems. (English) Zbl 1426.35092 Isr. J. Math. 230, No. 2, 795-812 (2019). Reviewer: Andrei Perjan (Chişinău) MSC: 35J05 46E35 35A01 35A02 PDF BibTeX XML Cite \textit{M. Bocea} and \textit{M. Mihăilescu}, Isr. J. Math. 230, No. 2, 795--812 (2019; Zbl 1426.35092) Full Text: DOI
Carrillo, José A.; Sugiyama, Yoshie Compactly supported stationary states of the degenerate Keller-Segel system in the diffusion-dominated regime. (English) Zbl 1428.35618 Indiana Univ. Math. J. 67, No. 6, 2279-2312 (2018). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 35Q92 92C17 35B06 PDF BibTeX XML Cite \textit{J. A. Carrillo} and \textit{Y. Sugiyama}, Indiana Univ. Math. J. 67, No. 6, 2279--2312 (2018; Zbl 1428.35618) Full Text: DOI
Hsu, Shu-Yu Minimizer of an isoperimetric ratio on a metric on \(\mathbb{R}^2\) with finite total area. (English) Zbl 1404.53082 Bull. Math. Sci. 8, No. 3, 603-617 (2018). MSC: 53C44 53C21 35K55 PDF BibTeX XML Cite \textit{S.-Y. Hsu}, Bull. Math. Sci. 8, No. 3, 603--617 (2018; Zbl 1404.53082) Full Text: DOI
Wang, Hong; Liu, Xin; Chen, Xiaojun; Yuan, Yaxiang SNIG property of matrix low-rank factorization model. (English) Zbl 1413.15024 J. Comput. Math. 36, No. 3, 374-390 (2018). MSC: 15A23 90C26 PDF BibTeX XML Cite \textit{H. Wang} et al., J. Comput. Math. 36, No. 3, 374--390 (2018; Zbl 1413.15024) Full Text: DOI
Feng, Xue; Wu, Chunlin; Zeng, Chao On the local and global minimizers of \(\ell_0\) gradient regularized model with box constraints for image restoration. (English) Zbl 1397.49021 Inverse Probl. 34, No. 9, Article ID 095007, 34 p. (2018). MSC: 49J52 68U10 94A08 PDF BibTeX XML Cite \textit{X. Feng} et al., Inverse Probl. 34, No. 9, Article ID 095007, 34 p. (2018; Zbl 1397.49021) Full Text: DOI
Anicic, Sylvia Polyconvexity and existence theorem for nonlinearly elastic shells. (English) Zbl 1393.74103 J. Elasticity 132, No. 1, 161-173 (2018). MSC: 74K25 74B20 74G65 74G25 49J20 35A01 35Q74 PDF BibTeX XML Cite \textit{S. Anicic}, J. Elasticity 132, No. 1, 161--173 (2018; Zbl 1393.74103) Full Text: DOI
Lin, Hongwei; Wang, Yuping; Gao, Yuelin; Wang, Xiaoli A filled function method for global optimization with inequality constraints. (English) Zbl 1433.90125 Comput. Appl. Math. 37, No. 2, 1524-1536 (2018). MSC: 90C26 90C56 PDF BibTeX XML Cite \textit{H. Lin} et al., Comput. Appl. Math. 37, No. 2, 1524--1536 (2018; Zbl 1433.90125) Full Text: DOI
Hsia, Yong; Sheu, Ruey-Lin; Yuan, Ya-Xiang Theory and application of \(p\)-regularized subproblems for \(p>2\). (English) Zbl 1379.49022 Optim. Methods Softw. 32, No. 5, 1059-1077 (2017). MSC: 49K30 90C46 90C26 PDF BibTeX XML Cite \textit{Y. Hsia} et al., Optim. Methods Softw. 32, No. 5, 1059--1077 (2017; Zbl 1379.49022) Full Text: DOI
Liu, Yong; Wang, Kelei; Wei, Juncheng Global minimizers of the Allen-Cahn equation in dimension \(n\geq 8\). (English. French summary) Zbl 1380.35071 J. Math. Pures Appl. (9) 108, No. 6, 818-840 (2017). Reviewer: Rodica Luca (Iaşi) MSC: 35J05 35J61 35J20 PDF BibTeX XML Cite \textit{Y. Liu} et al., J. Math. Pures Appl. (9) 108, No. 6, 818--840 (2017; Zbl 1380.35071) Full Text: DOI arXiv
Zhu, Jinghao A feedback optimal control by Hamilton-Jacobi-Bellman equation. (English) Zbl 1373.93391 Eur. J. Control 37, 70-74 (2017). MSC: 93E20 49N35 93C10 PDF BibTeX XML Cite \textit{J. Zhu}, Eur. J. Control 37, 70--74 (2017; Zbl 1373.93391) Full Text: DOI
Martín, Adrián; Schiavi, Emanuele; Segura de León, Sergio On 1-Laplacian elliptic equations modeling magnetic resonance image Rician denoising. (English) Zbl 1379.94006 J. Math. Imaging Vis. 57, No. 2, 202-224 (2017). MSC: 94A08 68U10 35J99 PDF BibTeX XML Cite \textit{A. Martín} et al., J. Math. Imaging Vis. 57, No. 2, 202--224 (2017; Zbl 1379.94006) Full Text: DOI
Xia, Yong; Sheu, Ruey-Lin; Fang, Shu-Cherng; Xing, Wenxun Double well potential function and its optimization in the \(N\)-dimensional real space. II. (English) Zbl 1362.49016 J. Ind. Manag. Optim. 13, No. 3, 1307-1328 (2017). MSC: 49K30 90C46 90C26 PDF BibTeX XML Cite \textit{Y. Xia} et al., J. Ind. Manag. Optim. 13, No. 3, 1307--1328 (2017; Zbl 1362.49016) Full Text: DOI
Bakushinskii, Anatoly B.; Klibanov, Michael V.; Koshev, Nikolaj A. Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs. (English) Zbl 1353.65098 Nonlinear Anal., Real World Appl. 34, 201-224 (2017). MSC: 65M32 65M30 35K59 35R25 35R30 PDF BibTeX XML Cite \textit{A. B. Bakushinskii} et al., Nonlinear Anal., Real World Appl. 34, 201--224 (2017; Zbl 1353.65098) Full Text: DOI arXiv
El-Gindy, T. M.; Salim, M. S.; Ahmed, A. I. A new filled function method applied to unconstrained global optimization. (English) Zbl 1410.90165 Appl. Math. Comput. 273, 1246-1256 (2016). MSC: 90C26 90C56 PDF BibTeX XML Cite \textit{T. M. El-Gindy} et al., Appl. Math. Comput. 273, 1246--1256 (2016; Zbl 1410.90165) Full Text: DOI
Yuan, Liuyang; Jia, Shihui Two new classes of filled functions. (Chinese. English summary) Zbl 1363.90201 J. Syst. Sci. Math. Sci. 36, No. 6, 872-883 (2016). MSC: 90C26 90C30 65K10 PDF BibTeX XML Cite \textit{L. Yuan} and \textit{S. Jia}, J. Syst. Sci. Math. Sci. 36, No. 6, 872--883 (2016; Zbl 1363.90201)
He, Lan; Han, Boshun; Yang, Yongjian New definition of filled function applied to global optimization. (Chinese. English summary) Zbl 1363.90193 Commun. Appl. Math. Comput. 30, No. 1, 128-137 (2016). MSC: 90C26 90C30 65K10 PDF BibTeX XML Cite \textit{L. He} et al., Commun. Appl. Math. Comput. 30, No. 1, 128--137 (2016; Zbl 1363.90193) Full Text: DOI
Madeira, Gustavo Ferron Nonlinear Fredholm alternative for the \(p\)-Laplacian under nonhomogeneous Neumann boundary condition. (English) Zbl 1345.35044 Electron. J. Differ. Equ. 2016, Paper No. 210, 7 p. (2016). MSC: 35J66 47J30 49N10 35J92 PDF BibTeX XML Cite \textit{G. F. Madeira}, Electron. J. Differ. Equ. 2016, Paper No. 210, 7 p. (2016; Zbl 1345.35044) Full Text: EMIS
Yuan, Liu-yang; Wan, Zhong-ping; Tang, Qiu-hua; Zheng, Yue A class of parameter-free filled functions for box-constrained system of nonlinear equations. (English) Zbl 1338.65166 Acta Math. Appl. Sin., Engl. Ser. 32, No. 2, 355-364 (2016). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{L.-y. Yuan} et al., Acta Math. Appl. Sin., Engl. Ser. 32, No. 2, 355--364 (2016; Zbl 1338.65166) Full Text: DOI
Motreanu, Dumitru; Tanaka, Mieko On a positive solution for \((p,q)\)-Laplace equation with indefinite weight. (English) Zbl 1334.35069 Minimax Theory Appl. 1, No. 1, 1-20 (2016). MSC: 35J92 35J20 35P30 35B09 PDF BibTeX XML Cite \textit{D. Motreanu} and \textit{M. Tanaka}, Minimax Theory Appl. 1, No. 1, 1--20 (2016; Zbl 1334.35069) Full Text: Link
Yuan, Liuyang; Wan, Zhongping; Tang, Qiuhua A criterion for an approximation global optimal solution based on the filled functions. (English) Zbl 1317.90287 J. Ind. Manag. Optim. 12, No. 1, 375-387 (2016). MSC: 90C30 90C33 PDF BibTeX XML Cite \textit{L. Yuan} et al., J. Ind. Manag. Optim. 12, No. 1, 375--387 (2016; Zbl 1317.90287) Full Text: DOI
Gao, Yuelin; Yang, Yongjian; You, Mi A new filled function method for global optimization. (English) Zbl 1410.90166 Appl. Math. Comput. 268, 685-695 (2015). MSC: 90C26 65K05 PDF BibTeX XML Cite \textit{Y. Gao} et al., Appl. Math. Comput. 268, 685--695 (2015; Zbl 1410.90166) Full Text: DOI
Lemenant, Antoine A rigidity result for global Mumford-Shah minimizers in dimension three. (English. French summary) Zbl 1406.49053 J. Math. Pures Appl. (9) 103, No. 4, 1003-1023 (2015). MSC: 49Q20 35A15 35B08 35B44 PDF BibTeX XML Cite \textit{A. Lemenant}, J. Math. Pures Appl. (9) 103, No. 4, 1003--1023 (2015; Zbl 1406.49053) Full Text: DOI
Jiao, Yuling; Jin, Bangti; Lu, Xiliang A primal dual active set with continuation algorithm for the \(\ell^0\)-regularized optimization problem. (English) Zbl 1329.49042 Appl. Comput. Harmon. Anal. 39, No. 3, 400-426 (2015). MSC: 49M05 90C26 94A08 PDF BibTeX XML Cite \textit{Y. Jiao} et al., Appl. Comput. Harmon. Anal. 39, No. 3, 400--426 (2015; Zbl 1329.49042) Full Text: DOI arXiv
Soubies, Emmanuel; Blanc-Féraud, Laure; Aubert, Gilles A continuous exact \(\ell_0\) penalty (CEL0) for least squares regularized problem. (English) Zbl 1325.65086 SIAM J. Imaging Sci. 8, No. 3, 1607-1639 (2015). MSC: 65K05 90C26 90C55 PDF BibTeX XML Cite \textit{E. Soubies} et al., SIAM J. Imaging Sci. 8, No. 3, 1607--1639 (2015; Zbl 1325.65086) Full Text: DOI
Shang, You-Lin; Sun, Zhen-Yang; Jiang, Xiang-Yi Modified filled function method for global discrete optimization. (English) Zbl 1327.90247 Gao, David (ed.) et al., Advances in global optimization. Selected papers based on the presentations at the 3rd world congress on global optimization in engineering and science, WCGO, Anhui, China, July 8–12, 2013. Cham: Springer (ISBN 978-3-319-08376-6/hbk; 978-3-319-08377-3/ebook). Springer Proceedings in Mathematics & Statistics 95, 57-68 (2015). MSC: 90C26 90C10 PDF BibTeX XML Cite \textit{Y.-L. Shang} et al., in: Advances in global optimization. Selected papers based on the presentations at the 3rd world congress on global optimization in engineering and science, WCGO, Anhui, China, July 8--12, 2013. Cham: Springer. 57--68 (2015; Zbl 1327.90247) Full Text: DOI
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano Nonlocal diffusion equations. (English) Zbl 1332.35195 J. Math. Anal. Appl. 432, No. 1, 398-428 (2015). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K92 35K65 35A15 35A01 35A02 PDF BibTeX XML Cite \textit{V. Bögelein} et al., J. Math. Anal. Appl. 432, No. 1, 398--428 (2015; Zbl 1332.35195) Full Text: DOI
Huang, Xiao-Lin; Shi, Lei; Yan, Ming Nonconvex sorted \(\ell_1\) minimization for sparse approximation. (English) Zbl 1319.49050 J. Oper. Res. Soc. China 3, No. 2, 207-229 (2015). MSC: 49M37 65K10 90C26 90C52 PDF BibTeX XML Cite \textit{X.-L. Huang} et al., J. Oper. Res. Soc. China 3, No. 2, 207--229 (2015; Zbl 1319.49050) Full Text: DOI arXiv
Schröder, Jan Philipp Global minimizers for Tonelli Lagrangians on the 2-torus. (English) Zbl 1379.37115 J. Topol. Anal. 7, No. 2, 261-291 (2015). Reviewer: Andrew Bucki (Edmond) MSC: 37J50 53C22 70G75 PDF BibTeX XML Cite \textit{J. P. Schröder}, J. Topol. Anal. 7, No. 2, 261--291 (2015; Zbl 1379.37115) Full Text: DOI
Ndiaye, Cheikh Birahim; Schätzle, Reiner Michael Explicit conformally constrained Willmore minimizers in arbitrary codimension. (English) Zbl 1302.53012 Calc. Var. Partial Differ. Equ. 51, No. 1-2, 291-314 (2014). Reviewer: Huili Liu (Shenyang) MSC: 53A10 53A30 53C21 PDF BibTeX XML Cite \textit{C. B. Ndiaye} and \textit{R. M. Schätzle}, Calc. Var. Partial Differ. Equ. 51, No. 1--2, 291--314 (2014; Zbl 1302.53012) Full Text: DOI
Lin, Hongwei; Gao, Yuelin; Wang, Yuping A continuously differentiable filled function method for global optimization. (English) Zbl 1296.65089 Numer. Algorithms 66, No. 3, 511-523 (2014). MSC: 65K05 90C26 PDF BibTeX XML Cite \textit{H. Lin} et al., Numer. Algorithms 66, No. 3, 511--523 (2014; Zbl 1296.65089) Full Text: DOI
da Luz, Adriana; Maderna, Ezequiel On the free time minimizers of the Newtonian \(N\)-body problem. (English) Zbl 1331.70035 Math. Proc. Camb. Philos. Soc. 156, No. 2, 209-227 (2014). MSC: 70F10 49K05 58E30 70H08 PDF BibTeX XML Cite \textit{A. da Luz} and \textit{E. Maderna}, Math. Proc. Camb. Philos. Soc. 156, No. 2, 209--227 (2014; Zbl 1331.70035) Full Text: DOI arXiv
Nie, Jianjun; Wu, Xian; Zhu, Minfang Existence and multiplicity of non-trivial solutions for a class of modified Schrödinger equation with non-coercive potential. (English) Zbl 1334.35321 Appl. Math. Comput. 225, 677-694 (2013). MSC: 35Q55 35A01 35J60 PDF BibTeX XML Cite \textit{J. Nie} et al., Appl. Math. Comput. 225, 677--694 (2013; Zbl 1334.35321) Full Text: DOI
Lin, Hongwei; Wang, Yuping; Fan, Lei; Gao, Yuelin A new discrete filled function method for finding global minimizer of the integer programming. (English) Zbl 1401.90127 Appl. Math. Comput. 219, No. 9, 4371-4378 (2013). MSC: 90C10 PDF BibTeX XML Cite \textit{H. Lin} et al., Appl. Math. Comput. 219, No. 9, 4371--4378 (2013; Zbl 1401.90127) Full Text: DOI
Li, Zhonghao; Zhang, Liansheng; Yang, Yongjian A filled function method for inequality constrained global optimization. (Chinese. English summary) Zbl 1313.90181 Period. Ocean Univ. China 43, No. 11, 117-120 (2013). MSC: 90C26 90C30 PDF BibTeX XML Cite \textit{Z. Li} et al., Period. Ocean Univ. China 43, No. 11, 117--120 (2013; Zbl 1313.90181)
Wang, Rufeng; Shang, Youlin A new filled function of continuous unconstrained optimization problems. (Chinese. English summary) Zbl 1289.90209 J. Henan Univ. Sci. Technol., Nat. Sci. 34, No. 1, 76-79 (2013). MSC: 90C30 65K10 PDF BibTeX XML Cite \textit{R. Wang} and \textit{Y. Shang}, J. Henan Univ. Sci. Technol., Nat. Sci. 34, No. 1, 76--79 (2013; Zbl 1289.90209)
Fan, Yingying; Lv, Jinchi Asymptotic equivalence of regularization methods in thresholded parameter space. (English) Zbl 06224986 J. Am. Stat. Assoc. 108, No. 503, 1044-1061 (2013). MSC: 62 PDF BibTeX XML Cite \textit{Y. Fan} and \textit{J. Lv}, J. Am. Stat. Assoc. 108, No. 503, 1044--1061 (2013; Zbl 06224986) Full Text: DOI arXiv
Cho, Yonggeun; Ozawa, Tohru A note on the existence of a ground state solution to a fractional Schrödinger equation. (English) Zbl 1272.49007 Kyushu J. Math. 67, No. 1, 227-236 (2013). MSC: 49J20 81Q05 PDF BibTeX XML Cite \textit{Y. Cho} and \textit{T. Ozawa}, Kyushu J. Math. 67, No. 1, 227--236 (2013; Zbl 1272.49007) Full Text: DOI
Hiriart-Urruty, Jean-Baptiste When only global optimization matters. (English) Zbl 1275.90063 J. Glob. Optim. 56, No. 3, 761-763 (2013). MSC: 90C26 PDF BibTeX XML Cite \textit{J.-B. Hiriart-Urruty}, J. Glob. Optim. 56, No. 3, 761--763 (2013; Zbl 1275.90063) Full Text: DOI
Burago, Dmitri; Ivanov, Sergei Area minimizers and boundary rigidity of almost hyperbolic metrics. (English) Zbl 1271.53044 Duke Math. J. 162, No. 7, 1205-1248 (2013). Reviewer: Isabel Salavessa (Lisboa) MSC: 53C24 53C65 53C20 PDF BibTeX XML Cite \textit{D. Burago} and \textit{S. Ivanov}, Duke Math. J. 162, No. 7, 1205--1248 (2013; Zbl 1271.53044) Full Text: DOI Euclid arXiv
DeTurck, Dennis; Gluck, Herman; Storm, Peter Lipschitz minimality of Hopf fibrations and Hopf vector fields. (English) Zbl 1268.53054 Algebr. Geom. Topol. 13, No. 3, 1369-1412 (2013). MSC: 53C23 53C30 55R10 55R25 57R22 57R25 57R35 53C38 53C43 PDF BibTeX XML Cite \textit{D. DeTurck} et al., Algebr. Geom. Topol. 13, No. 3, 1369--1412 (2013; Zbl 1268.53054) Full Text: DOI arXiv
Gong, Jasun; Hajłasz, Piotr Differentiability of \(p\)-harmonic functions on metric measure spaces. (English) Zbl 1257.49010 Potential Anal. 38, No. 1, 79-93 (2013). MSC: 49J40 30L99 35J60 53C23 PDF BibTeX XML Cite \textit{J. Gong} and \textit{P. Hajłasz}, Potential Anal. 38, No. 1, 79--93 (2013; Zbl 1257.49010) Full Text: DOI
Lin, Youjiang; Yang, Yongjian A new filled function method for constrained nonlinear equations. (English) Zbl 1309.90081 Appl. Math. Comput. 219, No. 6, 3100-3112 (2012). MSC: 90C26 65K05 65H10 PDF BibTeX XML Cite \textit{Y. Lin} and \textit{Y. Yang}, Appl. Math. Comput. 219, No. 6, 3100--3112 (2012; Zbl 1309.90081) Full Text: DOI
Wang, Wei-Xiang; Shang, You-Lin; Zhang, Ying Finding global minima with a novel filled function for non-smooth unconstrained optimisation. (English) Zbl 1307.49001 Int. J. Syst. Sci. 43, No. 4, 707-714 (2012). MSC: 49J05 49M30 PDF BibTeX XML Cite \textit{W.-X. Wang} et al., Int. J. Syst. Sci. 43, No. 4, 707--714 (2012; Zbl 1307.49001) Full Text: DOI
Shang, Youlin; Huang, Zhiyong; Xu, Cuixia A parameter-free transformation function algorithm for continuously unconstrained global optimization. (Chinese. English summary) Zbl 1289.90158 J. Henan Univ. Sci. Technol., Nat. Sci. 33, No. 5, 88-92 (2012). MSC: 90C26 65K10 PDF BibTeX XML Cite \textit{Y. Shang} et al., J. Henan Univ. Sci. Technol., Nat. Sci. 33, No. 5, 88--92 (2012; Zbl 1289.90158)
Yao, Yirong; An, Liu; Chen, Xi; Zheng, Quan Existence and optimality of accessible and approximatable global minimizers. (English) Zbl 1265.49005 Oper. Res. Trans. 16, No. 2, 32-40 (2012). MSC: 49J35 49K35 PDF BibTeX XML Cite \textit{Y. Yao} et al., Oper. Res. Trans. 16, No. 2, 32--40 (2012; Zbl 1265.49005)
Huang, Tiren; Yang, Xiaoping Extremals in some classes of Carnot groups. (English) Zbl 1276.53040 Sci. China, Math. 55, No. 3, 633-646 (2012). MSC: 53C17 53C22 PDF BibTeX XML Cite \textit{T. Huang} and \textit{X. Yang}, Sci. China, Math. 55, No. 3, 633--646 (2012; Zbl 1276.53040) Full Text: DOI
Gasiński, Leszek; Papageorgiou, Nikolaos S. Multiple solutions for asymptotically \((p-1)\)-homogeneous \(p\)-Laplacian equations. (English) Zbl 1238.35029 J. Funct. Anal. 262, No. 5, 2403-2435 (2012). Reviewer: Jiaqi Mo (Wuhu) MSC: 35J60 35J92 35A02 PDF BibTeX XML Cite \textit{L. Gasiński} and \textit{N. S. Papageorgiou}, J. Funct. Anal. 262, No. 5, 2403--2435 (2012; Zbl 1238.35029) Full Text: DOI
Phu, H. X.; Pho, V. M. Some properties of boundedly perturbed strictly convex quadratic functions. (English) Zbl 1261.90034 Optimization 61, No. 1-3, 67-88 (2012). MSC: 90C20 90C31 47H14 49K40 90C26 90C46 PDF BibTeX XML Cite \textit{H. X. Phu} and \textit{V. M. Pho}, Optimization 61, No. 1--3, 67--88 (2012; Zbl 1261.90034) Full Text: DOI
He, Suxiang; Chen, Weilai A filled function algorithm for unconstrained global optimization problems. (Chinese. English summary) Zbl 1265.90274 J. Zhejiang Univ., Sci. Ed. 38, No. 2, 144-149 (2011). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{S. He} and \textit{W. Chen}, J. Zhejiang Univ., Sci. Ed. 38, No. 2, 144--149 (2011; Zbl 1265.90274) Full Text: DOI
Wang, Qilin; Li, Shengjie Generalized higher-order cone-directed derivatives and applications to set-valued optimization. (Chinese. English summary) Zbl 1249.90208 Acta Math. Sci., Ser. A, Chin. Ed. 31, No. 4, 902-909 (2011). MSC: 90C26 90C46 PDF BibTeX XML Cite \textit{Q. Wang} and \textit{S. Li}, Acta Math. Sci., Ser. A, Chin. Ed. 31, No. 4, 902--909 (2011; Zbl 1249.90208)
Gao, Changliang; Yang, Yongjian; Han, Boshun A new class of filled functions with one parameter for global optimization. (English) Zbl 1231.65109 Comput. Math. Appl. 62, No. 6, 2393-2403 (2011). MSC: 65K10 90C26 PDF BibTeX XML Cite \textit{C. Gao} et al., Comput. Math. Appl. 62, No. 6, 2393--2403 (2011; Zbl 1231.65109) Full Text: DOI
Ciarlet, Philippe G.; Gogu, Radu; Mardare, Cristinel A notion of polyconvex function on a surface suggested by nonlinear shell theory. (English. French summary) Zbl 1385.74010 C. R., Math., Acad. Sci. Paris 349, No. 21-22, 1207-1211 (2011). MSC: 74K25 74G25 35Q74 PDF BibTeX XML Cite \textit{P. G. Ciarlet} et al., C. R., Math., Acad. Sci. Paris 349, No. 21--22, 1207--1211 (2011; Zbl 1385.74010) Full Text: DOI
Lin, Youjiang; Yang, Yongjian A filled function method for box constrained nonlinear integer programming. (English) Zbl 1226.90044 J. Korean Math. Soc. 48, No. 5, 985-999 (2011). MSC: 90C10 90C26 PDF BibTeX XML Cite \textit{Y. Lin} and \textit{Y. Yang}, J. Korean Math. Soc. 48, No. 5, 985--999 (2011; Zbl 1226.90044) Full Text: DOI
Antczak, Tadeusz Characterization of vector strict global minimizers of order 2 in differentiable vector optimization problems under a new approximation method. (English) Zbl 1243.90175 J. Comput. Appl. Math. 235, No. 17, 4991-5000 (2011). MSC: 90C26 90C29 90C30 PDF BibTeX XML Cite \textit{T. Antczak}, J. Comput. Appl. Math. 235, No. 17, 4991--5000 (2011; Zbl 1243.90175) Full Text: DOI
Yang, Yongjian; Bai, Fusheng An integral function and vector sequence method for unconstrained global optimization. (English) Zbl 1220.90101 J. Glob. Optim. 50, No. 2, 293-311 (2011). MSC: 90C26 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{F. Bai}, J. Glob. Optim. 50, No. 2, 293--311 (2011; Zbl 1220.90101) Full Text: DOI
He, Suxiang; Chen, Weilai; Wang, Hui A new filled function algorithm for constrained global optimization problems. (English) Zbl 1210.65110 Appl. Math. Comput. 217, No. 12, 5853-5859 (2011). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C26 PDF BibTeX XML Cite \textit{S. He} et al., Appl. Math. Comput. 217, No. 12, 5853--5859 (2011; Zbl 1210.65110) Full Text: DOI
Wang, Chengjun; Luo, Ronghua; Wu, Kun; Han, Boshun A new filled function method for an unconstrained nonlinear equation. (English) Zbl 1213.65077 J. Comput. Appl. Math. 235, No. 6, 1689-1699 (2011). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65H10 65K05 90C30 PDF BibTeX XML Cite \textit{C. Wang} et al., J. Comput. Appl. Math. 235, No. 6, 1689--1699 (2011; Zbl 1213.65077) Full Text: DOI
Yang, Huayun; Yang, Yongjian A one-parameter filled function theory and an algorithm for nonlinear integer programming. (An one-parameter filled function theory and algorithm for nonlinear integer programming.) (English) Zbl 1240.90291 OR Trans. 14, No. 1, 37-45 (2010). MSC: 90C10 90C30 65K05 PDF BibTeX XML Cite \textit{H. Yang} and \textit{Y. Yang}, OR Trans. 14, No. 1, 37--45 (2010; Zbl 1240.90291)
Zhang, Ying; Zhang, Liansheng; Xu, Yingtao A one-parameter filled function for nonsmooth global optimization and its application. (English) Zbl 1222.90045 J. Syst. Sci. Complex. 23, No. 6, 1195-1209 (2010). MSC: 90C26 PDF BibTeX XML Cite \textit{Y. Zhang} et al., J. Syst. Sci. Complex. 23, No. 6, 1195--1209 (2010; Zbl 1222.90045) Full Text: DOI
Elsakov, S. M.; Shiryaev, V. I. Homogeneous algorithms for multiextremal optimization. (Russian, English) Zbl 1224.90152 Zh. Vychisl. Mat. Mat. Fiz. 50, No. 10, 1727-1740 (2010); translation in Comput. Math., Math. Phys. 50, No. 10, 1642-1654 (2010). MSC: 90C29 65K10 PDF BibTeX XML Cite \textit{S. M. Elsakov} and \textit{V. I. Shiryaev}, Zh. Vychisl. Mat. Mat. Fiz. 50, No. 10, 1727--1740 (2010; Zbl 1224.90152); translation in Comput. Math., Math. Phys. 50, No. 10, 1642--1654 (2010) Full Text: DOI Link
Zhang, L.; Zhu, X.; Liang, Y.; Liu, B. A filled function method with one parameter for inequality constrained global optimization. (English) Zbl 1210.37075 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 17, No. 5, 751-767 (2010). Reviewer: Marian Matłoka (Poznań) MSC: 37N40 PDF BibTeX XML Cite \textit{L. Zhang} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 17, No. 5, 751--767 (2010; Zbl 1210.37075) Full Text: Link
Lin, Youjiang; Yang, Yongjian; Zhang, Liansheng A novel filled function method for global optimization. (English) Zbl 1213.90203 J. Korean Math. Soc. 47, No. 6, 1253-1267 (2010). Reviewer: Samir Kumar Neogy (New Delhi) MSC: 90C26 90C30 PDF BibTeX XML Cite \textit{Y. Lin} et al., J. Korean Math. Soc. 47, No. 6, 1253--1267 (2010; Zbl 1213.90203) Full Text: DOI Link
Phu, Hoang Xuan; Pho, Vo Minh Global infimum of strictly convex quadratic functions with bounded perturbations. (English) Zbl 1204.52001 Math. Methods Oper. Res. 72, No. 2, 327-345 (2010). Reviewer: Rita Pini (Milano) MSC: 52A01 52A41 47H14 90C20 90C26 PDF BibTeX XML Cite \textit{H. X. Phu} and \textit{V. M. Pho}, Math. Methods Oper. Res. 72, No. 2, 327--345 (2010; Zbl 1204.52001) Full Text: DOI
Takáč, Peter Variational methods and linearization tools towards the spectral analysis of the \(p\)-Laplacian, especially for the Fredholm alternative. (English) Zbl 1198.35171 Electron. J. Differ. Equ. 2010, Conf. 18, 67-105 (2010). MSC: 35P30 35J20 49J35 35J70 35J75 PDF BibTeX XML Cite \textit{P. Takáč}, Electron. J. Differ. Equ. 2010, 67--105 (2010; Zbl 1198.35171) Full Text: EMIS EuDML
Lin, Youjiang; Yang, Yongjian Filled function method for nonlinear equations. (English) Zbl 1190.65085 J. Comput. Appl. Math. 234, No. 3, 695-702 (2010). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65H10 90C26 90C30 PDF BibTeX XML Cite \textit{Y. Lin} and \textit{Y. Yang}, J. Comput. Appl. Math. 234, No. 3, 695--702 (2010; Zbl 1190.65085) Full Text: DOI
Ma, Suzhen; Yang, Yongjian; Liu, Huaqun A parameter free filled function for unconstrained global optimization. (English) Zbl 1192.65081 Appl. Math. Comput. 215, No. 10, 3610-3619 (2010). Reviewer: Berwin A. Turlach (Crawley) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{S. Ma} et al., Appl. Math. Comput. 215, No. 10, 3610--3619 (2010; Zbl 1192.65081) Full Text: DOI
Xu, Cuixia; Shang, Youlin A convex filled function method for nonlinear integer programming. (Chinese. English summary) Zbl 1224.90126 J. Henan Univ. Sci. Technol., Nat. Sci. 30, No. 4, 83-86 (2009). MSC: 90C10 90C30 PDF BibTeX XML Cite \textit{C. Xu} and \textit{Y. Shang}, J. Henan Univ. Sci. Technol., Nat. Sci. 30, No. 4, 83--86 (2009; Zbl 1224.90126)
Yuan, Cuicui; Ma, Yuhong A new filled function with one parameter. (Chinese. English summary) Zbl 1212.90369 J. Northwest Norm. Univ., Nat. Sci. 45, No. 3, 22-25 (2009). MSC: 90C30 PDF BibTeX XML Cite \textit{C. Yuan} and \textit{Y. Ma}, J. Northwest Norm. Univ., Nat. Sci. 45, No. 3, 22--25 (2009; Zbl 1212.90369)
Wang, Weixiang; Wang, Jieming A modified transformation function method for global optimization. (Chinese. English summary) Zbl 1212.65235 J. Shanghai Second Polytech. Univ. 26, No. 3, 214-217 (2009). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{W. Wang} and \textit{J. Wang}, J. Shanghai Second Polytech. Univ. 26, No. 3, 214--217 (2009; Zbl 1212.65235)
Zhang, Ying; Xu, Ying-Tao A one-parameter filled function method applied to nonsmooth constrained global optimization. (English) Zbl 1189.90128 Comput. Math. Appl. 58, No. 6, 1230-1238 (2009). MSC: 90C26 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{Y.-T. Xu}, Comput. Math. Appl. 58, No. 6, 1230--1238 (2009; Zbl 1189.90128) Full Text: DOI
Zhang, Ying; Zhang, Liansheng; Xu, Yingtao New filled functions for nonsmooth global optimization. (English) Zbl 1205.90236 Appl. Math. Modelling 33, No. 7, 3114-3129 (2009). MSC: 90C26 90C56 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Appl. Math. Modelling 33, No. 7, 3114--3129 (2009; Zbl 1205.90236) Full Text: DOI
Hainzl, Christian; Seiringer, Robert A linear criterion for solutions of non-linear equations, with application to the BCS gap equation. (English) Zbl 1186.49002 Briet, Philippe (ed.) et al., Spectral and scattering theory for quantum magnetic systems. Proceedings of the conference, CIRM, Luminy, Marseilles, France, July 7–11, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4744-2/pbk). Contemporary Mathematics 500, 101-104 (2009). MSC: 49J27 49J40 35Q55 81Q10 82D50 46N50 PDF BibTeX XML Cite \textit{C. Hainzl} and \textit{R. Seiringer}, Contemp. Math. 500, 101--104 (2009; Zbl 1186.49002)
Lin, Youjiang; Yang, Yongjian; Mammadov, M. A new filled function method for nonlinear equations. (English) Zbl 1166.65340 Appl. Math. Comput. 210, No. 2, 411-421 (2009). MSC: 65H10 65K05 90C30 PDF BibTeX XML Cite \textit{Y. Lin} et al., Appl. Math. Comput. 210, No. 2, 411--421 (2009; Zbl 1166.65340) Full Text: DOI
Almog, Yaniv; Berlyand, Leonid; Golovaty, Dmitry; Shafrir, Itai Global minimizers for a \(p\)-Ginzburg-Landau-type energy in \(\mathbb R^2\). (English) Zbl 1160.49003 J. Funct. Anal. 256, No. 7, 2268-2290 (2009). MSC: 49J20 35J20 PDF BibTeX XML Cite \textit{Y. Almog} et al., J. Funct. Anal. 256, No. 7, 2268--2290 (2009; Zbl 1160.49003) Full Text: DOI
Wang, Chengjun; Yang, Yongjian; Li, Jing A new filled function method for unconstrained global optimization. (English) Zbl 1162.65033 J. Comput. Appl. Math. 225, No. 1, 68-79 (2009). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C26 PDF BibTeX XML Cite \textit{C. Wang} et al., J. Comput. Appl. Math. 225, No. 1, 68--79 (2009; Zbl 1162.65033) Full Text: DOI
Wang, Weixiang; Shang, Youlin; Zhang, Liansheng A filled function method with one parameter for constrained global optimization. (English) Zbl 1174.90830 Chin. J. Eng. Math. 25, No. 5, 795-803 (2008). MSC: 90C30 PDF BibTeX XML Cite \textit{W. Wang} et al., Chin. J. Eng. Math. 25, No. 5, 795--803 (2008; Zbl 1174.90830)
Chu, Danhua; Cao, Dexin; Wu, Jianbo A modified filled function method for solving the global solutions of the nonsmooth optimization problem. (Chinese. English summary) Zbl 1174.65023 J. Nanjing Univ., Math. Biq. 25, No. 1, 122-130 (2008). MSC: 65K10 49J52 PDF BibTeX XML Cite \textit{D. Chu} et al., J. Nanjing Univ., Math. Biq. 25, No. 1, 122--130 (2008; Zbl 1174.65023)
Liu, Yong; Shang, You-lin Modified filled function method for resolving nonlinear integer programming problem. (English) Zbl 1155.90435 Huang, De-Shuang (ed.) et al., Advanced intelligent computing theories and applications. With aspects of contemporary intelligent computing techniques. 4th international conference on intelligent computing, ICIC 2008 Shanghai, China, September 15–18, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-85929-1/pbk). Communications in Computer and Information Science 15, 549-556 (2008). MSC: 90C10 90C30 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{Y.-l. Shang}, Commun. Comput. Inf. Sci. 15, 549--556 (2008; Zbl 1155.90435) Full Text: DOI
Phu, Hoang Xuan Outer \(\Gamma \)-convexity in vector spaces. (English) Zbl 1149.52002 Numer. Funct. Anal. Optim. 29, No. 7-8, 835-854 (2008). MSC: 52A01 52A30 52A41 49K27 90C26 PDF BibTeX XML Cite \textit{H. X. Phu}, Numer. Funct. Anal. Optim. 29, No. 7--8, 835--854 (2008; Zbl 1149.52002) Full Text: DOI
Shang, You-Lin; Zhang, Lian-Sheng Finding discrete global minima with a filled function for integer programming. (English) Zbl 1152.90541 Eur. J. Oper. Res. 189, No. 1, 31-40 (2008). MSC: 90C10 PDF BibTeX XML Cite \textit{Y.-L. Shang} and \textit{L.-S. Zhang}, Eur. J. Oper. Res. 189, No. 1, 31--40 (2008; Zbl 1152.90541) Full Text: DOI
Huang, Zheng-Hai; Miao, Xin-He; Wang, Ping A revised cut-peak function method for box constrained continuous global optimization. (English) Zbl 1193.90173 Appl. Math. Comput. 194, No. 1, 224-233 (2007). MSC: 90C26 PDF BibTeX XML Cite \textit{Z.-H. Huang} et al., Appl. Math. Comput. 194, No. 1, 224--233 (2007; Zbl 1193.90173) Full Text: DOI
Wang, Weixiang; Shang, Youlin; Zhang, Liansheng A filled function method with one parameter for box constrained global optimization. (English) Zbl 1193.90175 Appl. Math. Comput. 194, No. 1, 54-66 (2007). MSC: 90C26 PDF BibTeX XML Cite \textit{W. Wang} et al., Appl. Math. Comput. 194, No. 1, 54--66 (2007; Zbl 1193.90175) Full Text: DOI
Shang, You-Lin; Pu, Ding-Guo; Jiang, Ai-Ping Finding global minimizer with one-parameter filled function on unconstrained global optimization. (English) Zbl 1193.90174 Appl. Math. Comput. 191, No. 1, 176-182 (2007). MSC: 90C26 65K10 PDF BibTeX XML Cite \textit{Y.-L. Shang} et al., Appl. Math. Comput. 191, No. 1, 176--182 (2007; Zbl 1193.90174) Full Text: DOI