Han, Weimin; Sofonea, Mircea Numerical analysis of a general elliptic variational-hemivariational inequality. (English) Zbl 1516.65049 J. Nonlinear Var. Anal. 6, No. 5, 517-534 (2022). MSC: 65K15 PDFBibTeX XMLCite \textit{W. Han} and \textit{M. Sofonea}, J. Nonlinear Var. Anal. 6, No. 5, 517--534 (2022; Zbl 1516.65049) Full Text: DOI
Chen, Tao; Hu, Rong; Sofonea, Mircea Analysis and control of an electro-elastic contact problem. (English) Zbl 07601685 Math. Mech. Solids 27, No. 5, 813-827 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{T. Chen} et al., Math. Mech. Solids 27, No. 5, 813--827 (2022; Zbl 07601685) Full Text: DOI
Lu, Liang; Li, Lijie; Sofonea, Mircea A generalized penalty method for differential variational-hemivariational inequalities. (English) Zbl 1516.47112 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 1, 247-264 (2022). MSC: 47J25 49J40 49J45 74K10 74M15 PDFBibTeX XMLCite \textit{L. Lu} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 1, 247--264 (2022; Zbl 1516.47112) Full Text: DOI
Chen, Tao; Sofonea, Mircea A history-dependent inclusion with applications in contact mechanics. (English) Zbl 07548146 Numer. Funct. Anal. Optim. 43, No. 5, 497-521 (2022). MSC: 47J22 49J40 49J21 74M15 74M10 34G25 PDFBibTeX XMLCite \textit{T. Chen} and \textit{M. Sofonea}, Numer. Funct. Anal. Optim. 43, No. 5, 497--521 (2022; Zbl 07548146) Full Text: DOI
Chen, Tao; Huang, Nan-Jing; Sofonea, Mircea A differential variational inequality in the study of contact problems with wear. (English) Zbl 1491.74075 Nonlinear Anal., Real World Appl. 67, Article ID 103619, 19 p. (2022). MSC: 74M15 74M10 74H20 74H25 35Q74 49J40 49J20 PDFBibTeX XMLCite \textit{T. Chen} et al., Nonlinear Anal., Real World Appl. 67, Article ID 103619, 19 p. (2022; Zbl 1491.74075) Full Text: DOI
Sofonea, Mircea Tykhonov well-posedness of fixed point problems in contact mechanics. (English) Zbl 07525640 Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 11, 25 p. (2022). MSC: 47H10 47J40 47B37 74M15 74G55 PDFBibTeX XMLCite \textit{M. Sofonea}, Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 11, 25 p. (2022; Zbl 07525640) Full Text: DOI
Sofonea, Mircea; Tarzia, Domingo A. Tykhonov well-posedness of a heat transfer problem with unilateral constraints. (English) Zbl 07511500 Appl. Math., Praha 67, No. 2, 167-197 (2022). MSC: 49J40 49J20 49J52 49J45 35A16 35M86 PDFBibTeX XMLCite \textit{M. Sofonea} and \textit{D. A. Tarzia}, Appl. Math., Praha 67, No. 2, 167--197 (2022; Zbl 07511500) Full Text: DOI arXiv
Cai, Dong-ling; Sofonea, Mircea; Xiao, Yi-bin Tykhonov well-posedness of a mixed variational problem. (English) Zbl 07507026 Optimization 71, No. 3, 561-581 (2022). MSC: 47J20 35J88 49J40 74M15 74G25 PDFBibTeX XMLCite \textit{D.-l. Cai} et al., Optimization 71, No. 3, 561--581 (2022; Zbl 07507026) Full Text: DOI
Cen, Jinxia; Min, Chao; Sofonea, Mircea; Zeng, Shengda Generalized well-posedness results for a class of hemivariational inequalities. (English) Zbl 1479.49020 J. Math. Anal. Appl. 507, No. 2, Article ID 125839, 23 p. (2022). MSC: 49J40 49J27 PDFBibTeX XMLCite \textit{J. Cen} et al., J. Math. Anal. Appl. 507, No. 2, Article ID 125839, 23 p. (2022; Zbl 1479.49020) Full Text: DOI
Sofonea, Mircea; Han, Weimin Minimization arguments in analysis of variational-hemivariational inequalities. (English) Zbl 1477.49019 Z. Angew. Math. Phys. 73, No. 1, Paper No. 6, 18 p. (2022). MSC: 49J40 47J20 35M86 35J87 74M10 74M15 49J27 PDFBibTeX XMLCite \textit{M. Sofonea} and \textit{W. Han}, Z. Angew. Math. Phys. 73, No. 1, Paper No. 6, 18 p. (2022; Zbl 1477.49019) Full Text: DOI
Sofonea, Mircea Analysis and control of stationary inclusions in contact mechanics. (English) Zbl 1483.35259 Nonlinear Anal., Real World Appl. 61, Article ID 103335, 20 p. (2021). MSC: 35Q74 35A15 35B45 49J40 74M15 74M05 74D99 35A01 35A02 PDFBibTeX XMLCite \textit{M. Sofonea}, Nonlinear Anal., Real World Appl. 61, Article ID 103335, 20 p. (2021; Zbl 1483.35259) Full Text: DOI
Sofonea, Mircea; Xiao, Yi-bin; Zeng, Sheng-da Generalized penalty method for history-dependent variational-hemivariational inequalities. (English) Zbl 1480.49015 Nonlinear Anal., Real World Appl. 61, Article ID 103329, 20 p. (2021). MSC: 49J40 35R35 35J86 35J87 74K10 49J27 PDFBibTeX XMLCite \textit{M. Sofonea} et al., Nonlinear Anal., Real World Appl. 61, Article ID 103329, 20 p. (2021; Zbl 1480.49015) Full Text: DOI
Hu, Rong; Sofonea, Mircea; Xiao, Yi-Bin Tykhonov triples and convergence results for hemivariational inequalities. (English) Zbl 1466.49006 Nonlinear Anal., Model. Control 26, No. 2, 271-292 (2021). MSC: 49J40 49J27 49J45 PDFBibTeX XMLCite \textit{R. Hu} et al., Nonlinear Anal., Model. Control 26, No. 2, 271--292 (2021; Zbl 1466.49006) Full Text: DOI
Xiao, Yi-bin; Sofonea, Mircea Generalized penalty method for elliptic variational-hemivariational inequalities. (English) Zbl 1461.49013 Appl. Math. Optim. 83, No. 2, 789-812 (2021). MSC: 49J40 49J45 47J20 74M10 74M15 PDFBibTeX XMLCite \textit{Y.-b. Xiao} and \textit{M. Sofonea}, Appl. Math. Optim. 83, No. 2, 789--812 (2021; Zbl 1461.49013) Full Text: DOI
Sofonea, Mircea; Bollati, Julieta; Tarzia, Domingo A. Optimal control of differential quasivariational inequalities with applications in contact mechanics. (English) Zbl 1471.49008 J. Math. Anal. Appl. 493, No. 2, Article ID 124567, 23 p. (2021). Reviewer: Leszek Gasiński (Kraków) MSC: 49J40 49J45 PDFBibTeX XMLCite \textit{M. Sofonea} et al., J. Math. Anal. Appl. 493, No. 2, Article ID 124567, 23 p. (2021; Zbl 1471.49008) Full Text: DOI arXiv
Cai, Dong-ling; Sofonea, Mircea; Xiao, Yi-bin Convergence results for elliptic variational-hemivariational inequalities. (English) Zbl 1506.47097 Adv. Nonlinear Anal. 10, 2-23 (2021). Reviewer: Yisheng Song (Hong Kong) MSC: 47J20 49J40 49J45 35M86 74M10 74M15 PDFBibTeX XMLCite \textit{D.-l. Cai} et al., Adv. Nonlinear Anal. 10, 2--23 (2021; Zbl 1506.47097) Full Text: DOI
Sofonea, Mircea; Matei, Andaluzia Convergence and optimization results for a history-dependent variational problem. (English) Zbl 1525.47127 Acta Appl. Math. 169, 157-182 (2020). MSC: 47J35 35M86 35M87 49J40 74M15 74M10 PDFBibTeX XMLCite \textit{M. Sofonea} and \textit{A. Matei}, Acta Appl. Math. 169, 157--182 (2020; Zbl 1525.47127) Full Text: DOI arXiv
Sofonea, Mircea; Tarzia, Domingo A. On the Tykhonov well-posedness of an antiplane shear problem. (English) Zbl 1447.74037 Mediterr. J. Math. 17, No. 5, Paper No. 150, 21 p. (2020). MSC: 74M15 74M10 74G22 74G30 49J40 PDFBibTeX XMLCite \textit{M. Sofonea} and \textit{D. A. Tarzia}, Mediterr. J. Math. 17, No. 5, Paper No. 150, 21 p. (2020; Zbl 1447.74037) Full Text: DOI arXiv
Sofonea, Mircea; Tarzia, Domingo A. Convergence results for optimal control problems governed by elliptic quasivariational inequalities. (English) Zbl 1512.49009 Numer. Funct. Anal. Optim. 41, No. 11, 1326-1351 (2020). MSC: 49J27 49J40 49K20 74M15 74M10 PDFBibTeX XMLCite \textit{M. Sofonea} and \textit{D. A. Tarzia}, Numer. Funct. Anal. Optim. 41, No. 11, 1326--1351 (2020; Zbl 1512.49009) Full Text: DOI arXiv
Hu, Rong; Sofonea, Mircea; Xiao, Yi-bin A Tykhonov-type well-posedness concept for elliptic hemivariational inequalities. (English) Zbl 1444.35079 Z. Angew. Math. Phys. 71, No. 4, Paper No. 120, 17 p. (2020). MSC: 35J87 35M86 47J40 49J52 74K10 74M15 PDFBibTeX XMLCite \textit{R. Hu} et al., Z. Angew. Math. Phys. 71, No. 4, Paper No. 120, 17 p. (2020; Zbl 1444.35079) Full Text: DOI
Matei, Andaluzia; Sofonea, Mircea Solvability and optimization for a class of mixed variational problems. (English) Zbl 1440.35114 Optimization 69, No. 5, 1097-1116 (2020). MSC: 35J60 49K27 74M10 74M15 PDFBibTeX XMLCite \textit{A. Matei} and \textit{M. Sofonea}, Optimization 69, No. 5, 1097--1116 (2020; Zbl 1440.35114) Full Text: DOI arXiv
Sofonea, Mircea; Xiao, Yi-bin Boundary optimal control of a nonsmooth frictionless contact problem. (English) Zbl 1442.74143 Comput. Math. Appl. 78, No. 1, 152-165 (2019). MSC: 74M15 49K20 PDFBibTeX XMLCite \textit{M. Sofonea} and \textit{Y.-b. Xiao}, Comput. Math. Appl. 78, No. 1, 152--165 (2019; Zbl 1442.74143) Full Text: DOI
Sofonea, Mircea Optimal control of quasivariational inequalities with applications to contact mechanics. (English) Zbl 1447.35319 Dutta, Hemen (ed.) et al., Current trends in mathematical analysis and its interdisciplinary applications. Cham: Birkhäuser. 445-489 (2019). Reviewer: Kaïs Ammari (Monastir) MSC: 35Q74 74M10 74B20 35Q93 93C20 35D30 35J86 35A01 35A02 PDFBibTeX XMLCite \textit{M. Sofonea}, in: Current trends in mathematical analysis and its interdisciplinary applications. Cham: Birkhäuser. 445--489 (2019; Zbl 1447.35319) Full Text: DOI
Sofonea, Mircea; Xiao, Yi-bin; Couderc, Maxime Optimization problems for a viscoelastic frictional contact problem with unilateral constraints. (English) Zbl 1457.74154 Nonlinear Anal., Real World Appl. 50, 86-103 (2019). MSC: 74M15 74M10 74P10 74D05 35Q74 PDFBibTeX XMLCite \textit{M. Sofonea} et al., Nonlinear Anal., Real World Appl. 50, 86--103 (2019; Zbl 1457.74154) Full Text: DOI
Sofonea, Mircea; Matei, Andaluzia; Xiao, Yi-bin Optimal control for a class of mixed variational problems. (English) Zbl 07114624 Z. Angew. Math. Phys. 70, No. 4, Paper No. 127, 17 p. (2019). MSC: 47J20 49J20 49J53 74M10 74M15 PDFBibTeX XMLCite \textit{M. Sofonea} et al., Z. Angew. Math. Phys. 70, No. 4, Paper No. 127, 17 p. (2019; Zbl 07114624) Full Text: DOI
Han, Weimin; Sofonea, Mircea Numerical analysis of hemivariational inequalities in contact mechanics. (English) Zbl 1433.65296 Acta Numerica 28, 175-286 (2019). MSC: 65N30 35Q74 74F15 74S05 65M60 65M06 65M12 65M15 35A01 35A02 74D10 PDFBibTeX XMLCite \textit{W. Han} and \textit{M. Sofonea}, Acta Numerica 28, 175--286 (2019; Zbl 1433.65296) Full Text: DOI
Han, Weimin; Sofonea, Mircea Convergence analysis of penalty based numerical methods for constrained inequality problems. (English) Zbl 1419.65109 Numer. Math. 142, No. 4, 917-940 (2019). MSC: 65N30 65N15 74M10 74M15 35Q74 PDFBibTeX XMLCite \textit{W. Han} and \textit{M. Sofonea}, Numer. Math. 142, No. 4, 917--940 (2019; Zbl 1419.65109) Full Text: DOI arXiv
Han, Weimin; Migórski, Stanisław; Sofonea, Mircea On penalty method for unilateral contact problem with non-monotone contact condition. (English) Zbl 1419.65108 J. Comput. Appl. Math. 356, 293-301 (2019). MSC: 65N30 65N15 65N12 74M10 74M15 PDFBibTeX XMLCite \textit{W. Han} et al., J. Comput. Appl. Math. 356, 293--301 (2019; Zbl 1419.65108) Full Text: DOI
Couderc, Maxime; Sofonea, Mircea An elastic frictional contact problem with unilateral constraint. (English) Zbl 1404.74117 Mediterr. J. Math. 15, No. 5, Paper No. 195, 18 p. (2018). MSC: 74M10 74M15 49J40 49J45 49J20 74P10 PDFBibTeX XMLCite \textit{M. Couderc} and \textit{M. Sofonea}, Mediterr. J. Math. 15, No. 5, Paper No. 195, 18 p. (2018; Zbl 1404.74117) Full Text: DOI
Migórski, Stanisław; Ochal, Anna; Shillor, Meir; Sofonea, Mircea Nonsmooth dynamic frictional contact of a thermoviscoelastic body. (English) Zbl 06891689 Appl. Anal. 97, No. 8, 1228-1245 (2018). MSC: 47J20 74H20 47J22 49J40 74M15 74M10 35L85 35K85 PDFBibTeX XMLCite \textit{S. Migórski} et al., Appl. Anal. 97, No. 8, 1228--1245 (2018; Zbl 06891689) Full Text: DOI
Sofonea, Mircea; Pătrulescu, Flavius; Ramadan, Ahmad A mixed variational formulation of a contact problem with wear. (English) Zbl 1380.74089 Acta Appl. Math. 153, No. 1, 125-146 (2018). MSC: 74M15 74G25 74G30 49J40 PDFBibTeX XMLCite \textit{M. Sofonea} et al., Acta Appl. Math. 153, No. 1, 125--146 (2018; Zbl 1380.74089) Full Text: DOI
Barboteu, Mikaël; Danan, David; Sofonea, Mircea Analysis of a contact problem with normal damped response and unilateral constraint. (English) Zbl 07775031 ZAMM, Z. Angew. Math. Mech. 96, No. 4, 408-428 (2016). MSC: 74Mxx 74Sxx 49Jxx PDFBibTeX XMLCite \textit{M. Barboteu} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 4, 408--428 (2016; Zbl 07775031) Full Text: DOI
Barboteu, Mikael; Han, Weimin; Sofonea, Mircea Numerical solution of a contact problem with unilateral constraint and history-dependent penetration. (English) Zbl 1358.74055 J. Eng. Math. 97, 177-194 (2016). MSC: 74S05 74M15 65M60 74C10 PDFBibTeX XMLCite \textit{M. Barboteu} et al., J. Eng. Math. 97, 177--194 (2016; Zbl 1358.74055) Full Text: DOI
Sofonea, Mircea; Souleiman, Yahyeh A viscoelastic sliding contact problem with normal compliance, unilateral constraint and memory term. (English) Zbl 1353.74059 Mediterr. J. Math. 13, No. 5, 2863-2886 (2016). MSC: 74M15 74G25 74G30 74S05 49J40 PDFBibTeX XMLCite \textit{M. Sofonea} and \textit{Y. Souleiman}, Mediterr. J. Math. 13, No. 5, 2863--2886 (2016; Zbl 1353.74059) Full Text: DOI
Sofonea, Mircea; Pătrulescu, Flavius; Souleiman, Yahyeh Analysis of a contact problem with wear and unilateral constraint. (English) Zbl 1349.74281 Appl. Anal. 95, No. 11, 2590-2607 (2016). MSC: 74M15 74G25 74G30 49J40 PDFBibTeX XMLCite \textit{M. Sofonea} et al., Appl. Anal. 95, No. 11, 2590--2607 (2016; Zbl 1349.74281) Full Text: DOI
Kalita, Piotr; Migórski, Stanisław; Sofonea, Mircea A class of subdifferential inclusions for elastic unilateral contact problems. (English) Zbl 06584642 Set-Valued Var. Anal. 24, No. 2, 355-379 (2016). MSC: 47J20 47J22 74M10 74M15 74G25 PDFBibTeX XMLCite \textit{P. Kalita} et al., Set-Valued Var. Anal. 24, No. 2, 355--379 (2016; Zbl 06584642) Full Text: DOI
Sofonea, Mircea; Danan, David; Zheng, Cong Primal and dual variational formulation of a frictional contact problem. (English) Zbl 1335.74048 Mediterr. J. Math. 13, No. 2, 857-872 (2016). MSC: 74M15 74G25 74G30 49J40 PDFBibTeX XMLCite \textit{M. Sofonea} et al., Mediterr. J. Math. 13, No. 2, 857--872 (2016; Zbl 1335.74048) Full Text: DOI
Sofonea, Mircea; Matei, Andaluzia A mixed variational problem with applications in contact mechanics. (English) Zbl 1331.49012 Z. Angew. Math. Phys. 66, No. 6, 3573-3589 (2015). MSC: 49J40 35M86 35M87 74M15 PDFBibTeX XMLCite \textit{M. Sofonea} and \textit{A. Matei}, Z. Angew. Math. Phys. 66, No. 6, 3573--3589 (2015; Zbl 1331.49012) Full Text: DOI
Sofonea, Mircea; Matei, Andaluzia History-dependent mixed variational problems in contact mechanics. (English) Zbl 1325.35219 J. Glob. Optim. 61, No. 3, 591-614 (2015). Reviewer: Marin I. Marin (Braşov) MSC: 35Q74 35M86 35M87 49J40 74M15 74G25 35D30 74D99 PDFBibTeX XMLCite \textit{M. Sofonea} and \textit{A. Matei}, J. Glob. Optim. 61, No. 3, 591--614 (2015; Zbl 1325.35219) Full Text: DOI
Sofonea, Mircea; Pătrulescu, Flavius A viscoelastic contact problem with adhesion and surface memory effects. (English) Zbl 1488.74113 Math. Model. Anal. 19, No. 5, 607-626 (2014). MSC: 74M15 74G30 74D05 49J40 74G22 PDFBibTeX XMLCite \textit{M. Sofonea} and \textit{F. Pătrulescu}, Math. Model. Anal. 19, No. 5, 607--626 (2014; Zbl 1488.74113) Full Text: DOI
Cheng, Xiaoliang; Migórski, Stanisław; Ochal, Anna; Sofonea, Mircea Analysis of two quasistatic history-dependent contact models. (English) Zbl 1310.74035 Discrete Contin. Dyn. Syst., Ser. B 19, No. 8, 2425-2445 (2014). MSC: 74M15 74M10 74G25 74G30 74C10 49J40 47J20 35Q74 35J86 PDFBibTeX XMLCite \textit{X. Cheng} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 8, 2425--2445 (2014; Zbl 1310.74035) Full Text: DOI