Adhikari, Dhruba R.; Stachura, Eric Eigenvalue problems for \(p\)-div-curl systems. (English) Zbl 1519.35180 J. Math. Anal. Appl. 526, No. 2, Article ID 127327, 33 p. (2023). MSC: 35J92 35P30 35A01 PDFBibTeX XMLCite \textit{D. R. Adhikari} and \textit{E. Stachura}, J. Math. Anal. Appl. 526, No. 2, Article ID 127327, 33 p. (2023; Zbl 1519.35180) Full Text: DOI
Hensel, Maurice; Yousept, Irwin Eddy current approximation in Maxwell obstacle problems. (English) Zbl 1519.35310 Interfaces Free Bound. 25, No. 1, 1-36 (2023). Reviewer: Eric Stachura (Marietta) MSC: 35Q60 78A30 35B45 35A01 35A02 35L85 78M10 78M20 65M60 65M06 65N30 41A25 PDFBibTeX XMLCite \textit{M. Hensel} and \textit{I. Yousept}, Interfaces Free Bound. 25, No. 1, 1--36 (2023; Zbl 1519.35310) Full Text: DOI
Aramaki, Junichi Equivalent relations with the J. L. Lions lemma in a variable exponent Sobolev space and their applications. (English) Zbl 1524.35004 J. Math. Study 55, No. 3, 281-305 (2022). MSC: 35A01 35D30 35J62 35Q61 35A15 PDFBibTeX XMLCite \textit{J. Aramaki}, J. Math. Study 55, No. 3, 281--305 (2022; Zbl 1524.35004) Full Text: DOI
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. Optimal control and directional differentiability for elliptic quasi-variational inequalities. (English) Zbl 07563231 Set-Valued Var. Anal. 30, No. 3, 873-922 (2022). MSC: 47J20 49J21 49J40 49K21 46G05 PDFBibTeX XMLCite \textit{A. Alphonse} et al., Set-Valued Var. Anal. 30, No. 3, 873--922 (2022; Zbl 07563231) Full Text: DOI arXiv
Azevedo, A.; Rodrigues, J. F.; Santos, L. Lagrange multipliers for evolution problems with constraints on the derivatives. (English) Zbl 1464.49005 St. Petersbg. Math. J. 32, No. 3, 435-448 (2021) and Algebra Anal. 32, No. 3, 65-83 (2020). MSC: 49J40 49S05 PDFBibTeX XMLCite \textit{A. Azevedo} et al., St. Petersbg. Math. J. 32, No. 3, 435--448 (2021; Zbl 1464.49005) Full Text: DOI
Aramaki, Junichi Existence of a solution to a stationary quasi-variational inequality in a multi-connected domain. (English) Zbl 1456.35004 J. Convex Anal. 28, No. 1, 237-250 (2021). MSC: 35A15 35J20 35J87 35H30 35D30 35Q60 PDFBibTeX XMLCite \textit{J. Aramaki}, J. Convex Anal. 28, No. 1, 237--250 (2021; Zbl 1456.35004) Full Text: Link
Aramaki, J. On the de Rham theorem and an application to the Maxwell-Stokes type problem. (English) Zbl 1458.35397 J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 6, 356-364 (2020) and Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 6, 23-36 (2020). MSC: 35Q60 35A01 35D30 35Q35 35J20 58A12 PDFBibTeX XMLCite \textit{J. Aramaki}, J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 6, 356--364 (2020; Zbl 1458.35397) Full Text: DOI
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. Stability of the solution set of quasi-variational inequalities and optimal control. (English) Zbl 1516.49004 SIAM J. Control Optim. 58, No. 6, 3508-3532 (2020). MSC: 49J40 49J53 49M15 65J15 65K10 PDFBibTeX XMLCite \textit{A. Alphonse} et al., SIAM J. Control Optim. 58, No. 6, 3508--3532 (2020; Zbl 1516.49004) Full Text: DOI arXiv
Chen, Jun Minimizers of curl prescribed full trace. (English) Zbl 1463.35473 Appl. Math., Ser. B (Engl. Ed.) 35, No. 2, 157-165 (2020). MSC: 35Q60 35J50 35J57 PDFBibTeX XMLCite \textit{J. Chen}, Appl. Math., Ser. B (Engl. Ed.) 35, No. 2, 157--165 (2020; Zbl 1463.35473) Full Text: DOI
Yousept, Irwin Hyperbolic Maxwell variational inequalities of the second kind. (English) Zbl 1446.35079 ESAIM, Control Optim. Calc. Var. 26, Paper No. 34, 23 p. (2020). MSC: 35L85 35Q60 35B65 35Q61 PDFBibTeX XMLCite \textit{I. Yousept}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 34, 23 p. (2020; Zbl 1446.35079) Full Text: DOI Link
Wan, Andy T. S.; Laforest, Marc A posteriori error estimation for the \(p\)-curl problem. (English) Zbl 1469.65150 SIAM J. Numer. Anal. 58, No. 1, 460-491 (2020). Reviewer: Eric Chung (Hong Kong) MSC: 65M60 35K65 65M15 78M10 82D55 65M22 PDFBibTeX XMLCite \textit{A. T. S. Wan} and \textit{M. Laforest}, SIAM J. Numer. Anal. 58, No. 1, 460--491 (2020; Zbl 1469.65150) Full Text: DOI arXiv
Miranda, Fernando; Rodrigues, José Francisco; Santos, Lisa Evolutionary quasi-variational and variational inequalities with constraints on the derivatives. (English) Zbl 1417.35233 Adv. Nonlinear Anal. 9, 250-277 (2020). MSC: 35R35 35K87 35K92 47J20 49J40 PDFBibTeX XMLCite \textit{F. Miranda} et al., Adv. Nonlinear Anal. 9, 250--277 (2020; Zbl 1417.35233) Full Text: DOI arXiv
Rodrigues, José Francisco; Santos, Lisa Variational and quasi-variational inequalities with gradient type constraints. (English) Zbl 1442.49012 Hintermüller, Michael (ed.) et al., Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO’17, Lisbon, Portugal, December 6–8, 2017. Cham: Springer. CIM Ser. Math. Sci, 319-361 (2019). Reviewer: Liya Liu (Chengdu) MSC: 49J40 35R35 35J92 35J87 35J88 35K92 35K86 35K87 35L86 47J20 47J35 47N50 74H20 78M30 80M30 82D55 49S05 PDFBibTeX XMLCite \textit{J. F. Rodrigues} and \textit{L. Santos}, in: Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO'17, Lisbon, Portugal, December 6--8, 2017. Cham: Springer. 319--361 (2019; Zbl 1442.49012) Full Text: DOI arXiv
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. Recent trends and views on elliptic quasi-variational inequalities. (English) Zbl 1448.49013 Hintermüller, Michael (ed.) et al., Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO’17, Lisbon, Portugal, December 6–8, 2017. Cham: Springer. CIM Ser. Math. Sci, 1-31 (2019). Reviewer: Alfred Göpfert (Leipzig) MSC: 49J40 49J53 49K40 47H10 PDFBibTeX XMLCite \textit{A. Alphonse} et al., in: Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO'17, Lisbon, Portugal, December 6--8, 2017. Cham: Springer. 1--31 (2019; Zbl 1448.49013) Full Text: DOI
Ge, Bin; Gui, Xue-Lin; Lv, De-Jing Existence of two solutions for \(p(x)\)-curl systems with a small perturbation. (English) Zbl 1427.78028 Rocky Mt. J. Math. 49, No. 6, 1877-1894 (2019). MSC: 78M30 35Q60 35J20 35J70 76W05 76A05 78A30 PDFBibTeX XMLCite \textit{B. Ge} et al., Rocky Mt. J. Math. 49, No. 6, 1877--1894 (2019; Zbl 1427.78028) Full Text: DOI Euclid
Rodrigues, José Francisco; Santos, Lisa On nonlocal variational and quasi-variational inequalities with fractional gradient. (English) Zbl 1429.49011 Appl. Math. Optim. 80, No. 3, 835-852 (2019); correction ibid. 84, No. 3, 3565-3567 (2021). MSC: 49J40 35R11 PDFBibTeX XMLCite \textit{J. F. Rodrigues} and \textit{L. Santos}, Appl. Math. Optim. 80, No. 3, 835--852 (2019; Zbl 1429.49011) Full Text: DOI arXiv
Hintermüller, M.; Rautenberg, C. N.; Strogies, N. Dissipative and non-dissipative evolutionary quasi-variational inequalities with gradient constraints. (English) Zbl 1418.35248 Set-Valued Var. Anal. 27, No. 2, 433-468 (2019). MSC: 35K86 47J20 49J40 49M15 65J15 65K10 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., Set-Valued Var. Anal. 27, No. 2, 433--468 (2019; Zbl 1418.35248) Full Text: DOI
Law, Y.-M.; Laforest, M. A nonlinear relaxation formulation of the \(p\)-curl problem modelling high-temperature superconductors: a modified Yee’s scheme. (English) Zbl 1416.78034 J. Comput. Phys. 378, 591-614 (2019). MSC: 78M20 78A25 65M06 65M12 PDFBibTeX XMLCite \textit{Y. M. Law} and \textit{M. Laforest}, J. Comput. Phys. 378, 591--614 (2019; Zbl 1416.78034) Full Text: DOI
Ge, Bin; Lu, Jian-Fang Existence and multiplicity of solutions for \(p(x)\)-curl systems without the Ambrosetti-Rabinowitz condition. (English) Zbl 1414.35050 Mediterr. J. Math. 16, No. 2, Paper No. 45, 17 p. (2019). MSC: 35G30 35J35 35P30 58E05 35B33 PDFBibTeX XMLCite \textit{B. Ge} and \textit{J.-F. Lu}, Mediterr. J. Math. 16, No. 2, Paper No. 45, 17 p. (2019; Zbl 1414.35050) Full Text: DOI
Aramaki, Junichi Variational inequality in a curl constraint problem. (English) Zbl 1454.49011 J. Nonlinear Convex Anal. 19, No. 8, 1409-1425 (2018). MSC: 49J40 47J20 35A15 PDFBibTeX XMLCite \textit{J. Aramaki}, J. Nonlinear Convex Anal. 19, No. 8, 1409--1425 (2018; Zbl 1454.49011) Full Text: Link
Aramaki, Junichi Existence of a solution to a coupled variational problem constraint by a function depending on the solution. (English) Zbl 1433.35032 Int. J. Funct. Anal. Oper. Theory Appl. 10, No. 1, 33-59 (2018). MSC: 35J20 35H30 35D30 35Q60 PDFBibTeX XMLCite \textit{J. Aramaki}, Int. J. Funct. Anal. Oper. Theory Appl. 10, No. 1, 33--59 (2018; Zbl 1433.35032) Full Text: DOI
Aramaki, Junichi Coupled variational problem associated with the bean critical-state model in type II superconductors with thermal effect. (English) Zbl 1427.35265 Adv. Differ. Equ. Control Process. 19, No. 2, 101-126 (2018). MSC: 35Q61 35J65 35J20 35H30 35Q60 PDFBibTeX XMLCite \textit{J. Aramaki}, Adv. Differ. Equ. Control Process. 19, No. 2, 101--126 (2018; Zbl 1427.35265) Full Text: DOI
Aramaki, Junichi Variational problem involving operator curl associated with \(p\)-curl system. (English) Zbl 1424.49003 Turk. J. Math. 42, No. 3, 949-966 (2018). MSC: 49J20 PDFBibTeX XMLCite \textit{J. Aramaki}, Turk. J. Math. 42, No. 3, 949--966 (2018; Zbl 1424.49003) Full Text: DOI
Aramaki, Junichi Existence of weak solution for a class of abstract coupling system associated with stationary electromagnetic system. (English) Zbl 1401.35073 Taiwanese J. Math. 22, No. 3, 741-765 (2018). MSC: 35J60 35A01 PDFBibTeX XMLCite \textit{J. Aramaki}, Taiwanese J. Math. 22, No. 3, 741--765 (2018; Zbl 1401.35073) Full Text: DOI Euclid
Aramaki, Junichi Minimizing the \(L^p\) norm of the curl of vector fields in a multi-connected domain. (English) Zbl 1370.49001 Int. J. Math. 28, No. 1, Article ID 1750004, 12 p. (2017). Reviewer: Aygul Manapova (Ufa) MSC: 49J20 49K10 82D30 53A45 PDFBibTeX XMLCite \textit{J. Aramaki}, Int. J. Math. 28, No. 1, Article ID 1750004, 12 p. (2017; Zbl 1370.49001) Full Text: DOI
Aramaki, Junichi Variational problem involving operator curl in a multiconnected domain. (English) Zbl 1362.49010 Chin. J. Math. (New York) 2016, Article ID 2459694, 8 p. (2016). MSC: 49K10 PDFBibTeX XMLCite \textit{J. Aramaki}, Chin. J. Math. (New York) 2016, Article ID 2459694, 8 p. (2016; Zbl 1362.49010) Full Text: DOI
Rodrigues, J.-F. On the mathematical analysis of thick fluids. (English) Zbl 1334.76004 J. Math. Sci., New York 210, No. 6, 835-848 (2015) and Zap. Nauchn. Semin. POMI 425, 117-136 (2014). MSC: 76A05 PDFBibTeX XMLCite \textit{J. F. Rodrigues}, J. Math. Sci., New York 210, No. 6, 835--848 (2015; Zbl 1334.76004) Full Text: DOI
Antontsev, Stanislav; Miranda, Fernando; Santos, Lisa A class of electromagnetic \(p\)-curl systems: blow-up and finite time extinction. (English) Zbl 1246.35102 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 9, 3916-3929 (2012). Reviewer: Vincent Lescarret (Gif-sur-Yvette) MSC: 35K55 35Q61 35A01 35B44 PDFBibTeX XMLCite \textit{S. Antontsev} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 9, 3916--3929 (2012; Zbl 1246.35102) Full Text: DOI Link