Kenmochi, Nobuyuki; Shirakawa, Ken; Yamazaki, Noriaki Second order doubly nonlinear evolution inclusions: quasi-variational approach. (English) Zbl 07836659 Discrete Contin. Dyn. Syst., Ser. S 17, No. 1, 304-325 (2024). MSC: 47J35 34G20 47H05 47H14 × Cite Format Result Cite Review PDF Full Text: DOI
Kubo, Masahiro; Yamazaki, Noriaki Periodic solutions to a class of quasi-variational evolution equations. (English) Zbl 07788940 J. Differ. Equations 384, 165-192 (2024). MSC: 47J35 35B10 35K86 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Vy Khoi On inclusions with monotone-type mappings in nonreflexive Banach spaces. (English) Zbl 1525.47091 J. Optim. Theory Appl. 192, No. 2, 484-509 (2022). MSC: 47J22 47H04 47H05 35J87 58E35 × Cite Format Result Cite Review PDF Full Text: DOI
Bao, Truong Q.; Hebestreit, Niklas; Tammer, Christiane Generalized solutions of quasi-variational-like problems. (English) Zbl 07341167 Vietnam J. Math. 48, No. 3, 509-526 (2020). MSC: 47J20 49J40 90C29 46A50 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pankov, Alexander Elliptic operators with nonstandard growth condition: some results and open problems. (English) Zbl 1439.35173 Kuchment, Peter (ed.) et al., Differential equations, mathematical physics, and applications. Selim Grigorievich Krein centennial. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 734, 277-292 (2019). MSC: 35J60 35J25 35B27 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
Garralda-Guillem, A. I.; Ruiz Galán, M. A minimax approach for the study of systems of variational equations and related Galerkin schemes. (English) Zbl 1417.49030 J. Comput. Appl. Math. 354, 103-111 (2019). MSC: 49K35 49J40 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Vy Khoi On the solvability of inclusions with multivalued compact perturbations of bi-mappings. (English) Zbl 1415.58012 Set-Valued Var. Anal. 27, No. 1, 129-149 (2019). Reviewer: Dumitru Motreanu (Perpignan) MSC: 58E35 47J20 47J25 35J87 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Vy Khoi On the existence of solutions of variational inequalities in nonreflexive Banach spaces. (English) Zbl 1482.47112 Banach J. Math. Anal. 13, No. 2, 293-313 (2019). MSC: 47J20 46B10 35J87 58E35 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Asfaw, T. M. A variational inequality theory for constrained problems in reflexive Banach spaces. (English) Zbl 1454.47093 Adv. Oper. Theory 4, No. 2, 462-480 (2019). MSC: 47J20 47H05 × Cite Format Result Cite Review PDF Full Text: DOI Euclid Link
Motoda, Taishi Time periodic solutions of Cahn-Hilliard systems with dynamic boundary conditions. (English) Zbl 1425.35074 AIMS Math. 3, No. 2, 263-287 (2018). MSC: 35K25 35A01 35B10 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Asfaw, Teffera M. Existence theorems on solvability of constrained inclusion problems and applications. (English) Zbl 1470.47051 Abstr. Appl. Anal. 2018, Article ID 6953649, 10 p. (2018). MSC: 47J22 47H05 49J53 35J87 × Cite Format Result Cite Review PDF Full Text: DOI
Kubo, Masahiro; Yamazaki, Noriaki Global strong solutions to abstract quasi-variational evolution equations. (English) Zbl 06933411 J. Differ. Equations 265, No. 9, 4158-4180 (2018). MSC: 47J20 47J35 35K86 × Cite Format Result Cite Review PDF Full Text: DOI
Gokieli, Maria; Kenmochi, Nobuyuki; Niezgódka, Marek Mathematical modeling of biofilm development. (English) Zbl 1516.35332 Nonlinear Anal., Real World Appl. 42, 422-447 (2018). MSC: 35Q35 35Q92 76D05 76T99 76Z10 92C80 35A23 35B65 35K57 35K65 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Visintin, Augusto Structural compactness and stability of semi-monotone flows. (English) Zbl 1388.35111 SIAM J. Math. Anal. 50, No. 3, 2628-2663 (2018). Reviewer: Stepan Agop Tersian (Rousse) MSC: 35K60 47H05 49J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Avci, Mustafa; Pankov, Alexander Multivalued elliptic operators with nonstandard growth. (English) Zbl 1391.35134 Adv. Nonlinear Anal. 7, No. 1, 35-48 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J60 35J25 35R70 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
Asfaw, Teffera M. A degree theory for compact perturbations of monotone type operators and application to nonlinear parabolic problem. (English) Zbl 1470.47046 Abstr. Appl. Anal. 2017, Article ID 7236103, 13 p. (2017). MSC: 47H11 35K55 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Vy Khoi Existence results for quasi-variational inequalities with multivalued perturbations of maximal monotone mappings. (English) Zbl 1359.58013 Result. Math. 71, No. 1-2, 423-453 (2017). MSC: 58E35 47J20 47J25 35J87 × Cite Format Result Cite Review PDF Full Text: DOI
Suzuki, Tomoyuki; Takasao, Keisuke; Yamazaki, Noriaki New approximate method for the Allen-Cahn equation with double-obstacle constraint and stability criteria for numerical simulations. (English) Zbl 1425.37051 AIMS Math. 1, No. 3, 288-317 (2016). MSC: 37M05 65N06 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Asfaw, Teffera M. Maximality theorems on the sum of two maximal monotone operators and application to variational inequality problems. (English) Zbl 1470.47036 Abstr. Appl. Anal. 2016, Article ID 7826475, 10 p. (2016). MSC: 47H05 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Suzuki, Tomoyuki; Takasao, Keisuke; Yamazaki, Noriaki Remarks on numerical experiments of the Allen-Cahn equations with constraint via Yosida approximation. (English) Zbl 1422.65184 Adv. Numer. Anal. 2016, Article ID 1492812, 16 p. (2016). MSC: 65M06 35K55 35K57 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Asfaw, Teffera M. A new topological degree theory for perturbations of demicontinuous operators and applications to nonlinear equations with nonmonotone nonlinearities. (English) Zbl 1422.47060 J. Funct. Spaces 2016, Article ID 3970621, 15 p. (2016). Reviewer: Petru Jebelean (Timişoara) MSC: 47H11 47H05 35D30 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Vy Khoi On the convergence of solutions of inclusions containing maximal monotone and generalized pseudomonotone mappings. (English) Zbl 1348.47051 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 143, 64-88 (2016). MSC: 47J22 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
Colli, Pierluigi; Fukao, Takeshi Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems. (English) Zbl 1334.35154 J. Differ. Equations 260, No. 9, 6930-6959 (2016). MSC: 35K61 35K25 35B25 35D30 80A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Asfaw, Teffera M. A new topological degree theory for pseudomonotone perturbations of the sum of two maximal monotone operators and applications. (English) Zbl 1344.47041 J. Math. Anal. Appl. 434, No. 1, 967-1006 (2016). MSC: 47H11 47H04 47H05 47J20 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Asfaw, Teffera M. Noncoercive perturbed densely defined operators and application to parabolic problems. (English) Zbl 1439.47032 Abstr. Appl. Anal. 2015, Article ID 357934, 11 p. (2015); corrigendum ibid. 2017, Article ID 2739102, 1 p. (2017). MSC: 47H05 47H14 47N20 35K20 35K59 × Cite Format Result Cite Review PDF Full Text: DOI
Colli, Pierluigi; Fukao, Takeshi The Allen-Cahn equation with dynamic boundary conditions and mass constraints. (English) Zbl 1334.35165 Math. Methods Appl. Sci. 38, No. 17, 3950-3967 (2015). MSC: 35K86 49J40 80A22 35K57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fukao, Takeshi; Kenmochi, Nobuyuki Quasi-variational inequality approach to heat convection problems with temperature dependent velocity constraint. (English) Zbl 1386.35218 Discrete Contin. Dyn. Syst. 35, No. 6, 2523-2538 (2015). MSC: 35K58 35K20 47J35 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Di Donato, Daniela; Mugnai, Dimitri On a highly nonlinear self-obstacle optimal control problem. (English) Zbl 1326.49014 Appl. Math. Optim. 72, No. 2, 261-290 (2015). MSC: 49J40 49J20 49K20 49J52 35J87 × Cite Format Result Cite Review PDF Full Text: DOI
Colli, Pierluigi; Fukao, Takeshi Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials. (English) Zbl 1323.35092 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 413-433 (2015). Reviewer: Mersaid Aripov (Tashkent) MSC: 35K61 35K25 35D30 35D35 80A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colli, Pierluigi; Fukao, Takeshi Cahn-Hilliard equation with dynamic boundary conditions and mass constraint on the boundary. (English) Zbl 1327.35149 J. Math. Anal. Appl. 429, No. 2, 1190-1213 (2015). MSC: 35K35 35K86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Asfaw, Teffera M. New surjectivity results for perturbed weakly coercive operators of monotone type in reflexive Banach spaces. (English) Zbl 1315.47050 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, 209-229 (2015). Reviewer: Rodica Luca (Iaşi) MSC: 47H14 47H07 47H11 × Cite Format Result Cite Review PDF Full Text: DOI
Berenguer, M. I.; Kunze, H.; La Torre, D.; Ruiz Galán, M. Galerkin schemes and inverse boundary value problems in reflexive Banach spaces. (English) Zbl 1297.65146 J. Comput. Appl. Math. 275, 100-112 (2015). MSC: 65N30 49J40 35R30 46B10 × Cite Format Result Cite Review PDF Full Text: DOI
Asfaw, Teffera M.; Kartsatos, Athanassios G. Variational inequalities for perturbations of maximal monotone operators in reflexive Banach spaces. (English) Zbl 1318.47082 Tohoku Math. J. (2) 66, No. 2, 171-203 (2014). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 47J20 47H05 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Kano, Risei; Murase, Yusuke Solvability of nonlinear evolution equations generated by subdifferentials and perturbations. (English) Zbl 1291.47069 Discrete Contin. Dyn. Syst., Ser. S 7, No. 1, 75-93 (2014). Reviewer: Jin Liang (Shanghai) MSC: 47J35 47J20 × Cite Format Result Cite Review PDF Full Text: DOI
Kano, Risei The existence of solutions for tumor invasion models with time and space dependent diffusion. (English) Zbl 1272.35131 Discrete Contin. Dyn. Syst., Ser. S 7, No. 1, 63-74 (2014). MSC: 35K86 47J20 35Q92 35K51 × Cite Format Result Cite Review PDF Full Text: DOI
Cascales, B.; Orihuela, J.; Ruiz Galán, M. Compactness, optimality, and risk. (English) Zbl 1291.46018 Bailey, David H. (ed.) et al., Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. New York, NY: Springer (ISBN 978-1-4614-7620-7/hbk; 978-1-4614-7621-4/ebook). Springer Proceedings in Mathematics & Statistics 50, 161-218 (2013). Reviewer: Jan-David Hardtke (Berlin) MSC: 46B50 46B10 46B26 46A50 46N10 47J20 49J52 91B30 91G10 91G80 × Cite Format Result Cite Review PDF Full Text: DOI
Kubo, Masahiro The Cahn-Hilliard equation with time-dependent constraint. (English) Zbl 1250.35130 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 14, 5672-5685 (2012). MSC: 35K85 35K90 35D30 35D35 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Vy Khoi A range and existence theorem for pseudomonotone perturbations of maximal monotone operators. (English) Zbl 1216.47086 Proc. Am. Math. Soc. 139, No. 5, 1645-1658 (2011). MSC: 47H14 47H05 47J20 35J87 × Cite Format Result Cite Review PDF Full Text: DOI
Ito, Akio; Kenmochi, Nobuyuki; Yamazaki, Noriaki A phase-field model of grain boundary motion. (English) Zbl 1199.35138 Appl. Math., Praha 53, No. 5, 433-454 (2008). MSC: 35K45 35K55 35R35 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link