Koley, Ujjwal; Yamazaki, Kazuo Non-uniqueness in law of transport-diffusion equation forced by random noise. (English) Zbl 07957283 J. Differ. Equations 416, Part 1, 82-142 (2025). Reviewer: Lucio Galeati (L’Aquila) MSC: 35A02 35Q49 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yamazaki, Kazuo Non-uniqueness in law of three-dimensional Navier-Stokes equations diffused via a fractional Laplacian with power less than one half. (English) Zbl 1541.35354 Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 1, 794-855 (2024). MSC: 35Q30 76D05 35A02 35B65 60J65 26A33 35R11 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rüland, Angkana; Simon, Theresa M. On rigidity for the four-well problem arising in the cubic-to-trigonal phase transformation. (English) Zbl 1515.74063 J. Elasticity 153, No. 3, 455-475 (2023). MSC: 74N05 74N15 74G65 74B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yamazaki, Kazuo Non-uniqueness in law for the Boussinesq system forced by random noise. (English) Zbl 1504.35243 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 177, 65 p. (2022). MSC: 35Q30 76D05 35A02 35B65 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rüland, Angkana; Tribuzio, Antonio On the energy scaling behaviour of a singularly perturbed Tartar square. (English) Zbl 1480.49002 Arch. Ration. Mech. Anal. 243, No. 1, 401-431 (2022). MSC: 49J10 74A60 74M25 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wasem, Micha Equidimensional isometric extensions. (English) Zbl 1478.53112 Z. Anal. Anwend. 40, No. 3, 349-366 (2021). MSC: 53C42 35F60 35F50 53B20 53A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Della Porta, Francesco; Rüland, Angkana; Taylor, Jamie M.; Zillinger, Christian On a probabilistic model for martensitic avalanches incorporating mechanical compatibility. (English) Zbl 1467.74069 Nonlinearity 34, No. 7, 4844-4896 (2021). MSC: 74N05 74N15 74S60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mandallena, Jean-Philippe; Sychev, Mikhail An existence theorem for non-homogeneous differential inclusions in Sobolev spaces. (English) Zbl 1509.49005 Adv. Calc. Var. 14, No. 3, 313-326 (2021). MSC: 49J27 49J21 × Cite Format Result Cite Review PDF Full Text: DOI
Cesana, Pierluigi; Della Porta, Francesco; Rüland, Angkana; Zillinger, Christian; Zwicknagl, Barbara Exact constructions in the (non-linear) planar theory of elasticity: from elastic crystals to nematic elastomers. (English) Zbl 1434.74059 Arch. Ration. Mech. Anal. 237, No. 1, 383-445 (2020). MSC: 74G65 74B20 74B15 76A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rüland, Angkana; Taylor, Jamie M.; Zillinger, Christian Convex integration arising in the modelling of shape-memory alloys: some remarks on rigidity, flexibility and some numerical implementations. (English) Zbl 1426.35061 J. Nonlinear Sci. 29, No. 5, 2137-2184 (2019). MSC: 35B65 35B36 32F32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Conti, S.; Müller, S.; Ortiz, M. Data-driven problems in elasticity. (English) Zbl 1402.35276 Arch. Ration. Mech. Anal. 229, No. 1, 79-123 (2018). Reviewer: Adina Chirila (Brasov) MSC: 35Q74 74B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zhang, Kewei On coercivity and regularity for linear elliptic systems. (English) Zbl 1208.35044 Calc. Var. Partial Differ. Equ. 40, No. 1-2, 65-97 (2011). Reviewer: Stepan Agop Tersian (Rousse) MSC: 35J47 35J50 35B60 × Cite Format Result Cite Review PDF Full Text: DOI
de Blasi, F. S.; Pianigiani, G. Baire’s category and the bang-bang property for evolution differential inclusions of contractive type. (English) Zbl 1211.34074 J. Math. Anal. Appl. 367, No. 2, 550-567 (2010). Reviewer: Anna Salvadori (Perugia) MSC: 34G25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Kewei On coercivity and irregularity for some nonlinear degenerate elliptic systems. (English) Zbl 1155.35338 Front. Math. China 3, No. 4, 599-642 (2008). MSC: 35J50 35J45 35J55 49J10 49N60 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Qi; Zhang, Kewei An evolutionary double-well problem. (English) Zbl 1138.35045 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 3, 341-359 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35K60 35B40 35K55 49J45 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
De Blasi, F. S.; Pianigiani, G. Baire category and boundary value problems for ordinary and partial differential inclusions under Carathéodory assumptions. (English) Zbl 1140.34006 J. Differ. Equations 243, No. 2, 558-577 (2007). Reviewer: Marlène Frigon (Montréal) MSC: 34A60 × Cite Format Result Cite Review PDF Full Text: DOI
Kreiner, Carl-Friedrich; Zimmer, Johannes Topology and geometry of nontrivial rank-one convex hulls for two-by-two matrices. (English) Zbl 1108.49010 ESAIM, Control Optim. Calc. Var. 12, 253-270 (2006). MSC: 49J45 52A30 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Chełmiński, Krzysztof; Kałamajska, Agnieszka New convexity conditions in the calculus of variations and compensated compactness theory. (English) Zbl 1114.49019 ESAIM, Control Optim. Calc. Var. 12, 64-92 (2006). Reviewer: Vasile Iftode (Bucureşti) MSC: 49K10 49J45 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Zhang, Kewei Existence of infinitely many solutions for the one-dimensional Perona-Malik model. (English) Zbl 1096.35067 Calc. Var. Partial Differ. Equ. 26, No. 2, 171-199 (2006). MSC: 35K60 35K65 94A08 68M10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Kewei On existence of weak solutions for one-dimensional forward-backward diffusion equations. (English) Zbl 1092.35048 J. Differ. Equations 220, No. 2, 322-353 (2006). MSC: 35K60 × Cite Format Result Cite Review PDF Full Text: DOI
Sychev, M. A. Sets of lower semicontinuity and stability of integral functionals. (English) Zbl 1075.49003 J. Math. Pures Appl., IX. Sér. 84, No. 8, 985-1014 (2005). MSC: 49J45 × Cite Format Result Cite Review PDF Full Text: DOI
Faraco, Daniel Milton’s conjecture on the regularity of solutions to isotropic equations. (English) Zbl 1029.30012 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 5, 889-909 (2003). Reviewer: Bodo Dittmar (Halle) MSC: 30C62 35J15 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Müller, S.; Sychev, M. A. Optimal existence theorems for nonhomogeneous differential inclusions. (English) Zbl 0989.49012 J. Funct. Anal. 181, No. 2, 447-475 (2001). Reviewer: Luigi Ambrosio (Pisa) MSC: 49J45 49J24 35R70 49L20 × Cite Format Result Cite Review PDF Full Text: DOI Link