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Volume 5 Issue 6, December 2023
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Cover
PP. 1-45
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11 articles
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Research Article | Open Access
The mixed virtual element discretization for highly-anisotropic problems: the role of the boundary degrees of freedom
Stefano Berrone, Stefano Scialò, Gioana Teora
Published: 15 December 2023
2023, 5(6): 1-32
Research Article | Open Access
Long-time prediction of nonlinear parametrized dynamical systems by deep learning-based reduced order models
Stefania Fresca, Federico Fatone, Andrea Manzoni
Published: 15 December 2023
2023, 5(6): 1-36
Research Article | Open Access
A volume constraint problem for the nonlocal doubly nonlinear parabolic equation
Masashi Misawa, Kenta Nakamura, Yoshihiko Yamaura
Published: 15 December 2023
2023, 5(6): 1-26
Research Article | Open Access
A guide to the design of the virtual element methods for second- and fourth-order partial differential equations
Yu Leng, Lampros Svolos, Dibyendu Adak, [...], Ismael Boureima, Gianmarco Manzini, Hashem Mourad, Jeeyeon Plohr << Fewer
Published: 15 December 2023
2023, 5(6): 1-22
Research Article | Open Access
Lp compactness criteria with an application to variational convergence of some nonlocal energy functionals
Qiang Du, Tadele Mengesha, Xiaochuan Tian
Published: 15 December 2023
2023, 5(6): 1-31
Research Article | Open Access
Higher-order adaptive virtual element methods with contraction properties
Claudio Canuto, Davide Fassino
Published: 15 December 2023
2023, 5(6): 1-33
Editorial | Open Access
Preface to the Special Issue: Nonlinear PDEs and geometric analysis – Dedicated to Neil Trudinger on the occasion of his 80th birthday
Julie Clutterbuck, Jiakun Liu
Published: 15 December 2023
2023, 5(6): 1-5
Research Article | Open Access
The fourth-order total variation flow in R n
Yoshikazu Giga, Hirotoshi Kuroda, Michał Łasica
Published: 15 December 2023
2023, 5(6): 1-45
Research Article | Open Access
Equilibrium of thin shells under large strains without through-the-thickness shear and self-penetration of matter
Paolo Maria Mariano, Domenico Mucci
Published: 15 December 2023
2023, 5(6): 1-21
Research Article | Open Access
Variational analysis in one and two dimensions of a frustrated spin system: chirality and magnetic anisotropy transitions
Andrea Kubin, Lorenzo Lamberti
Published: 15 December 2023
2023, 5(6): 1-37
Research Article | Open Access
Gradient estimates for the solutions of higher order curvature equations with prescribed contact angle
Bin Deng, Xinan Ma
Published: 15 December 2023
2023, 5(6): 1-13