On a phase field model of Cahn–Hilliard type for tumour growth with mechanical effects H Garcke, KF Lam, A Signori Nonlinear Analysis: Real World Applications 57, 103192, 2021 | 34 | 2021 |
Optimal distributed control of an extended model of tumor growth with logarithmic potential A Signori Applied Mathematics & Optimization 82, 517-549, 2020 | 34 | 2020 |
Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials P Colli, A Signori, J Sprekels Applied Mathematics & Optimization 83, 2017-2049, 2021 | 27 | 2021 |
On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport L Scarpa, A Signori Nonlinearity 34 (5), 3199, 2021 | 27 | 2021 |
Optimality conditions for an extended tumor growth model with double obstacle potential via deep quench approach A Signori Evol. Equ. Control Theory, 9(1) (2020), 193-217, 2018 | 26 | 2018 |
Vanishing parameter for an optimal control problem modeling tumor growth A Signori Asymptotic Analysis 117 (1-2), 43-66, 2020 | 24 | 2020 |
Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme A Signori Math. Control Relat. Fields, 10 (2020), 305-331, 2019 | 23 | 2019 |
Sparse optimal control of a phase field tumor model with mechanical effects H Garcke, KF Lam, A Signori SIAM Journal on Control and Optimization 59 (2), 1555-1580, 2021 | 20 | 2021 |
On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization P Knopf, A Signori Journal of Differential Equations 280, 236-291, 2021 | 18 | 2021 |
Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms P Knopf, A Signori Communications in Partial Differential Equations 47 (2), 233-278, 2022 | 17 | 2022 |
Strong well-posedness and inverse identification problem of a non-local phase field tumour model with degenerate mobilities S Frigeri, KF Lam, A Signori European J. Appl. Math., 33(2) (2022), 267-308, 2021 | 15 | 2021 |
Second-order analysis of an optimal control problem in a phase field tumor growth model with singular potentials and chemotaxis P Colli, A Signori, J Sprekels ESAIM Control Optim. Calc. Var., 27 (2021), 2020 | 15 | 2020 |
On a Cahn–Hilliard–Keller–Segel model with generalized logistic source describing tumor growth E Rocca, G Schimperna, A Signori Journal of Differential Equations 343, 530-578, 2023 | 14 | 2023 |
Penalisation of Long Treatment Time and Optimal Control of a Tumour Growth Model of Cahn-Hilliard A Signori Discrete Contin. Dyn. Syst. Ser. A, 41(6) (2021), 2519-2542, 2019 | 13 | 2019 |
Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis E Rocca, L Scarpa, A Signori Mathematical Models and Methods in Applied Sciences 31 (13), 2643-2694, 2021 | 12 | 2021 |
Optimal control problems with sparsity for tumor growth models involving variational inequalities P Colli, A Signori, J Sprekels Journal of Optimization Theory and Applications 194 (1), 25-58, 2022 | 11 | 2022 |
Overhang penalization in additive manufacturing via phase field structural topology optimization with anisotropic energies H Garcke, KF Lam, R Nürnberg, A Signori Applied Mathematics & Optimization 87 (3), 44, 2023 | 7 | 2023 |
Boundary control problem and optimality conditions for the Cahn–Hilliard equation with dynamic boundary conditions P Colli, A Signori International Journal of Control 94 (7), 1852-1869, 2021 | 7 | 2021 |
Cahn–Hilliard–Brinkman model for tumor growth with possibly singular potentials P Colli, G Gilardi, A Signori, J Sprekels Nonlinearity 36 (8), 4470, 2023 | 4 | 2023 |
Analysis and optimal control theory for a phase field model of Caginalp type with thermal memory P Colli, A Signori, J Sprekels arXiv preprint arXiv:2107.09565, 2021 | 4 | 2021 |