The roles of diffusivity and curvature in patterns on surfaces of revolution AS do Nascimento, M Sônego Journal of Mathematical Analysis and Applications 412 (2), 1084-1096, 2014 | 16 | 2014 |
Patterns on surfaces of revolution in a diffusion problem with variable diffusivity AS Do Nascimento, M Sonego Electron. J. Differential Equations 2014 (238), 1, 2014 | 10 | 2014 |
Patterns in a balanced bistable equation with heterogeneous environments on surfaces of revolution M Sônego Differ. Equ. Appl 8 (4), 521-533, 2016 | 9 | 2016 |
Existence of radially symmetric patterns for a diffusion problem with variable diffusivity M Sônego Electronic Journal of Qualitative Theory of Differential Equations 2017 (64 …, 2017 | 5 | 2017 |
On the weakly degenerate Allen-Cahn equation M Sônego Advances in Nonlinear Analysis 9 (1), 361-371, 2019 | 4 | 2019 |
Stability results for a reaction-diffusion problem with mixed boundary conditions and applications to some symmetric cases M Sônego Journal of Mathematical Analysis and Applications 466 (2), 1190-1210, 2018 | 4 | 2018 |
On the internal transition layer to some inhomogeneous semilinear problems: interface location M Sonego Journal of Mathematical Analysis and Applications 502 (2), 125266, 2021 | 3 | 2021 |
Stable equilibria of a singularly perturbed reaction–diffusion equation when the roots of the degenerate equation contact or intersect along a non-smooth hypersurface AS do Nascimento, M Sônego Journal of Evolution Equations 16, 317-339, 2016 | 3 | 2016 |
Stable transition layer induced by degeneracy of the spatial inhomogeneities in the Allen-Cahn problem M Sônego, AS do Nascimento Discrete and Continuous Dynamical Systems-B 27 (6), 3297-3311, 2022 | 2 | 2022 |
On the energy functionals derived from a non-homogeneous p-Laplacian equation: Γ-convergence, local minimizers and stable transition layers EJ Hurtado, M Sonego Journal of Mathematical Analysis and Applications 483 (2), 123634, 2020 | 2 | 2020 |
Stable Transition Layers to Singularly Perturbed Spatially Inhomogeneous Allen-Cahn Equation AS Nascimento, M Sônego Advanced Nonlinear Studies 15 (2), 363-376, 2015 | 2 | 2015 |
Sufficient conditions on diffusivity for existence and nonexistence of stable equilibria with nonlinear flux on the boundary. AS do Nascimento, JC Simal, M Sonego | 2 | 2012 |
Stable transition layers in an unbalanced bistable equation. M Sônego Discrete & Continuous Dynamical Systems-Series B 26 (10), 2021 | 1 | 2021 |
A note on existence of patterns on surfaces of revolution with nonlinear flux on the boundary M Sônego Electronic Journal of Qualitative Theory of Differential Equations 2019 (49 …, 2019 | 1 | 2019 |
Stable equilibria to a singularly perturbed reaction–diffusion equation in a degenerated heterogeneous environment AS do Nascimento, M Sônego Journal of Mathematical Analysis and Applications 433 (2), 1743-1756, 2016 | 1 | 2016 |
A necessary and a sufficient condition on diffusivity for existence of patterns with nonlinear flux on the boundary AS Nascimento, JC Simal, M Sônego Resumos, 2011 | 1 | 2011 |
Stable transition layer for the Allen–Cahn equation when the spatial inhomogeneity vanishes on a nonsmooth hypersurface in ℝn M Sônego, J Biesdorf Mathematical Methods in the Applied Sciences 46 (17), 18096-18110, 2023 | | 2023 |
A note on control of one-dimensional heterogeneous reaction-diffusion equations. M Sônego, R Roychowdhury Evolution Equations & Control Theory 12 (2), 2023 | | 2023 |
A note on interface formation in singularly perturbed elliptic problems M Sônego Complex Variables and Elliptic Equations 67 (2), 338-345, 2022 | | 2022 |
Stable solution induced by domain geometry in the heat equation with nonlinear boundary conditions on surfaces of revolution. M Sônego Discrete & Continuous Dynamical Systems-Series B 25 (11), 2019 | | 2019 |