Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Maicon Sônego"'
Autor:
Maicon Sônego
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 30, Pp 1-14 (2024)
Consider a general reaction-diffusion problem, $u_t = \Delta u + f(x, u, u_x)$, on a revolution surface or in an $n$-dimensional ball with Dirichlet boundary conditions. In this work, we provide conditions related to the geometry of the domain and th
Externí odkaz:
https://doaj.org/article/9b44263365db4b668cb73b2a8bdc7e74
Autor:
Maicon Sônego
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2019, Iss 49, Pp 1-8 (2019)
In this note we address the question of existence of non-constant stable stationary solution to the heat equation on surfaces of revolution subject to nonlinear boundary flux involving a positive parameter. Our result is independent of the surface ge
Externí odkaz:
https://doaj.org/article/10ac44f4853b4088b4f0fafb2ef720dc
Autor:
Maicon Sônego
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2017, Iss 64, Pp 1-10 (2017)
We give a sufficient condition for the existence of radially symmetric stable stationary solution of the problem $u_t=\operatorname{div}(a^2\nabla u)+f(u)$ on the unit ball whose border is supplied with zero Neumann boundary condition. Such a conditi
Externí odkaz:
https://doaj.org/article/44caf2357bff4e1f9226a646eabe8542
Autor:
Maicon Sônego
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 95, Pp 1-12 (2016)
We consider the equation $\Delta u+f(u)=0$ on a surface of revolution with Dirichlet boundary conditions. We obtain conditions on $f$, the geometry of the surface and the maximum value of a positive solution in order to ensure its stability or instab
Externí odkaz:
https://doaj.org/article/ce70cc3954ad430b8c09b9a5e85fa755
Autor:
Maicon Sônego
Publikováno v:
Advances in Nonlinear Analysis, Vol 9, Iss 1, Pp 361-371 (2019)
In this paper we consider a one-dimensional Allen-Cahn equation with degeneracy in the interior of the domain and Neumann boundary conditions. We allow the diffusivity coefficient vanish at some point of the space domain and we are addressed on the e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::187e5b200d721bd012a3662a0bb3828c
https://doi.org/10.1515/anona-2020-0004
https://doi.org/10.1515/anona-2020-0004
Publikováno v:
Discrete and Continuous Dynamical Systems - B. 27:3297
In this article we consider a singularly perturbed Allen-Cahn problem \begin{document}$ u_t = \epsilon^2(a^2u_x)_x+b^2(u-u^3) $\end{document}, for \begin{document}$ (x,t)\in (0,1)\times\mathbb{R}^+ $\end{document}, supplied with no-flux boundary cond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::14cd951f816a3598b186b4de199d99d8
https://doi.org/10.3934/dcdsb.2021185
https://doi.org/10.3934/dcdsb.2021185
Autor:
Maicon Sônego
Publikováno v:
Journal of Mathematical Analysis and Applications. 466:1190-1210
In this article we consider a one-dimensional reaction-diffusion problem with mixed boundary conditions. We provide conditions for the existence or nonexistence of stable nonconstant solutions whose derivative vanishes at some point. As an applicatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3be9bad93349b262afd346126783810f
https://doi.org/10.1016/j.jmaa.2018.06.027
https://doi.org/10.1016/j.jmaa.2018.06.027
Autor:
Maicon Sônego
Publikováno v:
Journal of Mathematical Analysis and Applications. 502:125266
We are concerned with the location of the internal transition layer for some classes of solutions to an inhomogeneous one-dimensional elliptic problem with Neumann boundary conditions. We generalize and extend some known results with a variational me
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16318f32ce9e1f9970037be087cc2a4d
https://doi.org/10.1016/j.jmaa.2021.125266
https://doi.org/10.1016/j.jmaa.2021.125266
Autor:
Maicon Sônego
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 26:5627
In this paper we are concerned with the existence of stable stationary solutions for the problem \begin{document}$ u_t = \epsilon^2(k_1^2(x) u_x)_x+k_2^2(x)g(u,x) $\end{document} , \begin{document}$ (t,x)\in\mathbb{R}^+\times (0,1) $\end{document} su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f577f41673d39c056b5143c93054509a
https://doi.org/10.3934/dcdsb.2020370
https://doi.org/10.3934/dcdsb.2020370
Autor:
Maicon Sônego
Publikováno v:
Differential Equations & Applications. :521-533
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6dba75556745b87342d12777d91cc2ed
https://doi.org/10.7153/dea-08-29
https://doi.org/10.7153/dea-08-29