On the internal transition layer to some inhomogeneous semilinear problems: Interface location

Autor:	Maicon Sônego
Rok vydání:	2021
Předmět:	010101 applied mathematics Variational method Interface (Java) Applied Mathematics Transition layer 010102 general mathematics Mathematical analysis Neumann boundary condition 0101 mathematics 01 natural sciences Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 502:125266
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2021.125266
Popis:	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 method based on the Young's inequality and the co-area formula. As an application, we establish the location of the internal transition layer to the problem posed on some symmetric Riemannian manifolds.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::16318f32ce9e1f9970037be087cc2a4d https://doi.org/10.1016/j.jmaa.2021.125266 Zobrazit plný text záznamu Full Text from ScienceDirect