Qualitative properties of solutions to mixed-diffusion bistable equations

Autor:	Bonheure, Denis, Juraj, Földes, Alberto, Saldaña
Rok vydání:	2015
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We consider a fourth-order extension of the Allen-Cahn model with mixed-diffusion and Navier boundary conditions. Using variational and bifurcation methods, we prove results on existence, uniqueness, positivity, stability, a priori estimates, and symmetry of solutions. As an application, we construct a nontrivial bounded saddle solution in the plane. Comment: New version with minor changes
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1509.07468 Zobrazit plný text záznamu View this record from Arxiv