On the solvability of parameter-dependent elliptic functional BVPs on annular-like domains

Autor:	Calamai, Alessandro, Infante, Gennaro
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs Mathematics - Classical Analysis and ODEs Mathematics - Functional Analysis Primary 35J15 secondary 35B09 35J25 35J60 47H10
Druh dokumentu:	Working Paper
Popis:	We investigate the existence of nontrivial solutions of parameter-dependent elliptic equations with deviated argument in annular-like domains in $\mathbb{R}^{n}$, with $n\geq 2$, subject to functional boundary conditions. In particular we consider a boundary value problem that may be used to model heat-flow problems. We obtain an existence result by means of topological methods; in particular, we make use of a recent variant in affine cones of the celebrated Birkhoff--Kellogg theorem. Using an ODE argument, we illustrate in an example the applicability of our theoretical result. Comment: 11 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.11615 Zobrazit plný text záznamu View this record from Arxiv