@misc{10481/77066,
year = {2022},
month = {9},
url = {https://hdl.handle.net/10481/77066},
abstract = {In this paper we study the existence of positive solution to the Kirchhoff elliptic problem
{−(1+γG′(∥∇u∥2L2(Ω)))Δu=λf(u)u=0 in Ω, on ∂Ω,

where Ω
is an open, bounded subset of RN (N≥3), f is a locally Lipschitz continuous real function, f(0)≥0, G′∈C(R+) and G′≥0. We prove the existence of at least two solutions with L∞(Ω) norm between two consecutive zeroes of f for large λ.},
organization = {Ministerio de Ciencia, Innovación y Universidades (MCIU)},
organization = {Agencia Estatal de Investigación (AEI)},
organization = {(FEDER) Fondo Europeo de Desarrollo Regional under Research Project PGC2018-096422-B-I00},
organization = {Junta de Andalucía, Consejería de Transformación Económica, Industria, Conocimiento y Universidades-Unión Europea grant P18-FR-667},
organization = {Junta de Andalucía FQM-116},
organization = {Junta de Andalucía FQM-194 and CDTIME},
organization = {Junta de Andalucía, Consejería de Transformación Económica, Industria, Conocimiento y Universidades grant UAL2020-FQM-B2046},
publisher = {Springer Nature},
keywords = {Elliptic Kirchhoff equation},
keywords = {Continua of solutions},
keywords = {Multiplicity of solutions},
title = {Multiplicity of Solutions for an Elliptic Kirchhoff Equation},
doi = {10.1007/s00032-022-00365-y},
author = {Arcoya Álvarez, David and Carmona Tapia, José and Martínez Aparicio, Pedro J.},
}