Existence of solution for Kirchhoff model problems with singular nonlinearity

We study the fourth order Kirchhoff equation $\Delta^2 u - (a+b \int_{\Omega} |\nabla u|^2)^\gamma \Delta u = f(u)$ in $\Omega$ with $-\Delta u > 0$ and $u > 0$ in $\Omega$, and $\Delta u = u = 0$ on $\partial \Omega$, where $f(t) = \alpha \frac{1}{t^\theta} + \lambda t^q + \mu t + g(t)$ for...

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Bibliographic Details
Main Author: Marcelo Montenegro
Format: Article
Language:English
Published: University of Szeged 2021-10-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9316