Strong maximum principle for a sublinear elliptic problem at resonance

We examine the semilinear resonant problem $$ -\Delta u = \lambda_1 u + \lambda g(u) \quad \text{in } \Omega,\ u\geq 0 \text{ in } \Omega, \ u_{|\partial\Omega}=0, $$ where $\Omega\subset\mathbb R^N$ is a smooth, bounded domain, $\lambda_1$ is the first eigenvalue of $-\Delta$ in $\Omega$, $\lam...

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Bibliographic Details
Main Authors: Giovanni Anello, Filippo Cammaroto, Luca Vilasi
Format: Article
Language:English
Published: University of Szeged 2022-07-01
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=9852