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- Title
Strong maximum principle for a sublinear elliptic problem at resonance.
- Authors
Anello, Giovanni; Cammaroto, Filippo; Vilasi, Luca
- Abstract
We examine the semilinear resonant problem -Δu=λ1u+λg(u)in Ω, u≥0 in Ω, u|∂Ω=0, where Ω∈RN is a smooth, bounded domain, λ1 is the first eigenvalue of -Δ in Ω, λ>0. Inspired by a previous result in literature involving power-type nonlinearities, we consider here a generic sublinear term g and single out conditions to ensure: the existence of solutions for all λ>0; the validity of the strong maximum principle for sufficiently small λ. The proof rests upon variational arguments.
- Subjects
RESONANCE; MAXIMUM principles (Mathematics); EIGENVALUES; ARGUMENT
- Publication
Electronic Journal of Qualitative Theory of Differential Equations, 2022, p1
- ISSN
1417-3875
- Publication type
Article
- DOI
10.14232/ejqtde.2022.1.32