An application of a nonlinear Krein-Rutman theorem to a semi-linear elliptic system

DOI10.1007/s00025-015-0466-yzbMath1347.35109OpenAlexW980416023MaRDI QIDQ310859

Zexin Qi

Publication date: 8 September 2016

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-015-0466-y

zbMATH Keywords

Krein-Rutman theoremsemi-linear elliptic system

Mathematics Subject Classification ID

Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• Combined effects of concave and convex nonlinearities in some elliptic problems
• Global existence and blow-up for a nonlinear reaction-diffusion system
• Global bifurcation problems associated with \(k\)-Hessian operators
• Elliptic partial differential equations of second order
• Global existence and finite time blow up for a reaction-diffusion system
• A note on a nonlinear Krein-Rutman theorem
• On positive weak solutions for a class of quasilinear elliptic systems
• A maximum principle for semilinear parabolic systems and applications

This page was built for publication: An application of a nonlinear Krein-Rutman theorem to a semi-linear elliptic system