On the Eigenvalue Problem for Coupled Elliptic Systems

DOI10.1137/0517061zbMath0606.35033OpenAlexW1979674657MaRDI QIDQ3744562

Klaus Schmitt, Robert Stephen Cantrell

Publication date: 1986

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0517061

zbMATH Keywords

existencemultiplicitypositive solutionsbifurcationnonlinear perturbationspositive characteristic valuescoupled elliptic systems

Mathematics Subject Classification ID

Related Items (21)

Principal Eigenvalues for Systems of Schrödinger Equations Defined in the whole Space with Indefinite Weights ⋮ Diffusive logistic equations with indefinite weights: population models in disrupted environments ⋮ Maximum and comparison principles to Lane‐Emden systems ⋮ On the monotonicity property of the generalized eigenvalue for weakly-coupled cooperative elliptic systems ⋮ Unnamed Item ⋮ A nonlocal diffusion model with free boundaries in spatial heterogeneous environment ⋮ On the convex case in the positone problem for elliptic systems ⋮ Sign-definite solutions in some linear elliptic systems ⋮ Stable steady-state pattern formation on isothermal catalyst surfaces ⋮ Solutions of Multiparameter Systems of Elliptic Differential Equations ⋮ Positive solutions of systems of nonlinear eigenvalue problems ⋮ On eigenfunctions with sign definite components in weakly coupled linear elliptic systems ⋮ On the complex spectra of second order elliptic systems ⋮ On the Generalized Spectrum for Second-Order Elliptic Systems ⋮ Principal curves to nonlocal Lane-Emden systems and related maximum principles ⋮ A short note on the existence of nontrivial solutions to the vectorial equation in ⋮ Existence and uniqueness of coexistence states for an elliptic system coupled in the linear part ⋮ Existence and stability of positive solutions for an elliptic cooperative system ⋮ Strong positivity in \(C(\bar\Omega)\) for elliptic systems ⋮ Bifurcation from trivial solution for elliptic systems with nonlinear boundary conditions ⋮ Ergodic risk-sensitive control for regime-switching diffusions

This page was built for publication: On the Eigenvalue Problem for Coupled Elliptic Systems