Morse index of steady-states to the SKT model with Dirichlet boundary conditions

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DOI10.1137/23m1627705zbMath1547.3506MaRDI QIDQ6598462

Homare Sato, Kousuke Kuto

Publication date: 5 September 2024

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

zbMATH Keywords

perturbation bifurcation Morse index cross-diffusion unstable manifold limiting systems

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Variational methods for elliptic systems (35J50) Bifurcations in context of PDEs (35B32) Quasilinear elliptic equations (35J62) Boundary value problems for second-order elliptic systems (35J57) Pattern formations in context of PDEs (35B36)

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