Conley indices on convex sets, attractor-repeller pairs and applications to multiple solutions of nonlinear elliptic equations

DOI10.1007/S11784-006-0003-4zbMath1169.35023OpenAlexW1979522429MaRDI QIDQ998022

E. Norman Dancer

Publication date: 10 August 2007

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-006-0003-4

zbMATH Keywords

critical groupsmultiple solutionsorder intervals

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Index theory for dynamical systems, Morse-Conley indices (37B30)

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