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A priori bounds via the relative Morse index of solutions of an elliptic system

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Publication:1049700
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DOI10.12775/TMNA.2009.027zbMath1183.35114MaRDI QIDQ1049700

Miguel Ramos

Publication date: 13 January 2010

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)


zbMATH Keywords

Morse indexLyapunov-Schmidt reductionstrongly indefinite functionalelliptic system


Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) A priori estimates in context of PDEs (35B45) Second-order elliptic systems (35J47) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Boundary value problems for second-order elliptic systems (35J57)


Related Items (2)

Liouville theorems for stable at infinity solutions of Lane–Emden system ⋮ Global a priori bounds for weak solutions of quasilinear elliptic systems with nonlinear boundary condition







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