The implicit function theorem and multi-bump solutions of periodic partial differential equations

DOI10.1017/S0308210500005060zbMath1103.47050MaRDI QIDQ5488308

Robert Magnus

Publication date: 14 September 2006

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

failure of continuity of derivativemodified implicit function theorempositive of solutions

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Nonlinear higher-order PDEs (35G20) Applications of operator theory to differential and integral equations (47N20) Implicit function theorems; global Newton methods on manifolds (58C15) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

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