Calculating critical groups of solutions for elliptic problem with jumping nonlinearity

DOI10.1016/S0362-546X(01)00139-0zbMath1012.35022MaRDI QIDQ1601670

Shaoping Wu, Jia Quan Liu

Publication date: 27 June 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

existenceMorse relationtrivial critical point

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (9)

Multiple positive solutions for a class of \(p\)-superlinear elliptic problems ⋮ Existence and multiplicity of solutions for asymptotically linear, noncoercive elliptic equations ⋮ Multiple positive solutions for nonlinear periodic problems ⋮ On resonant Neumann problems: multiplicity of solutions ⋮ An asymmetric superlinear elliptic problem at resonance ⋮ Multiplicity theorems for superlinear elliptic problems ⋮ A multiplicity theorem for Neumann problems with asymmetric nonlinearity ⋮ Multiple nontrivial solutions of a semilinear elliptic problem with asymmetric nonlinearity ⋮ Unnamed Item

Cites Work

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• On a superlinear elliptic equation
• Multiplicity results for superlinear elliptic problems with partial interference with the spectrum
• On superlinear elliptic problems with nonlinearities interacting only with higher eigenvalues
• Multiplicity results for some elliptic problems with concave nonlinearities
• The Conley index and the critical groups via an extension of Gromoll-Meyer theory
• Infinite dimensional Morse theory and multiple solution problems
• On the inversion of some differentiable mappings with singularities between Banach spaces
• Lusternik-Schnirelman theory on Banach manifolds

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