Homological approach to problems with jumping non-linearity (Q739441)
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scientific article; zbMATH DE number 6618029
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homological approach to problems with jumping non-linearity |
scientific article; zbMATH DE number 6618029 |
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Homological approach to problems with jumping non-linearity (English)
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18 August 2016
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The authors use the Rabinowitz-Floer homology approach to study semilinear elliptic problems featuring jumping nonlinearities of type \[ -\Delta u=\lambda_+u_+^p-\lambda_-u_-^p\quad\text{ in }M, \] where \(M=S^1\times N\) with \(N\) a compact manifold. The associated elliptic systems with perturbed terms are also analyzed.
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equivariant homology
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Rabinowitz-Floer homology
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jumping nonlinearities
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0.87612945
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0.86563325
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0.86008745
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0.8594744
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