Morse theory for a fourth order elliptic equation with exponential nonlinearity (Q628700)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Morse theory for a fourth order elliptic equation with exponential nonlinearity |
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Morse theory for a fourth order elliptic equation with exponential nonlinearity (English)
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14 March 2011
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The authors prove, for a class of smooth functionals, a Poincaré-Hopf formula without the Palais-Smale condition. This result is applied to study a fourth order elliptic equation in a bounded domain of \(\mathbb R^4\) involving an exponential nonlinearity.
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scalar field equations
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geometric PDE's
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Morse theory
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Leray-Schauder degree
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