Morse theory for a fourth order elliptic equation with exponential nonlinearity |
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| Authors: | Laura Abatangelo Alessandro Portaluri |
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| Affiliation: | 1. University of Milano-Bicocca, Milano, Italy
2. University of Salento, Lecce, Italy
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| Abstract: | Given a Hilbert space (H,á·,·?){(mathcal H,langlecdot,cdotrangle)}, and interval L ì (0,+￥){Lambdasubset(0,+infty)} and a map K ? C2(H,mathbb R){Kin C^2(mathcal H,mathbb R)} whose gradient is a compact mapping, we consider the family of functionals of the type: | I(l,u)=dfrac12áu,u?-lK(u), (l,u) ? L×H.I(lambda,u)=dfrac12langle u,urangle-lambda K(u),quad (lambda,u)inLambdatimesmathcal H. |
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