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• W2016767811 abstract "We seek critical points of the Hessian energy functional $$E_Omega(u)!=!int_OmegavertDelta uvert^2dx$$ , where $$Omega={mathbb R}^4$$ or Ω is the unit disk $$B$$ in $${mathbb R}^4$$ and u : Ω → S 4. We show that $$E_{{mathbb R}^4}$$ has a critical point which is not homotopic to the constant map. Moreover, we prove that, for certain prescribed boundary data on ∂B, E B achieves its infimum in at least two distinct homotopy classes of maps from B into S 4." @default.
• W2016767811 created "2016-06-24" @default.
• W2016767811 creator A5003050173 @default.
• W2016767811 date "2007-02-20" @default.
• W2016767811 modified "2023-09-23" @default.
• W2016767811 title "Large solutions for biharmonic maps in four dimensions" @default.
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• W2016767811 doi "https://doi.org/10.1007/s00526-007-0095-8" @default.
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