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Existence and bifurcationresults for fourth order elliptic equations involving two critical Sobolev exponents

Kandylakis Dimitrios, Magiropoulos Manolis, Zographopoulos Nikolaos B.

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URI: http://purl.tuc.gr/dl/dias/55DFFD7D-7C3D-4EA9-B9C5-C00BA9E90072
Year 2008
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation D.A. Kandilakis, N. Zographopoulos, M. Magiropoulos," Existence and bifurcation results for fourth order elliptic equations involving two critical Sobolev exponents," Glasgow Mathematical Journal, vol. 51, no. 1, pp. 127 - 141, 2008. https://doi.org/10.1017/S0017089508004588
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Journal Publications in Community School of Architecture

Summary

Let be a smooth bounded domain inRN, withN≥5. We provide existence and bifurcation results for the elliptic fourth-order equation2u−pu= f(λ,x,u)in, under the Dirichlet boundary conditionsu=0and∇u= 0. Hereλ is a positive real number, 1

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