Browsing by Author "Clapp, Monica"

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    Multipeak solutions to the Bahri-Coron problem in domains with a shrinking hole
    (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009) Clapp, Monica; Musso, Monica; Pistoia, Angela
    We construct positive and sign changing multipeak solutions to the Pure critical exponent problem in a bounded domain with a shrinking hole, having a peak which concentrates at some point inside the shrinking hole (i.e. outside the domain) and one or more peaks which concentrate at interior points of the domain. These are, to Our knowledge, the first multipeak solutions in a domain with a single small hole. (C) 2008 Elsevier Inc. All rights reserved.
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    Singular limits for the bi-Laplacian operator with exponential nonlinearity in R-4
    (GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2008) Clapp, Monica; Munoz, Claudio; Musso, Monica
    Let Omega be a bounded smooth domain in R-4 such that for some integer d >= 1 its d-th singular cohomology group with coefficients in some field is not zero, then problem