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  • A unified treatment using critical point methods of the existence of multiple solutions for superlinear and sublinear Neumann problems
    Motreanu, Dumitru, 1949- ; O'Regan, Donal ; Papageorgiou, Nikolaos, 1958-
    In this paper we present a framework which permits the unified treatment of the existence of multiple solutions for superlinear and sublinear Neumann problems. Using critical point theory, truncation ... techniques, the method of upper-lower solutions, Morse theory and the invariance properties of the negative gradient flow, we show that the problem can have seven nontrivial smooth solutions, four of which have constant sign and three are nodal.
    Source: Communications on pure and applied analysis. - ISSN 1534-0392 (Vol. 10, no. 6, 2011, str. 1791-1816)
    Type of material - article, component part ; adult, serious
    Publish date - 2011
    Language - english
    COBISS.SI-ID - 17596761

    Link(s):

    http://dx.doi.org/10.3934/cpaa.2011.10.1791

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