VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Multiple solutions for nonlinear coercive problems with a nonhomogeneous differential operator and a nonsmooth potential
    Gasiński, Leszek ; Papageorgiou, Nikolaos, 1958-
    We consider a nonlinear elliptic problem driven by a nonlinear nonhomogeneous differential operator and a nonsmooth potential. We prove two multiplicity theorems for problems with coercive energy ... functional. In both theorems we produce three nontrivial smooth solutions. In the second multiplicity theorem, we provide precise sign information for all three solutions (the first positive, the second negative and the third nodal). Out approach is variational, based on the nonsmooth critical point theory. We also prove an auxiliary result relating smooth and Sobolev local minimizer for a large class of locally Lipschitz functionals.
    Vir: Set-valued and variational analysis. - ISSN 1877-0533 (Vol. 20, iss. 3, 2012, str. 417-443)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2012
    Jezik - angleški
    COBISS.SI-ID - 17576793

    Povezava(-e):

    http://dx.doi.org/10.1007/s11228-011-0198-4

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