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  • Wang's multiplicity result for superlinear ▫$(p,q)$▫-equations without the Ambrosetti-Rabinowitz condition
    Mugnai, Dimitri ; Papageorgiou, Nikolaos, 1958-
    The authors consider a nonlinear elliptic equation driven by the sum of a ▫$p$▫-Laplacian and a ▫$q$▫-Laplacian ▫$$ \begin{cases} -\Delta_pu-\mu \Delta_qu = f(z,u) & \text{in} \quad \Omega \\ u = 0 & ... \text{on} \quad \partial \Omega, \end{cases}$$▫ where ▫$1< q \leq 2 \leq p< \infty, \mu \geq 0$▫ and ▫$f$▫ is a ▫$(p-1)$▫-superlinear Carathéodory reaction term which doesn't satisfy the usual Ambrosetti-Rabinowitz condition. Using variational methods based on critical point theory together with techniques from Morse theory, the authors show that the problem has at least three nontrivial solutions; among them one is positive and one is negative.
    Vir: Transactions of the American Mathematical Society. - ISSN 0002-9947 (Vol. 366, no. 9, 2014, str. 4919-4937)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2014
    Jezik - angleški
    COBISS.SI-ID - 17802841

    Povezava(-e):

    http://dx.doi.org/10.1090/S0002-9947-2013-06124-7

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