VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Existence, nonexistence and multiplicity of positive solutions for parametric nonlinear elliptic equations
    Iannizzotto, Antonio, 1977- ; Papageorgiou, Nikolaos, 1958-
    We consider a parametric nonlinear elliptic equation driven by the Dirichlet ▫$p$▫-Laplacian. We study the existence, nonexistence and multiplicity of positive solutions as the parameter ▫$\lambda$▫ ... varies in ▫$\mathbb{R}^{+}_{0}$▫ and the potential exhibits a ▫$p$▫-superlinear growth, without satisfying the usual in such cases Ambrosetti-Rabinowitz condition. We prove a bifurcation-type result when the reaction has ▫$(p-1)$▫-sublinear terms near zero (problem with concave and convex nonlinearities). We show that a similar bifurcation-type result is also true, if near zero the right hand side is ▫$(p-1)$▫-linear.
    Vir: Osaka Journal of Mathematics. - ISSN 0030-6126 (Vol. 51, no. 1, 2014, str. 179-203)
    Vrsta gradiva - članek, sestavni del
    Leto - 2014
    Jezik - angleški
    COBISS.SI-ID - 18285401

vir: Osaka Journal of Mathematics. - ISSN 0030-6126 (Vol. 51, no. 1, 2014, str. 179-203)
loading ...
loading ...
loading ...