Qualitative Analysis of Gradient-Type Systems with Oscillatory Nonlinearities on the Sierpiński Gasket

作     者：Gabriele BONANNO Giovanni MOLICA BISCI Vicentiu RDULESCU 

作者机构：Department of Science for Engineering and Architecture (Mathematics Section) Engineering Faculty University of Messina98166 Messina Italy Department Patrimonio Architettonico e Urbanistico PAU Università degli Studi "Mediterranea" di Reggio Calabria Via Melissari I-89124 Reggio Calabria Italy Institute of Mathematics "Simion Stoilow" of the Romanian AcademyP. O. Box 1-764 014700 Bucharest Romania Department of Mathematics University of CraiovaStreet A. I. Cuza No. 13 200585 Craiova Romania 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2013年第34卷第3期

页      面：381-398页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Grant CNCS PCE 47/2011 (Qualitative and Numerical Analysis of Nonlinear Problems on Fractals) supported by the GNAMPA Project(Esistenza e molteplicit di soluzioni per problemi differenziali non lineari) 2012 

主　　题：Sierpifiski gasket Nonlinear elliptic equation Dirichlet form WeakLaplacian 

摘      要：Under an appropriate oscillating behavior either at zero or at infinity of the nonlinear data, the existence of a sequence of weak solutions for parametric quasilinear systems of the gradient-type on the Sierpinski gasket is proved. Moreover, by adopting the same hypotheses on the potential and in presence of suitable small perturbations, the same conclusion is achieved. The approach is based on variational methods and on certain analytic and geometrical properties of the Sierpinski fractal as, for instance, a compact embedding result due to Fukushima and Shima.