20 بهمن 1401

محسن علیمحمدی

مرتبه علمی: استاد
نشانی: گروه ریاضی دانشگاه مازندران
تحصیلات: دکترای تخصصی / ریاضی
تلفن: 011-35302462
دانشکده: دانشکده علوم ریاضی

مشخصات پژوهش

عنوان Existence and multiplicity of weak solutions for gradient-type systems with oscillatory nonlinearities on the Sierpiński gasket
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
gradient-type systems, Sierpiński gasket, nonlinear elliptic equation, Palais-Smale condition
مجله Hacettepe Journal of Mathematics and Statistics
شناسه DOI 10.15672/HJMS.2018.588
پژوهشگران هیفا محسن بوایت (نفر اول) ، قاسم علیزاده افروزی (نفر دوم) ، محسن علیمحمدی (نفر سوم)

چکیده

In this paper, we establish the existence and multiplicity results of solutions for parametric quasi-linear systems of the gradient-type on the Sierpiński gasket is proved. Our technical approach is based on variational methods and critical points theory and on certain analytic and geometrical properties of the Sierpiński fractal. Indeed, using a consequence of the local minimum theorem due to Bonanno, the Palais-Smale condition cut off upper at r, and the Palais-Smale condition for the Euler functional we investigate the existence of one and two solutions for our problem under algebraic conditions on the nonlinear part. Moreover by applying a different three critical point theorem due to Bonanno and Marano we guarantee the existence of third solution for our problem.(400)