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 Multiple Solutions to a Caffarelli–Kohn–Nirenberg-Type Equation in Finsler Manifold
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Caffarelli–Kohn–Nirenberg-type equation  Finsler manifold  Symmetric mountain pass theorem  Ricci curvature  Weighted Sobolev space
مجله Iranian Journal of Science and Technology, Transaction A: Science
شناسه DOI 10.1007/s40995-018-0620-y
پژوهشگران امیر محمد معافی (نفر اول) ، محسن علیمحمدی (نفر دوم)

چکیده

This paper deals with the existence of infinitely many solutions for a generalized form of Caffarelli–Kohn–Nirenberg-type equation in a Finsler manifold, with asymptotically linear term at infinity. This kind of nonlinear term creates some difficulties in the application of the symmetric mountain pass lemma because of the lack of Ambrosetti–Rabinowitz-type condition; hence, it is difficult to verify the classical (P S)c condition. To overcome this difficulty, we use an equivalent version of Cerami’s condition (C)c.