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 for non-homogeneous degenerate Schrödinger equations in cone Sobolev spaces
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Semilinear elliptic equation, non-homogeneous Schrödinger equation, degenerate elliptic equations, cone Sobolev space
مجله INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
شناسه DOI 10.1007/s13226-017-0215.x
پژوهشگران محسن علیمحمدی (نفر اول) ، علی اصغر جعفری (نفر دوم) ، مرتضی کوزه گر (نفر سوم)

چکیده

The present paper deals with the study of semilinear and non-homogeneous Schrödinger equations on a manifold with conical singularity. We provide a suitable constant by Sobolev embedding constant and for p ∈ (2, 2∗) with respect to non-homogeneous term g(x) ∈ L2n/2(B), which helps to find multiple solutions of our problem. More precisely, we prove the existence of two solutions to the problem 1.1 with negative and positive energy in cone Sobolev space H2,01,n/2 (B). Finally, we consider p = 2 and we prove the existence and uniqueness of Fuchsian-Poisson problem