مشخصات پژوهش

عنوان	EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONLOCAL −→p (x)-LAPLACIAN PROBLEM
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Anisotropic Sobolev spaces, Variable exponent, Mountain pass theorem, Fountain theorem, Dual Fountain theorem
چکیده	In this paper, we study the nonlocal anisotropic −→p (x)-Laplacian problem of the following form − N i=1 Mi   Ω |∂xiu|pi(x) pi(x) dx  ∂xi  |∂xiu|pi(x)−2∂xiu  = f(x, u) in Ω, u = 0 on ∂Ω. By means of a direct variational approach and the theory of the anisotropic variable exponent Sobolev space, we obtain the existence and multiplicity of weak energy solutions. Moreover, we get much better results with f in a special form.
پژوهشگران	مریم میرزاپور (نفر دوم)، قاسم علیزاده افروزی (نفر اول)