مشخصات پژوهش

عنوان	Existence and regularity results for a degenerate elliptic nonlinear equation on weighted Sobolev spaces
نوع پژوهش	مقاله چاپ‌شده
کلیدواژه‌ها	Degenerate elliptic equation, Nonlinear eigenvalue problem, Variational methods
چکیده	This paper deals with the existence of many solutions a degenerate weighted elliptic equation which its the number of solutions depend on degeneracy term a i.e., the number of subdomains of n a􀀀1(0) whose boundary is made by submanifolds with 1-codimension. Moreover, by the Ljusternik-Schnirelman principle, we would study the corresponding eigenvalue problem and obtained the nonnegative eigenvalues sequence of main problem. Finally, we will discuss of the regularity of the solutions on C1; ( ):
پژوهشگران	مرتضی کوزه گر کالجی (نفر سوم)، کارلو کاتانی (نفر دوم)، محسن علیمحمدی (نفر اول)