کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10427111 908643 2005 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Structure of the solution set for a vector valued elliptic boundary value problem with a Lipschitz nonlinear term
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Structure of the solution set for a vector valued elliptic boundary value problem with a Lipschitz nonlinear term
چکیده انگلیسی
We consider the boundary value problem with the Dirichlet condition in a Banach space for a semilinear elliptic equation on a bounded domain in Rn whose nonlinear term satisfies the Lipschitz condition. If the Lipschitz constant L is less than λ1, then this problem has a unique solution, where λ1 is the least eigenvalue of the corresponding (real valued) eigenvalue problem. On the other hand, for any L>λ1 we can construct a nonlinear term with the Lipschitz constant L such that the solution set is homeomorphic to any prescribed closed subset of the Banach space.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 61, Issue 4, 15 May 2005, Pages 551-557
نویسندگان
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