کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9501647 1338765 2005 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Jumping nonlinearities and weighted Sobolev spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Jumping nonlinearities and weighted Sobolev spaces
چکیده انگلیسی
Working in a weighted Sobolev space, a new result involving jumping nonlinearities for a semilinear elliptic boundary value problem in a bounded domain in RN is established. The nonlinear part of the equation is assumed to grow at most linearly and to be at resonance with the first eigenvalue of the linear part on the right. On the left, the nonlinearity crosses over (or jumps over) several higher eigenvalues. Existence is obtained through the use of infinite-dimensional critical point theory in the context of weighted Sobolev spaces and appears to be new even for the standard Dirichlet problem for the Laplacian.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 214, Issue 2, 15 July 2005, Pages 326-357
نویسندگان
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