کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6419265 | 1339390 | 2012 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Mountain Pass solutions for non-local elliptic operators
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Mountain Pass solutions for non-local elliptic operators Mountain Pass solutions for non-local elliptic operators](/preview/png/6419265.png)
چکیده انگلیسی
The purpose of this paper is to study the existence of solutions for equations driven by a non-local integrodifferential operator with homogeneous Dirichlet boundary conditions. These equations have a variational structure and we find a non-trivial solution for them using the Mountain Pass Theorem. To make the nonlinear methods work, some careful analysis of the fractional spaces involved is necessary. We prove this result for a general integrodifferential operator of fractional type and, as a particular case, we derive an existence theorem for the fractional Laplacian, finding non-trivial solutions of the equation{(âÎ)su=f(x,u)in Ω,u=0in RnâΩ. As far as we know, all these results are new.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 389, Issue 2, 15 May 2012, Pages 887-898
Journal: Journal of Mathematical Analysis and Applications - Volume 389, Issue 2, 15 May 2012, Pages 887-898
نویسندگان
Raffaella Servadei, Enrico Valdinoci,