کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610900 1338591 2013 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Elliptic problems involving the fractional Laplacian in RNRN
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Elliptic problems involving the fractional Laplacian in RNRN
چکیده انگلیسی

We study the existence and multiplicity of solutions for elliptic equations in RNRN, driven by a non-local integro-differential operator, which main prototype is the fractional Laplacian. The model under consideration, denoted by (Pλ)(Pλ), depends on a real parameter λ and involves two superlinear nonlinearities, one of which could be critical or even supercritical. The main theorem of the paper establishes the existence of three critical values of λ   which divide the real line in different intervals, where (Pλ)(Pλ) admits no solutions, at least one nontrivial non-negative entire solution and two nontrivial non-negative entire solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 255, Issue 8, 15 October 2013, Pages 2340–2362
نویسندگان
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