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
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
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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
Journal: Journal of Differential Equations - Volume 255, Issue 8, 15 October 2013, Pages 2340–2362
نویسندگان
Giuseppina Autuori, Patrizia Pucci,