کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4610452 | 1338564 | 2014 | 53 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multiplicity of positive and nodal solutions for scalar field equations
ترجمه فارسی عنوان
چندین راه حل مثبت و گره برای معادلات میدان اسکالر
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
In this paper the question of finding infinitely many solutions to the problem −Δu+a(x)u=|u|p−2u−Δu+a(x)u=|u|p−2u, in RNRN, u∈H1(RN)u∈H1(RN), is considered when N≥2N≥2, p∈(2,2N/(N−2))p∈(2,2N/(N−2)), and the potential a(x)a(x) is a positive function which is not required to enjoy symmetry properties. Assuming that a(x)a(x) satisfies a suitable “slow decay at infinity” condition and, moreover, that its graph has some “dips”, we prove that the problem admits either infinitely many nodal solutions or infinitely many constant sign solutions. The proof method is purely variational and allows to describe the shape of the solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 257, Issue 10, 15 November 2014, Pages 3554–3606
Journal: Journal of Differential Equations - Volume 257, Issue 10, 15 November 2014, Pages 3554–3606
نویسندگان
Giovanna Cerami, Riccardo Molle, Donato Passaseo,