کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610789 1338585 2012 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the positive radial solutions of a class of singular semilinear elliptic equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the positive radial solutions of a class of singular semilinear elliptic equations
چکیده انگلیسی

In this paper, we consider the following elliptic equationequation(0.1)div(A(|x|)∇u)+B(|x|)up=0in Rn, where p>1p>1, n⩾3n⩾3, A(|x|)>0A(|x|)>0 is differentiable in Rn∖{0}Rn∖{0} and B(|x|)B(|x|) is a given nonnegative Hölder continuous function in Rn∖{0}Rn∖{0}. The asymptotic behavior at infinity and structure of separation property of positive radial solutions with different initial data for (0.1) are discussed. Moreover, the existence and separation property of infinitely many positive solutions for Hardy equation and an equation related to Caffarelli–Kohn–Nirenberg inequality are obtained respectively, as special cases.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 253, Issue 2, 15 July 2012, Pages 481–501
نویسندگان
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