کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
841616 | 908515 | 2010 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Superlinear elliptic equations with singular coefficients on the boundary
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Superlinear elliptic equations with singular coefficients on the boundary Superlinear elliptic equations with singular coefficients on the boundary](/preview/png/841616.png)
چکیده انگلیسی
In this paper, a superlinear elliptic equation whose coefficient diverges on the boundary is studied in any bounded domain ΩΩ under the zero Dirichlet boundary condition. Although the equation has a singularity on the boundary, a solution is smooth on the closure of the domain. Indeed, it is proved that the problem has a positive solution and infinitely many solutions without positivity, which belong to C1(Ω¯) or C2(Ω¯). Moreover, it is proved that a positive solution has a higher order regularity up to C∞(Ω¯).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 73, Issue 7, 1 October 2010, Pages 2117–2131
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 73, Issue 7, 1 October 2010, Pages 2117–2131
نویسندگان
Ryuji Kajikiya,