کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
840234 | 1470516 | 2013 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Power convexity of a class of elliptic equations involving the Hessian operator in a 3-dimensional bounded convex domain
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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: Power convexity of a class of elliptic equations involving the Hessian operator in a 3-dimensional bounded convex domain Power convexity of a class of elliptic equations involving the Hessian operator in a 3-dimensional bounded convex domain](/preview/png/840234.png)
چکیده انگلیسی
In this paper, we are concerned with power convexity of a class of fully nonlinear elliptic equations involving the Hessian operator in a bounded and strictly convex domain in R3R3. We use the constant rank theorem and deformation technique to prove that some power of the smooth admissible solution is strictly convex. As a corollary, we deduce that all the level sets of the solution are strictly convex.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 84, June 2013, Pages 29–38
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 84, June 2013, Pages 29–38
نویسندگان
Yunhua Ye,