کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844582 908600 2007 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generalized solutions of curvature equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Generalized solutions of curvature equations
چکیده انگلیسی

We introduce a notion of “generalized solutions” for the so-called curvature equations. It is an extension of the definition of generalized solutions of the Gauss curvature equation and gives a new framework for the study of more general curvature equations. We prove that if the curvature equation has a convex solution, then the inhomogeneous term must be a Borel measure. We also discuss basic properties of generalized solutions. Among other things, we show that our class of generalized solutions is wider than that of weak solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 4, 15 August 2007, Pages 1275–1287
نویسندگان
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