کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839626 1470481 2015 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sublinear elliptic problems with a Hardy potential
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Sublinear elliptic problems with a Hardy potential
چکیده انگلیسی

In this paper we study the positive solutions of sub linear elliptic equations with a Hardy potential which is singular at the boundary. By means of ODE techniques a fairly complete picture of the class of radial solutions is given. Local solutions with a prescribed growth at the boundary are constructed by means of contraction operators. Some of those radial solutions are then used to construct ordered upper and lower solutions in general domains. By standard iteration arguments the existence of positive solutions is proved. An important tool is the Hardy constant.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 119, June 2015, Pages 149–166
نویسندگان
, ,