کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5773959 1413538 2017 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Positivity results for indefinite sublinear elliptic problems via a continuity argument
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Positivity results for indefinite sublinear elliptic problems via a continuity argument
چکیده انگلیسی
We establish a positivity property for a class of semilinear elliptic problems involving indefinite sublinear nonlinearities. Namely, we show that any nontrivial nonnegative solution is positive for a class of problems the strong maximum principle does not apply to. Our approach is based on a continuity argument combined with variational techniques, the sub and supersolutions method and some a priori bounds. Both Dirichlet and Neumann homogeneous boundary conditions are considered. As a byproduct, we deduce some existence and uniqueness results. Finally, as an application, we derive some positivity results for indefinite concave-convex type problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 263, Issue 8, 15 October 2017, Pages 4481-4502
نویسندگان
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