کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616041 1339336 2014 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
p-Laplacian boundary value problems on exterior regions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
p-Laplacian boundary value problems on exterior regions
چکیده انگلیسی

This paper treats some variational principles for solutions of inhomogeneous p  -Laplacian boundary value problems on exterior regions U⊊RNU⊊RN with dimension N⩾3N⩾3. Existence-uniqueness results when p∈(1,N)p∈(1,N) are provided in a space E1,p(U)E1,p(U) of functions that contains W1,p(U)W1,p(U). Functions in E1,p(U)E1,p(U) are required to decay at infinity in a measure theoretic sense. Various properties of this space are derived, including results about equivalent norms, traces and an LpLp-imbedding theorem. Also an existence result for a general variational problem of this type is obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 417, Issue 1, 1 September 2014, Pages 260–271
نویسندگان
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