کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840084 1470507 2013 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hardy-type inequalities derived from pp-harmonic problems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Hardy-type inequalities derived from pp-harmonic problems
چکیده انگلیسی

We consider the anti-coercive partial differential inequality of elliptic type involving pp-Laplacian: −Δpu≥Φ−Δpu≥Φ, where ΦΦ is a given locally integrable function and uu is defined on an open subset Ω⊆RnΩ⊆Rn. Knowing solutions, we derive Caccioppoli inequalities for uu. As a direct consequence we obtain Hardy inequalities involving certain measures for compactly supported Lipschitz functions. Our methods allow to retrieve classical Hardy inequalities with optimal constants. We present several applications leading to various weighted Hardy inequalities.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 93, December 2013, Pages 30–50
نویسندگان
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