کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5024796 1470447 2017 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Higher integrability for minimizers of asymptotically convex integrals with discontinuous coefficients
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Higher integrability for minimizers of asymptotically convex integrals with discontinuous coefficients
چکیده انگلیسی
We study the local regularity of vectorial minimizers of integral functionals with standard p-growth. We assume that the non-homogeneous densities are uniformly convex and have a radial structure, with respect to the gradient variable, only at infinity. Under a W1,n-Sobolev dependence on the spatial variable of the integrand, n being the space dimension, we show that the minimizers have the gradient locally in Lq for every q>p. As a consequence, they are locally α-Hölder continuous for every α<1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 154, May 2017, Pages 7-24
نویسندگان
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