Variational integrals of splitting-type: higher integrability under general growth conditions

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Higher integrability of the gradient for vectorial minimizers of decomposable variational integrals

We consider local minimizers u: Rn ⊃ Ω → RN of variational integrals I[u] := ∫ Ω F (∇u) dx, where F is of anisotropic (p, q)-growth with exponents 1 < p ≤ q < ∞. If F is in a certain sense decomposable, we show that the dimensionless restriction q ≤ 2p+2 together with the local boundedness of u implies local integrability of ∇u for all exponents t ≤ p+2. More precisely, the initial exponents fo...

متن کامل

Differentiability and higher integrability results for local minimizers of splitting-type variational integrals in 2D with applications to nonlinear Hencky-materials

We prove higher integrability and differentiability results for local minimizers u: R2 ⊃ Ω → RM , M ≥ 1, of the splitting-type energy Ω[h1(|∂1u|) + h2(|∂2u|)] dx. Here h1, h2 are rather general N -functions and no relation between h1 and h2 is required. The methods also apply to local minimizers u: R2 ⊃ Ω → R2 of the functional ∫ Ω[h1(|div u|) + h2(|ε(u)|)] dx so that we can include some varian...

متن کامل

Interior gradient bounds for local minimizers of variational integrals under nonstandard growth conditions

Inspired by the work of Marcellini and Papi [MP] we consider local minima u: R n ⊃ Ω → RM of variational integrals of the form ∫ Ω h(|∇u|) dx and prove interior gradient bounds under rather general assumptions on h working with the additional hypothesis that u is locally bounded. Our requirements imposed on the density h do not involve the dimension n.

متن کامل

Partial Regularity For Higher Order Variational Problems Under Anisotropic Growth Conditions

We prove a partial regularity result for local minimizers u : Rn ⊃ Ω → RM of the variational integral J(u,Ω) = ∫ Ω f(∇ku) dx, where k is any integer and f is a strictly convex integrand of anisotropic (p, q)–growth with exponents satisfying the condition q < p(1 + 2 n). This is some extension of the regularity theorem obtained in [BF2] for the case n = 2.

متن کامل

General Minkowski type and related inequalities for seminormed fuzzy integrals

Minkowski type inequalities for the seminormed fuzzy integrals on abstract spaces are studied in a rather general form. Also related inequalities to Minkowski type inequality for the seminormed fuzzy integrals on abstract spaces are studied. Several examples are given to illustrate the validity of theorems. Some results on Chebyshev and Minkowski type inequalities are obtained.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Annali di Matematica Pura ed Applicata

سال: 2008

ISSN: 0373-3114,1618-1891

DOI: 10.1007/s10231-008-0085-2