We consider anisotropic variational integrals of (p,q)-growth and prove for the scalar case interior C^{1,\alpha}-regularity of bounded local minimizers under the assumption that q\leq2p by the way discussing a famous counterexample of Giaquinta. In the vector case we obtain some higher integrability result for the gradient
summary:We prove higher integrability for the gradient of bounded minimizers of some variational int...
We prove a $C^{k,\alpha}$ partial regularity result for local minimizers of variational integrals o...
We study local minimizers of anisotropic variational integrals of the form J[u]=\int_{\Omega...
Starting from Giaquinta's counterexample [Gi] we introduce the class of splitting functionals being ...
We consider local minimizers u:\mathbb{R}^{n}\supset\Omega\rightarrow\mathbb{R}^...
We combine a maximum principle for vector-valued mappings established by D’Ottavio, Leonetti and Mus...
We prove a partial regularity result for local minimizers u : \mathbb{R}^{n}\supset\Omeg...
We consider variational integrals whose energy densities are represented by N-functions h of at leas...
We consider local minimizers u:\mathbb{R}^{n}\supset\Omega\rightarrow\mathbb{R}^...
We mainly discuss superquadratic minimization problems for splitting-type variational integrals on a...
summary:We prove higher integrability for minimizers of some integrals of the calculus of variations...
Abstract. We prove a partial regularity result for local minimizers u: Rn ⊃ Ω → RM of the variationa...
summary:We consider local minimizers $u : \Bbb R^2\supset \Omega \to \Bbb R^N$ of variational integr...
We consider strictly convex energy densities f:\mathbb{R}^{nN}\rightarrow\mathbb{R},f(Z)...
none3noIt is well known that an integral of the Calculus of Variations satisfying anisotropic growth...
summary:We prove higher integrability for the gradient of bounded minimizers of some variational int...
We prove a $C^{k,\alpha}$ partial regularity result for local minimizers of variational integrals o...
We study local minimizers of anisotropic variational integrals of the form J[u]=\int_{\Omega...
Starting from Giaquinta's counterexample [Gi] we introduce the class of splitting functionals being ...
We consider local minimizers u:\mathbb{R}^{n}\supset\Omega\rightarrow\mathbb{R}^...
We combine a maximum principle for vector-valued mappings established by D’Ottavio, Leonetti and Mus...
We prove a partial regularity result for local minimizers u : \mathbb{R}^{n}\supset\Omeg...
We consider variational integrals whose energy densities are represented by N-functions h of at leas...
We consider local minimizers u:\mathbb{R}^{n}\supset\Omega\rightarrow\mathbb{R}^...
We mainly discuss superquadratic minimization problems for splitting-type variational integrals on a...
summary:We prove higher integrability for minimizers of some integrals of the calculus of variations...
Abstract. We prove a partial regularity result for local minimizers u: Rn ⊃ Ω → RM of the variationa...
summary:We consider local minimizers $u : \Bbb R^2\supset \Omega \to \Bbb R^N$ of variational integr...
We consider strictly convex energy densities f:\mathbb{R}^{nN}\rightarrow\mathbb{R},f(Z)...
none3noIt is well known that an integral of the Calculus of Variations satisfying anisotropic growth...
summary:We prove higher integrability for the gradient of bounded minimizers of some variational int...
We prove a $C^{k,\alpha}$ partial regularity result for local minimizers of variational integrals o...
We study local minimizers of anisotropic variational integrals of the form J[u]=\int_{\Omega...
DOI
Add to ORKG