Add to ORKGWe establish local higher integrability and differentiability results for minimizers of variational integrals $(V,ω)= lωF(Dv(x))dx over W1-p-Sobolev mappings v:ω⊂Rn→RN satisfying a Dirichlet boundary condition. The integrands F are assumed to be autonomous, convex and of (p, q) growth, but are otherwise not subjected to any further structure conditions, and we consider exponents in the range 1 < p < q < p∗, where p∗ denotes the Sobolev conjugate exponent of p
AbstractWe consider almost respectively strong almost minimizers to quasi-convex variational integra...
Abstract. We prove a partial regularity result for local minimizers u: Rn ⊃ Ω → RM of the variationa...
We prove global Lipschitz regularity for a wide class of convex variational integrals among all fun...
We establish local higher integrability and differentiability results for minimizers of variational ...
In this paper we consider integral functionals of the formF(v,Ω)= ∫ΩF(Dv(x))dx with convex integrand...
We study the local regularity of vectorial minimizers of integral functionals with standard p-growth...
We establish an ε -regularity result for the derivative of a map of bounded variation that minimiz...
We establish an ε -regularity result for the derivative of a map of bounded variation that minimiz...
We prove partial Hölder continuity, for the gradient of minimizers u ∈ W 1,p(,RN), ⊂ Rn a bounded...
We prove higher summability for the gradient of minimizers of strongly convex integral functionals o...
We establish the higher differentiability and the higher integrability for the gradient of vectorial...
We establish the higher differentiability and the higher integrability for the gradient of vectorial...
We establish the first Sobolev regularity and uniqueness results for minimisers of autonomous, conve...
We prove higher summability for the gradient of minimizers of strongly convex integral functionals o...
The author proves partial regularity for vector-valued minimizers u of the variational integral #int...
AbstractWe consider almost respectively strong almost minimizers to quasi-convex variational integra...
Abstract. We prove a partial regularity result for local minimizers u: Rn ⊃ Ω → RM of the variationa...
We prove global Lipschitz regularity for a wide class of convex variational integrals among all fun...
We establish local higher integrability and differentiability results for minimizers of variational ...
In this paper we consider integral functionals of the formF(v,Ω)= ∫ΩF(Dv(x))dx with convex integrand...
We study the local regularity of vectorial minimizers of integral functionals with standard p-growth...
We establish an ε -regularity result for the derivative of a map of bounded variation that minimiz...
We establish an ε -regularity result for the derivative of a map of bounded variation that minimiz...
We prove partial Hölder continuity, for the gradient of minimizers u ∈ W 1,p(,RN), ⊂ Rn a bounded...
We prove higher summability for the gradient of minimizers of strongly convex integral functionals o...
We establish the higher differentiability and the higher integrability for the gradient of vectorial...
We establish the higher differentiability and the higher integrability for the gradient of vectorial...
We establish the first Sobolev regularity and uniqueness results for minimisers of autonomous, conve...
We prove higher summability for the gradient of minimizers of strongly convex integral functionals o...
The author proves partial regularity for vector-valued minimizers u of the variational integral #int...
AbstractWe consider almost respectively strong almost minimizers to quasi-convex variational integra...
Abstract. We prove a partial regularity result for local minimizers u: Rn ⊃ Ω → RM of the variationa...
We prove global Lipschitz regularity for a wide class of convex variational integrals among all fun...