Partial regularity for anisotropic functionals of higher order
We prove a partial regularity result for local minimizers of variational integrals of the type , assuming that the integrand f satisfies (p,q) growth conditions.
We prove a partial regularity result for local minimizers of variational integrals of the type , assuming that the integrand f satisfies (p,q) growth conditions.
We consider higher order functionals of the form where the integrand , m≥ 1 is strictly quasiconvex and satisfies a non-standard growth condition. More precisely we assume that f fulfills the (p, q)-growth condition with γ, L > 0 and . We study minimizers of the functional and prove a partial -regularity result.
We consider higher order functionals of the form where the integrand , m≥ 1 is strictly quasiconvex and satisfies a non-standard growth condition. More precisely we assume that f fulfills the (p, q)-growth condition with γ, L > 0 and . We study minimizers of the functional and prove a partial -regularity result.