1,720,972 research outputs found
Integrability for solutions to some anisotropic elliptic equations
No full textWe consider an anisotropic elliptic equation with prescribed boundary values u*.
We show that higher integrability of the boundary datum u* forces solutions u to have
higher integrability as well
Full C1, α-regularity for minimizers of integral functionals with L log L-growth
No full textWe consider the integral functional with nearly-linear growth int;Ω |Du| log(1+|Du|)dx where u : Ω ⊂ Rn → RN (n ≥ 2, N ≥ 1) and we prove that any local minimizer u has locally Hölder continuous gradient in the interior of Ω thus excluding the presence of singular sets in Ω. This functional has recently been considered by several authors in connection with variational models for problems from the theory of plasticity with logarithmic hardening. We also give extensions of this result to more general cases. © Heldermann Verlag
Global integrability for minimizers of anisotropic functionals
No full textWe consider integral functionals in which the density has growth p_i with respect
to ∂u/∂x_i.
We show that higher integrability of the boundary datum forces minimizer to be more integrable
Bounds for vector valued minimizers of some integral functionals
No full textWe deal with maps minimizing variational integrals. Under suitable assumptions on the densities, we prove upper and lower bounds for every component of the minimizer
Maximum principle for vector valued minimizers
No full textWe prove maximum principle for vector valued minimizers of some integral functionals. The main assumption on the density is a kind of "monotonicity".
We also consider relaxed functionals
Integrability for vector-valued minimizers of some variational integrals
No full textWe prove that the higher integrability of the data improves on
the integrability of minimizers u of some functionals F
Everywhere regularity for a class of vectorial functionals under subquadratic general growth conditions
No full textWe prove local lipschitz continuity for vector valued minimizers of some integral functionals with subquadratic growth
Gradient regularity for minimizers of functionals under p-q subquadratic growth
No full textWe prove higher integrability of the gradient for minimizers of functional with p-q subquadratic growth
Modificazioni dei parametri di funzionalità respiratoria dopo areosol di amiloride in 21 pazienti con fibrosi cistica.
No full textEfficacia del D.S.C.G. sulla broncoostruzione da sforzo: confronto tra i singoli parametri spirometrici.
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