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Gradient regularity for a class of elliptic obstacle problems

open access: yes
We prove some regularity results for a priori bounded local minimizers of non-autonomous integral functionals of the form $$\mathcal{F}(v,Ω)=\int_ΩF(x,Dv)dx,$$ under the constraint $v \ge ψ$ a.e. in $Ω$, where $ψ$ is a fixed obstacle function.
Giova, Raffaella   +2 more
core  

Bounded solutions of unilateral problems for strongly nonlinear equations in Orlicz spaces [PDF]

open access: yes, 2013
Benkirane, Abdelmoujib   +2 more
core  

Non-linear elliptic unilateral problems in Musielak-Orlicz spaces with L1 data

open access: yes
Adams   +21 more
core   +1 more source
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Learning Consistent Discretizations of the Total Variation

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