A minimum problem with free boundary in Orlicz spaces
نویسندگان
چکیده
منابع مشابه
A Minimum Problem with Free Boundary in Orlicz Spaces
We consider the optimization problem of minimizing R Ω G(|∇u|) + λχ{u>0} dx in the class of functions W (Ω) with u − φ0 ∈ W 1,G 0 (Ω), for a given φ0 ≥ 0 and bounded. W (Ω) is the class of weakly differentiable functions with R Ω G(|∇u|) dx < ∞. The conditions on the function G allow for a different behavior at 0 and at ∞. We prove that every solution u is locally Lipschitz continuous, that it ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2008
ISSN: 0001-8708
DOI: 10.1016/j.aim.2008.03.028