An optimization problem with volume constraint in Orlicz spaces
نویسندگان
چکیده
منابع مشابه
An Optimization Problem with Volume Constraint in Orlicz Spaces
We consider the optimization problem of minimizing ∫ Ω G(|∇u|) dx in the class of functions W (Ω), with a constraint on the volume of {u > 0}. The conditions on the function G allow for a different behavior at 0 and at ∞. We consider a penalization problem, and we prove that for small values of the penalization parameter, the constrained volume is attained. In this way we prove that every solut...
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We consider the optimization problem of minimizing R Ω G(|∇u|) dx in the class of functions W (Ω), with a constrain on the volume of {u > 0}. The conditions on the function G allow for a different behavior at 0 and at ∞. We consider a penalization problem, and we prove that for small values of the penalization parameter, the constrained volume is attained. In this way we prove that every soluti...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2008
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.09.061