The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization
نویسندگان
چکیده
We consider the Steklov problem for the linear biharmonic equation. We survey existing results for the positivity preserving property to hold. These are connected with the first Steklov eigenvalue. We address the problem of minimizing this eigenvalue among suitable classes of domains. We prove the existence of an optimal convex domain of fixed measure. Mathematics Subject Classification (2000). Primary 35P15; Secondary 35J40.
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