Geodesic
Mixed Dirichlet--Steklov problem for the biharmonic equation in weighted spaces
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 31 (2016) no. 31, pp. 87-109

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We address the uniqueness of weak solutions of the mixed Dirichlet–Steklov problem for the biharmonic equation in the exterior of a compact set in the class of functions having a finite Dirichlet integral with the weight $|x|^a$. Depending on the parameter $a$, we establish some uniqueness theorems and obtain precise formulas for the dimension of the space of solutions. 
@article{TSP_2016_31_31_a4,
     author = {H. A. Matevossian},
     title = {Mixed {Dirichlet--Steklov} problem for the biharmonic equation in weighted spaces},
     journal = {Trudy Seminara im. I.G. Petrovskogo},
     pages = {87--109},
     publisher = {mathdoc},
     volume = {31},
     number = {31},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TSP_2016_31_31_a4/}
}
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H. A. Matevossian. Mixed Dirichlet--Steklov problem for the biharmonic equation in weighted spaces. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 31 (2016) no. 31, pp. 87-109. http://geodesic.mathdoc.fr/item/TSP_2016_31_31_a4/