Abstract
We consider the mixed biharmonic problem with the Steklov–Neumann boundary conditions with parameters in the exterior of a compact set under the assumption that the generalized solutions of this problem have a bounded weighted Dirichlet integral. Using the variational principle, uniqueness (non-uniqueness) theorems are obtained, as well as exact formulas for calculating the dimension of the space of solutions depending on the value of the parameter included in the weighted Dirichlet integral.
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Matevossian, H.A. Steklov–Neumann Biharmonic Problem in Weighted Spaces. Lobachevskii J Math 44, 5341–5354 (2023). https://doi.org/10.1134/S1995080223120247
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DOI: https://doi.org/10.1134/S1995080223120247