Biharmonic Problems with Steklov-type and Farwig Boundary Conditions and their Applications

• The paper investigates biharmonic problems with Steklov-type and Farwig boundary conditions in Lipschitz domains, highlighting their relevance to engineering and technology. • A scattering model is employed to solve these biharmonic problems, with applications in radar imaging, by reducing them to Dirichlet and Neumann problems for the Poisson equation. • The study emphasizes the novelty of considering Steklov-type boundary conditions with a parameter, which are understudied and have significant practical implications. • The work connects to broader research on higher-order elliptic boundary value problems, including positivity, uniqueness, and Hardy inequalities.