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math.AP2021
Asymptotic analysis of harmonic functions in singular domains with inhomogenous Robin boundary conditions
Aaron Pim, Kirill Cherednichenko, Jey Sivaloganathan
In 1991, Vladimir Maz'ya, Serguei Nazarov and Boris Plamenevskij developed the theory of compound asymptotics for elliptic boundary value problems in singularly perturbed domains.…
math.AP2020
Cavitation of a spherical body under mechanical and self gravitational forces
Pablo V. Negrón-Marrero, Jeyabal Sivaloganathan
In this paper we look for minimizers of the energy functional for isotropic compressible elasticity taking into consideration the effect of a gravitational field induced by the bod…