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Best Possible Estimates of Solutions to the Interface Problem for a Quasi-linear Elliptic Divergence Second Order Equation in a Domain with a Boundary Edge

  • Mikhail Borsuk

摘要

This chapter is devoted to the estimate of weak solutions to the interface problem for elliptic quasi-linear degenerate second order equations. We investigate the behavior of weak solutions of the interface problem with Robin boundary condition for a quasi-linear second order elliptic equation with triple degeneracy and singularity in the coefficients in a neighborhood of the boundary edge.