Oblique Derivative Problems for Elliptic Equations in Conical Domains
Mikhail Borsuk
Broschiertes Buch

Oblique Derivative Problems for Elliptic Equations in Conical Domains

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The aim of our book is the investigation of the behavior of strong and weak solutions to the regular oblique derivative problems for second order elliptic equations, linear and quasi-linear, in the neighborhood of the boundary singularities. The main goal is to establish the precise exponent of the solution decrease rate and under the best possible conditions. The question on the behavior of solutions of elliptic boundary value problems near boundary singularities is of great importance for its many applications, e.g., in hydrodynamics, aerodynamics, fracture mechanics, in the geodesy etc. Onl...