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Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains

Mikhail Borsuk

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Springer Nature Switzerland img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis

Beschreibung

The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth Domains (Birkhäuser, 2010), this volume includes two entirely new chapters: one about the oblique derivative problems for the perturbed p(x)-Laplacian equation in a bounded n-dimensional cone, and another about the existence of bounded weak solutions.

Researchers and advanced graduate students will appreciate this compact compilation of new material in the field.

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Schlagwörter

Interface Problems, Linear and Quasi-linear Equations, Partial Differential Equations, Boundary Value Problem, Non-Smooth Domains with Angular and Conic points or Edges, Elliptic Equations, p - and p(x) - Laplace Operator