TY  - BOOK
AU  - Borsuk,Mikhail
ED  - SpringerLink (Online service)
TI  - Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains
T2  - Frontiers in Mathematics,
SN  - 9783031640919
AV  - QA370-380 
PY  - 2024///
CY  - Cham
PB  - Springer Nature Switzerland, Imprint: Birkhäuser
KW  - Differential equations
KW  - Functional analysis
KW  - Differential Equations
KW  - Functional Analysis
N1  - - 1. Preliminaries -- 2. Eigenvalue Problem and Integro-Differential Inequalities -- 3. Best Possible Estimates of Solutions to the Interface Problem for Linear Elliptic Divergence Second Order Equations in a Conical Domain -- 4. Interface Problem for the Laplace Operator with N Different Media -- 5. Interface Problem for Weak Quasi-Linear Elliptic Equations in a Conical Domain -- 6. Interface Problem for Strong Quasi-Linear Elliptic Equations in a Conical Domain -- 7. 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 -- 8. Interface Oblique Derivative Problem for Perturbed p(x)-Laplacian Equation in a Bounded n− Dimensional Cone -- 9. Existence of Bounded Weak Solutions
N2  - 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
UR  - https://doi.org/10.1007/978-3-031-64091-9
ER  -