03742nam 22006855 450 991090017230332120260121110409.03-031-64091-810.1007/978-3-031-64091-9(MiAaPQ)EBC31741959(Au-PeEL)EBL31741959(CKB)36410322500041(DE-He213)978-3-031-64091-9(EXLCZ)993641032250004120241027d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierInterface Problems for Elliptic Second-Order Equations in Non-Smooth Domains /by Mikhail Borsuk2nd ed. 2024.Cham :Springer Nature Switzerland :Imprint: Birkhäuser,2024.1 online resource (337 pages)Frontiers in Mathematics,1660-80543-031-64090-X Includes bibliographical references and index.- 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.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.Frontiers in Mathematics,1660-8054Differential equationsFunctional analysisDifferential EquationsFunctional AnalysisCàlcul diferencialthubSeccions còniquesthubEquacions diferencials el·líptiquesthubParàbolesthubEl·lipsithubEquacions en derivades parcialsthubLlibres electrònicsthubDifferential equations.Functional analysis.Differential Equations.Functional Analysis.Càlcul diferencialSeccions còniquesEquacions diferencials el·líptiquesParàbolesEl·lipsiEquacions en derivades parcials516.15Borsuk Mikhail499916MiAaPQMiAaPQMiAaPQBOOK9910900172303321Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains4214036UNINA