Lp-theory of Venttsel BVPs with discontinuous data

Authors

DOI:

https://doi.org/10.1478/AAPP.98S2A1

Keywords:

Second order elliptic equations, Venttsel problem, VMO, A priori estimates, Maximal regularity

Abstract

We provide W2,p-a priori estimates for the strong solutions to Venttsel boundary value problems for linear elliptic operators with discontinuous coefficients.

Author Biographies

  • Darya E. Apushkinskaya, Saarland University
    Peoples' Friendship University of Russia (RUDN University), Moscow, Russia; Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia
  • Alexander I. Nazarov, St. Petersburg State University
    PDMI RAS
  • Dian K. Palagachev, Politecnico di Bari
    Dipartimento di Meccanica, Matematica e Management
  • Lubomira G. Softova, University of Salerno
    Dipartimento di Matematica

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Published

2020-12-13

Issue

Vol 98, SUPPL NO 2 (2020): VA.PDE.ME.19

Section

Variational Analysis, PDEs and Mathematical Economics (Conference Proceedings)

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