Estimates for the Lq-mixed problem in C1,1-domains

R. M. Brown, L. D. Croyle

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We consider the (Formula presented.) -mixed problem in domains in (Formula presented.) with (Formula presented.) -boundary. We assume that the boundary between the sets where we specify Neumann and Dirichlet data is Lipschitz. With these assumptions, we show that we may solve the (Formula presented.) -mixed problem for q in the range (Formula presented.).

Original languageEnglish
Pages (from-to)181-193
Number of pages13
JournalComplex Variables and Elliptic Equations
Issue number2
StatePublished - 2021

Bibliographical note

Publisher Copyright:
© 2020 Informa UK Limited, trading as Taylor & Francis Group.


  • 35J25
  • Besov spaces
  • Laplace's equation
  • Mixed boundary value problem
  • Zaremba's problem
  • harmonic analysis

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics


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