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, Volume 43, Issue 1, pp 73–83 | Cite as

On the obstacle problem with a volume constraint

  • Goswin Eisen


We show that the solutions u∈K of
$$\mathop \smallint \limits_\Omega \nabla u\nabla (u - v)dx \leqq 0forallv\varepsilon K$$
are of class Co,α (Ω) or Co,α (Ω), if the obstacles have this property. The same fact is true for systems of variational inequalities with constant coefficients, when there are no obstacles.


Variational Inequality Number Theory Algebraic Geometry Topological Group Constant Coefficient 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Goswin Eisen
    • 1
  1. 1.Mathematisches InstitutUniversität BonnBonn 1BRD

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