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Mathematical Institute, Czech Academy of Sciences, and Prometheus Publishing House, Praha 1996
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Boundary value problems with composition-type non-linearities in generalized Sobolev spaces

Thomas Runst

Mathematisches Institut, Fakultät für Mathematik und Informatik, Friedrich-Schiller-Universität, Leutragraben 1, 07743 Jena, Germany runst@minet.uni-jena.de

Abstract: The aim of the talk is to describe some results of a recent joint paper with J. Johnsen, Copenhagen. We consider a special class of semilinear elliptic boundary value problems at resonance. The purpose is to study the effects caused by nonlinearities which are generated by bounded smooth functions. For the problem we investigate regularity questions as well as the existence of solutions in the $B^s_{p,q}$ and $F^s_{p,q}$ scales.

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