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A UNIFIED APPROACH TO SOLVABILITY CONDITIONS FOR NONLINEAR SECOND-ORDER ELLIPTIC EQUATIONS AT RESONANCE

Published online by Cambridge University Press:  01 July 1999

THOMAS RUNST
THOMAS RUNST
Affiliation:
Friedrich–Schiller-Universität Jena, Fakultät für Mathematik und Informatik, Ernst–Abbe-Platz 1–4, D-07743 Jena, Germany
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Abstract

It is shown that known solvability conditions and several new existence results for semilinear elliptic boundary value problems at resonance can be considered from a unified point of view. The proofs apply Leray–Schauder degree arguments.

Type
SURVEY
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 4 , July 1999 , pp. 385 - 414
Copyright
© The London Mathematical Society 1999

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