Note sur la cyclide
The aim of this paper is to study the existence of variational solutions to a nonhomogeneous elliptic equation involving the -Laplacian where , is a bounded smooth domain in , , is a critical nonlinearity in the sense of the Trudinger-Moser inequality and is a small perturbation.
CONTENTS 1. Introduction............................................................................................5 2. Some preliminary definitions..................................................................6 3. Mařík's symmetric difference..................................................................9 4. Basic definitions...................................................................................11 5. Properties of the second symmetric variation for real functions...........15 6....
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