Marek Galewski, Dusan Repovs
Abstract:
We provide sufficient conditions for a mapping between two Banach
spaces to be a diffeomorphism using the approach of an auxiliary functional
and also by the aid of a duality mapping corresponding to a normalization
function. We simplify and generalize our previous results. Applications to
algebraic equations and to integro-differential systems are also given.
Published September 15, 2018.
Math Subject Classifications: 57R50, 58E05.
Key Words: Global diffeomorphism; local diffeomorphism; algebraic equation;
mountain pass lemma; integro-differential system.
Show me the PDF file (269 K), TEX and other files for this article.
 |
Marek Galewski Institute of Mathematics Lodz University of Technology Wolczanska 215, 90-024 Lodz, Poland email: marek.galewski@p.lodz.pl |
|---|---|
 |
Dusan Repovs Faculty of Education and Faculty of Mathematics and Physics University of Ljubljana SI-1000, Slovenia email: dusan.repovs@guest.arnes.si |
Return to the table of contents
for this conference.
Return to the EJDE web page