Jenica Cringanu, Daniel Pasca
Abstract:
The aim of this paper is to obtain solutions for the equation
where
is the duality mapping on a product of two real,
reflexive and smooth Banach spaces
,
corresponding to the
gauge functions
,
,
,
being the Nemytskii operator generated by
the Caratheodory functions f,g which satisfies some appropriate
conditions.
To prove the existence solutions we use a topological method via
Leray-Schauder degree.
As applications, we obtained in a unitary manner some existence results
for Dirichlet and Neumann problems for systems with (q,p)-Laplacian,
with (q,p)-pseudo-Laplacian or with
-Laplacian.
Submitted July 31, 2012. Published January 27, 2013.
Math Subject Classifications: 58C15, 35J20, 35J60, 35J65.
Key Words: Duality mapping; Leray-Schauder degree; (q,p)-Laplacian.
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Jenica Cringanu Department of Mathematics, University of Galati Str. Domneasca 47, Galati, Romania email: jcringanu@ugal.ro | |
Daniel Pasca Department of Mathematics and Informatics, University of Oradea University Street 1, 410087 Oradea, Romania email: dpasca@uoradea.ro |
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