Jenica Cringanu, Daniel Pasca
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
| Daniel Pasca |
Department of Mathematics and Informatics, University of Oradea
University Street 1, 410087 Oradea, Romania
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