Multiplicity Results for Second Order Non-Autonomous Singular Dirichlet Systems

• Autores: Jifeng Chu, Donal O'Regan
• Localización: Acta applicandae mathematicae, ISSN 0167-8019, Vol. 105, Nº. 3, 2009, págs. 323-338
• Idioma: inglés
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• Resumen

  • In this paper, we establish multiplicity results for second order non-autonomous singular Dirichlet systems. The proof is based on a well-known fixed point theorem in cones, and an existence principle proved in Agarwal and O�Regan (J. Differ. Equ. 175:393�414, 2001), which was established using a nonlinear alternative of Leray-Schauder type. Truncation techniques play an important role in the analysis. Some recent results in the literature are generalized and improved.