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A multiplicity result for generalized Laplacian systems with multiparameters

✍ Scribed by Eun Kyoung Lee; Yong-Hoon Lee

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
372 KB
Volume
71
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we consider the existence, nonexistence and multiplicity of a positive solution for a Gelfand type generalized Laplacian system with a singular indefinite weight and a vector parameter. By using the upper and lower solution method and fixed point index theory, we obtain a global multiplicity result with respect to the parameter.

πŸ“œ SIMILAR VOLUMES

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In this paper, we study a class of one-dimensional p-Laplacian boundary value problem with generalized Sturm-Liouville boundary conditions. Some results are obtained for existence of at least three positive solutions by using the related fixed point theory. The interesting point is the nonlinear ter