Existence, localization and multiplicity of positive solutions for the Dirichlet BVP with <em>Φ</em>-Laplacian


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	Existence, localization and multiplicity of positive solutions for the Dirichlet BVP with Φ-Laplacian


	Fixed Point Theory, Volume 18, No. 1, 2017, 237-246, March 1st, 2017 DOI: 10.24193/fpt-ro.2017.1.20 Authors: Diana-Raluca Herlea Abstract: The aim of this paper is to discuss the existence, localization and multiplicity of positive solutions for the Dirichlet boundary value problem with Φ-Laplacian. Our approach is based on Krasnosel'skiĭ's fixed point theorem in cones and on a weak Harnack type inequality. As concerns the systems, the localization is established by the vector version of Krasnosel'skiĭ's theorem, where the compression-expansion conditions are expressed on components. Key Words and Phrases: Positive solution, Φ-Laplacian, boundary value problem, Krasnosel'skiĭ's fixed point theorem in cones, weak Harnack inequality. 2010 Mathematics Subject Classification: 34B18, 47H10. Published on-line: March 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents