Existence and multiplicity of positive solutions for a class of semilinear elliptic system with nonlinear boundary conditions

Journal of Linear and Topological Algebra

مقاله 1، دوره 05، شماره 01، اردیبهشت 2016، صفحه 1-13   

نوع مقاله: Research Paper

نویسندگان

F. M. Yaghoobi^{* 1}؛ J. Shamshiri²

¹Department of Mathemetics, College of Science, Hamedan Branch, Islamic Azad University, Hamedan, Iran

²Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

چکیده

This study concerns the existence and multiplicity of positive weak solutions for a class of semilinear elliptic systems with nonlinear boundary conditions. Our results is depending on the local minimization method on the Nehari manifold and some variational techniques. Also, by using Mountain Pass Lemma, we establish the existence of at least one solution with positive energy.

کلیدواژه‌ها

Critical point؛ Semilinear elliptic system؛ Nonlinear boundary value problem؛ Fibering map؛ Nehari manifold

مراجع

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