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

Authors

  • F. M. Yaghoobi Department of Mathemetics, College of Science, Hamedan Branch, Islamic Azad University, Hamedan, Iran
  • J. Shamshiri Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Abstract:

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.

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Journal title

volume 05  issue 01

pages  1- 13

publication date 2016-06-01

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