Title of article :
Existence and multiplicity of positive solutions for a class of semilinear elliptic system with nonlinear boundary conditions
Author/Authors :
Yaghoobi, F. M. Department of Mathemetics - College of Science - Islamic Azad University, Hamedan Branch , Shamshiri, J. Department of Mathematics - Islamic Azad University, Mashhad Branch
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.
Keywords :
Critical point , semilinear elliptic system , nonlinear boundary value problem , Fibering map , Nehari manifold
Journal title :
Astroparticle Physics
