Gong-Ming Wei, Yan-Hua Wang
Abstract:
In this paper we study the existence of nontrivial solutions of
elliptic systems with critical nonlinearities and subcritical
nonlinear coupling interactions, under Dirichlet or Neumann
boundary conditions. These equations are motivated from solitary
waves of nonlinear Schrodinger systems in physics. Using minimax
theorem and by estimates on the least energy, we prove the
existence of nonstandard least energy solutions, i.e. solutions with
least energy and each component is nontrivial.
Submitted October 18, 2007. Published April 4, 2008.
Math Subject Classifications: 35B33, 35J50.
Key Words: Least energy solutions; Nehari manifold;
critical exponent; coupled elliptic systems.
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Gong-Ming Wei Tin Ka-Ping College of Science University of Shanghai for Science and Technology Shanghai, 200093, China email: gmweixy@163.com |
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Yan-Hua Wang Department of Applied Mathematics Shanghai University of Finance and Economics Shanghai, 200433, China email: yhw@mail.shufe.edu.cn |
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