Weak solution for a class of the square growth nonlinear elliptic systems
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This paper is devoted to investigate existence of nontrivial weak solutions for a class of nonlinear elliptic systems with Dirichlet boundary condition. We get a theorem which shows existence of at least one nontrivial solutions for a class of square growth nonlinear elliptic systems. We obtain this result by combining critical point theory and topological methods. Among the topological methods we use generalized mountain pass theorem.
Abstract
This paper is devoted to investigate existence of nontrivial weak solutions for a class of nonlinear elliptic systems with Dirichlet boundary condition. We get a theorem which shows existence of at least one nontrivial solutions for a class of square growth nonlinear elliptic systems. We obtain this result by combining critical point theory and topological methods. Among the topological methods we use generalized mountain pass theorem.
참고문헌 (6)
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