Critical Point Theory Applied to a Class of the Systems of the Superquadratic Wave Equations

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作者
Tacksun Jung
Q-Heung Choi
机构
[1] Kunsan National University,Department of Mathematics
[2] Inha University,Department of Mathematics Education
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Boundary Condition; Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Wave Equation;
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摘要
We show the existence of a nontrivial solution for a class of the systems of the superquadratic nonlinear wave equations with Dirichlet boundary conditions and periodic conditions with a superquadratic nonlinear terms at infinity which have continuous derivatives. We approach the variational method and use the critical point theory which is the Linking Theorem for the strongly indefinite corresponding functional.
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