Weak solutions for the singular potential wave system
1 Department of Mathematics, Kunsan National University, Kunsan, 573-701, Korea
2 Department of Mathematics Education, Inha University, Incheon, 402-751, Korea
Boundary Value Problems 2014, 2014:7 doi:10.1186/1687-2770-2014-7Published: 7 January 2014
We investigate the existence of weak solutions for a class of the system of wave equations with singular potential nonlinearity. We obtain a theorem which shows the existence of nontrivial weak solution for a class of the wave system with singular potential nonlinearity and the Dirichlet boundary condition. We obtain this result by using the variational method and critical point theory for indefinite functional.
MSC: 35L51, 35L70.