@article{oai:ynu.repo.nii.ac.jp:00006935, author = {Park, Jong Yeoul and Bae, Jeong Ja}, issue = {2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, Let $¥Omega$ be a bounded domain in $¥mathbb{R}^{N}$ with smooth boundary $¥Gamma,$ $T$ is a positive real number, $¥rho$ : $[0, T]¥times¥overline{¥Omega}¥rightarrow ¥mathbb{R}$ is a real function. In this paper, we consider the existence of solutions for the following nonlinear unilateral problem: $¥rho(t, x)u_{tt}(t, x)-||¥nabla u(t,x)||_{2}^{2¥gamma}¥Delta u(t, x)¥geq|u(t, x)|^{¥alpha}u(t,x)$ on $[0, T]¥times¥Omega$ , $u(t, x)=0$ on $¥sum=[0, T]¥times¥Gamma$ , $u(0, x)=u_{0}(x),$ $u_{t}(0, x)=u_{1}(x)$ on $¥Omega$ , where $¥Delta$ is the Laplacian in $¥mathbb{R}^{N},$ $¥alpha>0$ and $¥gamma¥geq 1$ .}, pages = {161--177}, title = {ON EXISTENCE OF SOLUTIONS FOR THE UNILATERAL PROBLEM ASSOCIATED TO THE DEGENERATE KIRCHHOFF EQUATIONS}, volume = {46}, year = {1999} }