Advanced Search
Article Contents
Article Contents

Regularity of the extremal solution for a biharmonic problem with general nonlinearity

Abstract Related Papers Cited by
  • We consider the class of radial solutions of semilinear equations $\Delta^2 u=\lambda f(u)$ in the unit ball of $\mathbb R^N$. It is the class of stable solutions which includes minimal solutions and extremal solution. We establish the regularity of this extremal solution for $N\leq 9$. Our regularity results do not depend on the specific nonlinearity $f$.
    Mathematics Subject Classification: Primary: 31B30; Secondary: 74B0.


    \begin{equation} \\ \end{equation}
  • 加载中

Article Metrics

HTML views() PDF downloads(88) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint