\`x^2+y_1+z_12^34\`
Advanced Search
Article Contents
Article Contents

Nonexistence of weak solutions of quasilinear elliptic equations with variable coefficients

Abstract Related Papers Cited by
  • In this paper, we are concerned with the following quasilinear elliptic equations:

    -div${a(x)|\nabla u|^{p-2}\nabla u$  $=b(x)|u|^(q-2)u $     in $\Omega$
    $u(x)$   $= 0$ on $\partial\Omega$

    where $\Omega$ is a domain in $\mathbf R^N$ $(N \ge 1)$ with smooth boundary.
          When $a$ and $b$ are positive constants, there are many results on the nonexistence of nontrivial solutions for the equation (E).     The main purpose of this paper is to discuss the nonexistence results for (E) with a class of weak solutions under some assumptions on $a$ and $b$.

    Mathematics Subject Classification: Primary: 35J25; Secondary: 35J20, 35J70.

    Citation:

    \begin{equation} \\ \end{equation}
  • 加载中
Open Access Under a Creative Commons license
SHARE

Article Metrics

HTML views() PDF downloads(69) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return