Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 54, pp. 1-8.

Title: Nonexistence of solutions for quasilinear elliptic equations
       with p-growth in the gradient 

Author: Darko Zubrinic (Faculty of Electrical Engineering and Computing, Croatia)
         
Abstract: 
  We study the nonexistence of weak solutions in
  $W^{1,p}_{{\rm loc}}(\Omega)$ for a class of quasilinear elliptic
  boundary-value problems with natural growth in the gradient.
  Nonsolvability conditions involve general domains with possible
  singularities of the right-hand side.
  In particular, we show that if the data on the right-hand
  side are sufficiently large, or if inner radius of $\Omega$ is large,
  then there are no weak solutions.
   
  
Submitted April 17, 2002. Published June 11, 2002.
Math Subject Classifications: 35J25, 35J60, 45J05.
Key Words: Quasilinear elliptic; existence; nonexistence;
           geometry of domains.