Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 58363, 8 pages
We obtain a solution of the quasilinear equation
in , , on . Here the nonlinearity is superlinear at zero, and it is located near infinity between two functions that belong to a class of functions where the
Ambrosetti-Rabinowitz condition is satisfied. More precisely, we consider the class of
functions that are asymptotically homogeneous of index .