doi:10.1155/2008/279306 Research Article Boundary Blow-Up Solutions to px-Laplacian Equations with Exponential Nonlinearities

This paper investigates the px-Laplacian equations with exponential nonlinearities −pxu efx,u 0 in Ω, ux → ∞ as dx, ∂Ω → 0, where −pxu −div|∇u|px−2∇u is called px-Laplacian. The singularity of boundary blow-up solutions is discussed, and the existence of bound-ary blow-up solutions is given. Copyright q 2008 Qihu Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1