This paper investigates the following -Laplacian equations with exponential nonlinearities: in , as , where is called -Laplacian, . The asymptotic behavior of boundary blow-up solutions is discussed, and the existence of boundary blow-up solutions is given.
Li Yin. Yunrui Guo. Jing Yang. Bibo Lu. Qihu Zhang. "Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted -Laplacian Equations with Exponential Nonlinearities." Abstr. Appl. Anal. 2010 1 - 20, 2010. https://doi.org/10.1155/2010/971268