We study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for a --Laplacian equation. Under suitable assumptions for and , we should prove that for sufficiently small , there exist at least positive solutions of the following --Laplacian equation, , where is a bounded smooth domain, , , is the critical Sobolev exponent, and is the -Laplacian of .
"Multiplicity of Positive Solutions for a --Laplacian Type Equation with Critical Nonlinearities." Abstr. Appl. Anal. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/829069