This paper deals with the -Laplacian equation involving the critical Sobolev-Hardy exponent. Firstly, a principle of concentration compactness in space is established, then by applying it we obtain the existence of solutions for the following -Laplacian problem: where is a bounded domain, , , and satisfies -growth conditions.
"Existence of Solutions for the -Laplacian Problem with the Critical Sobolev-Hardy Exponent." Abstr. Appl. Anal. 2012 1 - 17, 2012. https://doi.org/10.1155/2012/894925