We study a class of elliptic problems involving weighted p-Laplace operators, critical growths and Hardy potentials. The main motivation lies in some Hardy–Sobolev type inequalities that were proved by Caffarelli–Kohn–Nirenberg in 1984.
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Roberta Musina, Existence and multiplicity results for a weighted <em>p</em>-Laplace equation involving Hardy potentials and critical nonlinearities. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 20 (2009), no. 2, pp. 127–143DOI 10.4171/RLM/537