Equations involving the $p$-Laplacian with a term in the critical growth range are considered. Existence results are obtained under minimal assumptions on the lower order perturbation. The problem is studied by means of variational methods; in particular, a problem with linking geometry is treated thanks to the orthogonalization technique introduced in .
"Some results on $p$-Laplace equations with a critical growth term." Differential Integral Equations 11 (2) 311 - 326, 1998. https://doi.org/10.57262/die/1367341073