Abstract
We prove existence, multiplicity, and bifurcation results for p-Laplacian problems involving critical Hardy–Sobolev exponents. Our results are mainly for the case \(\lambda \ge \lambda _1\) and extend results in the literature for \(0< \lambda < \lambda _1\). In the absence of a direct sum decomposition, we use critical point theorems based on a cohomological index and a related pseudo-index.
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Perera, K., Zou, W. \(\varvec{p}\)-Laplacian problems involving critical Hardy–Sobolev exponents. Nonlinear Differ. Equ. Appl. 25, 25 (2018). https://doi.org/10.1007/s00030-018-0517-7
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DOI: https://doi.org/10.1007/s00030-018-0517-7