We prove existence, multiplicity, and bifurcation results for p-Laplacian problems involving critical Hardy–Sobolev exponents. Our results are mainly for the case $$\lambda \ge \lambda _1$$ λ ≥ λ 1 and extend results in the literature for $$0< \lambda < \lambda _1$$ 0 < λ < λ 1 . In the absence of a direct sum decomposition, we use critical point theorems based on a cohomological index and a related pseudo-index.
Nonlinear Differential Equations and Applications NoDEA – Springer Journals
Published: Jun 4, 2018
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