| Abstract: |
| n this talk, we aim to investigate the existence of solutions for a singular elliptic equation of (N,q)-Laplacian type on a non-compact, complete N-dimensional Riemannian manifold with nonnegative Ricci curvature and Euclidean volume growth. The nonlinearity appearing in the problem exhibits exponential critical growth in the Moser-Trudinger sense. By combining variational arguments with a Lions-type compactness principle, we guarantee the existence of a non-zero, isometry-invariant solution for such problems. |
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