Abstract
We study a multiplicity result for the perturbed -Laplacian equation , where and is near , the principal eigenvalue of the weighted eigenvalue problem in . Depending on which side is from , we prove the existence of one or three solutions. This kind of result was firstly obtained by Mawhin and Schmitt (1990) for a semilinear two-point boundary value problem.
Citation
To Fu Ma. Maurício Luciano Pelicer. "Perturbations near resonance for the $p$-Laplacian in $\mathbb{R}^N$." Abstr. Appl. Anal. 7 (6) 323 - 334, 25 June 2002. https://doi.org/10.1155/S1085337502203073
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