Perturbations near resonance for the p-Laplacian in ℝN
We study a multiplicity result for the perturbed p-Laplacian equation −Δpu−λg(x)|u|p−2u=f(x,u)+h(x) in ℝN, where 1<p<N and λ is near λ 1, the principal eigenvalue of the weighted eigenvalue problem −Δpu=λg(x)|u|p−2u in ℝN. Depending on which side λ is from λ 1, we prove the existence of one or...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337502203073 |
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