Fredholm Alternative for the p-Laplacian
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Pavel Drábek; Gabriela Holubová
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Article
📅
2001
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Elsevier Science
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English
⚖ 115 KB
In this paper we characterize the set of all right-hand sides h ∈ C for which the boundary value problem . Here 1 < p < 2, and λ 1 > 0 is the first eigenvalue of the p-Laplacian. In particular, we prove that for hϕ 1 = 0 this problem is solvable and the energy functional is unbounded from below.