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Nonresonance for a one-dimensional -Laplacian with strong singularity

✍ Scribed by Chan-Gyun Kim; James R. Ward

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
219 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this work, we give nonresonance conditions for a singular quasilinear two-point boundary value problem

, h is a nonnegative measurable function on (0, 1), and k : (0, 1) Γ— R Γ— R β†’ R is a CarathΓ©odory function dominated by K ∈ L 1 (0, 1), i.e., |k(t, x, y)| ≀ K (t) for all (t, x, y) ∈ (0, 1) Γ— R Γ— R.

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