Fredholm Alternative for the p-Laplacian in Higher Dimensions
نویسندگان
چکیده
منابع مشابه
A COUNTEREXAMPLE TO THE FREDHOLM ALTERNATIVE FOR THE p-LAPLACIAN
The following nonhomogeneous Dirichlet boundary value problem for the one-dimensional p-Laplacian with 1 < p < ∞ is considered: −(|u′|p−2u′)′ − λ|u|p−2u = f(x) for 0 < x < T ; u(0) = u(T ) = 0, (*) where f ≡ 1 + h with h ∈ L∞(0, T ) small enough. Solvability properties of Problem (*) with respect to the spectral parameter λ ∈ R are investigated. We focus our attention on some fundamental differ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2001
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7608