Nonlinear elliptic problems in annular domains
نویسندگان
چکیده
منابع مشابه
Nodal solutions of nonlinear elliptic Dirichlet problems on radial domains
Let Ω ⊂ R be a ball or an annulus and f : R → R absolutely continuous, superlinear, subcritical, and such that f(0) = 0. We prove that the least energy nodal solution of −∆u = f(u), u ∈ H 0 (Ω), is not radial. We also prove that Fučik eigenfunctions, i. e. solutions u ∈ H 0 (Ω) of −∆u = λu − μu−, with eigenvalue (λ, μ) on the first nontrivial curve of the Fučik spectrum, are not radial. A relat...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1987
ISSN: 0022-0396
DOI: 10.1016/0022-0396(87)90123-9