Morse index of radial nodal solutions of Hénon type equations in dimension two
نویسندگان
چکیده
منابع مشابه
Morse Index of Radial Nodal Solutions of Hénon Type Equations in Dimension Two
We consider non-autonomous semilinear elliptic equations of the type −∆u = |x|f(u), x ∈ Ω, u = 0 on ∂Ω, where Ω ⊂ R is either a ball or an annulus centered at the origin, α > 0 and f : R → R is C on bounded sets of R. We address the question of estimating the Morse index m(u) of a sign changing radial solution u. We prove that m(u) ≥ 3 for every α > 0 and that m(u) ≥ α + 3 if α is even. If f is...
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ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2017
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199716500425