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Radial Solutions To A Dirichlet Problem Involving Critical Exponents When N=6, Alfonso Castro, Alexandra Kurepa
Radial Solutions To A Dirichlet Problem Involving Critical Exponents When N=6, Alfonso Castro, Alexandra Kurepa
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In this paper we show that, for each λ>0, the set of radially symmetric solutions to the boundary value problem
-Δu(x) = λu(x) + u(x)|u(x)|, x ε B := {x ε R6:|x|<1},
u(x) = 0, x ε ∂B
is bounded. Moreover, we establish geometric properties of the branches of solutions bifurcating from zero and from infinity.