Bifurcation for a semilinear elliptic equation on ℛN with radially symmetric coefficients
Tóm tắt
We consider the semilinear eigenvalue problem
$$ - \Delta u - q(x)\left| u \right|^\sigma u = \lambda \cdot u$$
on ℛN (N ≥ 2) (N≥2) and investigate the question under which conditions on the radially symmetric function q, λ=0 is a bifurcation point for this equation in H1, In H2 and in Lp for 2≤p≤+∞.
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