id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-268	Li, Xiaoyan; Yang, Bian-Xia	Existence and multiplicity for radially symmetric solutions to Hamilton-Jacobi-Bellman equations	2021	19	.pdf	application/pdf	8316	421	79	Assuming (A5) we exclude the case when the projection of C onto the y-axis is a singleton, which is equivalent to C = {(a1, a2)}. Suppose that f satisfies (A1) and (A2). (a) If f0, f∞ ∈ (0,+∞) with f0 6= f∞, then for k ∈ N, µ ∈ (min{µ ν k f0 , µνk f∞ },max{µ ν k f0 , µνk f∞ }), problem (1.7) has at least one nodal solution uνk, such that νuνk has exactly k − 1 simple zeros in (0, 1) and is positive near 0, where ν ∈ {+,−}.	cache/ejde-268.pdf	txt/ejde-268.txt