NON-TRIVIAL SOLUTIONS FOR p-HARMONIC TYPE EQUATIONS VIA A LOCAL MINIMUM THEOREM FOR FUNCTIONALS
نویسندگان
چکیده
p∗ := ⎧⎨ ⎩ pN N − 2p if p < N 2 , +∞, if p ≥ N2 . Regarding the function a : Ω × R → R, we assume that A : Ω̄× R → R, A(x, ξ) is continuous in Ω̄ × R, with continuous derivative with respect to ξ, a = DξA = A′, having the following properties: Received November 9, 2014, accepted March 5, 2015. Communicated by Eiji Yanagida. 2010 Mathematics Subject Classification: 35J35, 35J60.
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تاریخ انتشار 2015