Continuous spectrum of Steklov nonhomogeneous elliptic problem
Mostafa Allaoui · Opuscula Mathematica · 2015
By applying two versions of the mountain pass theorem and Ekeland's variational principle, we prove three different situations of the existence of solutions for the following Steklov problem:in Ω,where Ω ⊂ R N (N ≥ 2) is a bounded smooth domain and p, q: Ω → (1, +∞) are continuous functions.