A note on the existence and multiplicity of solutions for sublinear fractional problems
A note on the existence and multiplicity of solutions for sublinear fractional problems
In this paper, we study the existence of weak solutions for fractional p-Laplacian equations with sublinear growth and oscillatory behavior as the following $$ \begin{aligned} &\mathcal{L}^{p}_{K}u=\lambda f(x,u)&&\text{in }\Omega, \\ &u=0&&\text{in }\mathbb{R}^{N}\setminus\Omega, \end{aligned} $$ where $\mathcal{L}^{p}_{K} $ is a nonlocal operator with singular kernel, Ω is an open bounded smooth domain …