A note on the existence and multiplicity of solutions for sublinear fractional problems

作者：Fu, Yongqiang^*

来源：Boundary Value Problems, 2017, 2017(1): 171.

DOI：10.1186/s13661-017-0903-9

• fractional p-Laplacian problem
• variational method
• multiple solutions

In this paper, we study the existence of weak solutions for fractional p-Laplacian equations with sublinear growth and oscillatory behavior as the following
L-K(p) u = lambda f(x, u) in Omega,
u = 0 in R-N \ Omega,
where L-K(p) is a nonlocal operator with singular kernel, Omega is an open bounded smooth domain of R-N. Our purpose is to generalize the known results for fractional Laplacian equations to fractional p-Laplacian equations.

• 出版日期2017-11-17
• 单位哈尔滨工业大学