Nonlocal eigenvalue problems with variable exponent

Abstract

We consider the nonlocal eigenvalue problem of the following form

Keywords

• generalized fractional sobolev spaces with variable exponent
• nonlocal and pseudodifferential operators
• eigenvalue problem
• ekeland's variational principle
• 2010 mathematics subject classiffication. primary: 35r11
• 35p30
• 35j20
• 35s05