• 1
  • 1
  • 2
  • 6
  • 5
  • 6
  • 3
  • 4
IPM
30
YEARS OLD

“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 16302
School of Mathematics
  Title:   Existence of solutions for a fractional equation in an unbounded domain
  Author(s):  Amin Esfahani
  Status:   Published
  Journal: J. Math. Phys.
  Year:  2020
  Pages:   DOI: 10.1063/1.5121762
  Supported by:  IPM
  Abstract:
This paper focuses on the scalar field equation D^2α_x u−νu−u_yy=f(u), where α∈(0,1), (x,y)∈R^N×(−L,L)⊂R^N+1, with N≥1 and D^2α_ x stands for the fractional Laplacian. By using several variational methods, we establish the existence, long behavior, and multiplicity of solutions of this equation under the Dirichlet and Neumann boundary conditions.

Download TeX format
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right