Photo by scottwebb from unsplash
This paper focuses on the scalar field equation Dx2αu−νu−uyy=f(u), where α ∈ (0, 1), (x,y)∈RN×(−L,L)⊂RN+1, with N ≥ 1 and Dx2α stands for the fractional Laplacian. By using several variational… Click to show full abstract
This paper focuses on the scalar field equation Dx2αu−νu−uyy=f(u), where α ∈ (0, 1), (x,y)∈RN×(−L,L)⊂RN+1, with N ≥ 1 and Dx2α 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.
Keywords:
unbounded domain;
solutions fractional;
existence solutions;
fractional equation;
equation;
equation unbounded
Journal Title: Journal of Mathematical Physics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Mathematical Physics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!