2017/05/31 by Vincenzo Ambrosio, Teresa Isernia
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Combinatorics #Fractional Laplacian #Function (biology) #Laplace operator #Mathematical analysis #Mathematical physics #Mathematics #Multiplicity (mathematics) #Nonlinear Partial Differential Equations #Type (biology) #math.AP
paper · pdf · doi:10.1002/mma.4633
Mathematical Methods in the Applied Sciences (2017)
openalex publication_date 2017/10/27 · arxiv created 2017/10/28 · openalex created_date 2017/11/10 · arxiv updated 2017/12/07 · openalex updated_date 2026/08/05
In this paper, we deal with the multiplicity and concentration of positive solutions for the following fractional Schrödinger‐Kirchhoff type equation urn:x-wiley:mma:media:mma4633:mma4633-math-0001 where ε >0 is a small parameter, is the fractional Laplacian, M is a Kirchhoff function, V is a continuous positive potential, and f is a superlinear continuous function with subcritical growth. By using penalization techniques and Ljusternik‐Schnirelmann theory, we investigate the relation between the number of positive solutions with the topology of the set where the potential attains its minimum.