scholarly journals Elliptic Weighted Problem with Indefinite Asymptotically Linear Nonlinearity

2021 ◽  
Vol 17 (1) ◽  
pp. 13-21
Author(s):  
Hanadi Zahed ◽  
Laila A. Alnaser
Keyword(s):  
Asymptotically Linear

Existence of asymptotically linear Dirichlet problem

2001 ◽  
Vol 44 (7) ◽  
pp. 909-918 ◽  
Author(s):  
Huan-Song Zhou
Keyword(s):  
Dirichlet Problem ◽  
Asymptotically Linear

scholarly journals Periodic solutions for a fractional asymptotically linear problem

2018 ◽  
Vol 149 (03) ◽  
pp. 593-615
Author(s):  
Vincenzo Ambrosio ◽  
Giovanni Molica Bisci
Keyword(s):  
Neumann Boundary ◽  
Index Theory ◽  
Careful Analysis ◽  
Asymptotically Linear ◽  
Existence And Multiplicity ◽  
Degenerate Elliptic ◽  
Subcritical Nonlinearity ◽  
Fractional Spaces ◽  
Non Local ◽  
Asymptotically Linear Problem

We study the existence and multiplicity of periodic weak solutions for a non-local equation involving an odd subcritical nonlinearity which is asymptotically linear at infinity. We investigate such problem by applying the pseudo-index theory developed by Bartolo, Benci and Fortunato [11] after transforming the problem to a degenerate elliptic problem in a half-cylinder with a Neumann boundary condition, via a Caffarelli-Silvestre type extension in periodic setting. The periodic nonlocal case, considered here, presents, respect to the cases studied in the literature, some new additional difficulties and a careful analysis of the fractional spaces involved is necessary.

Sign in / Sign up

Export Citation Format

Share Document