Saddle point solutions for non-local elliptic operators

2012/10/31 by Alessio Fiscella, Fiscella, Alessio
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1210.8401

arxiv created 2013/09/23 · arxiv updated 2013/09/24

Abstract

The paper deals with equations driven by a non-local integrodifferential operator \mathcal L_K with homogeneous Dirichlet boundary conditions. These equations have a variational structure and we find a solution for them using the Saddle Point Theorem.

Related

• Multiplicity results for non-local operators of elliptic type
• A class of elliptic equations involving a general nonlocal integrodifferential operators with sign-changing weight functions
• Nonlinear Dirichlet problem for the nonlocal anisotropic operator L_K
• The Dirichlet problem for nonlocal operators
• Multiplicity results for elliptic problems involving nonlocal integrodifferential operators without Ambrosetti-Rabinowitz condition