What is it about?

We develop an abstract linking result to deal with indefinite problems. This result provides a weak solution for elliptic equations when we are able to establish a linking geometry for the problem. Spectral theory is te key to get such a structure.

Featured Image

Why is it important?

We prove a result which can provide a solution for several indefinite problems and develop a new approach for solving Nonlinear Schrodinger Equations with sign changing potentials.


This work is the first of a various we intend to do following this line of investigation. We have learned a lot in our collaboration while we produced this paper.

Mayra Soares
Pontifícia Universidade Católica do Rio de Janeiro

Read the Original

This page is a summary of: An Abstract Linking Theorem Applied to Indefinite Problems Via Spectral Properties, Advanced Nonlinear Studies, August 2019, De Gruyter,
DOI: 10.1515/ans-2019-2041.
You can read the full text:



The following have contributed to this page