Multiplicity results and qualitative properties for semilinear elliptic problems with Neumann boundary conditions
Analysis of PDEs
2018-01-08 v1
Abstract
In this paper we study multiplicity and qualitative behavior of solutions for semilinear elliptic problems with neumann boundary condition and asymptotically linear smooth nonlinearity. We provide sufficient conditions on the number of eigenvalues the derivative of the nonlinearity crosses to guarantee existence of at least five nontrivial solutions. The techniques we use are a combination of minimization, Leray-Schauder degree, Morse Theory and Reduction method a la Castro-Lazer.
Keywords
Cite
@article{arxiv.1801.01868,
title = {Multiplicity results and qualitative properties for semilinear elliptic problems with Neumann boundary conditions},
author = {Oscar Agudelo and Santiago Correa and Daniel Restrepo and Carlos Velez},
journal= {arXiv preprint arXiv:1801.01868},
year = {2018}
}