Entire solutions of superlinear problems with indefinite weights and Hardy potentials
Analysis of PDEs
2018-10-25 v1 Dynamical Systems
Abstract
We provide the structure of regular/singular fast/slow decay radially symmetric solutions for a class of superlinear elliptic equations with an in- definite weight on the nonlinearity f (u, r). In particular we are interested in the case where f is positive in a ball and negative outside, or in the re- versed situation. We extend the approach to elliptic equations in presence of Hardy potentials. By the use of Fowler transformation we study the corresponding dynamical systems, presenting the construction of invariant manifolds when the global existence of solutions is not ensured.
Keywords
Cite
@article{arxiv.1607.08340,
title = {Entire solutions of superlinear problems with indefinite weights and Hardy potentials},
author = {Matteo Franca and Andrea Sfecci},
journal= {arXiv preprint arXiv:1607.08340},
year = {2018}
}