• DOI:10.1016/S0294-1449(97)80142-4
Corpus ID: 120654212

On the existence of a positive solution of semilinear elliptic equations in unbounded domains

@article{Bahri1997OnTE,
  title={On the existence of a positive solution of semilinear elliptic equations in unbounded domains},
  author={A. Bahri and P. Lions},
  journal={Annales De L Institut Henri Poincare-analyse Non Lineaire},
  year={1997},
  volume={14},
  pages={365-413}
}

A. Bahri, P. Lions

Published 1997

Mathematics

Annales De L Institut Henri Poincare-analyse Non Lineaire

View via Publisher

numdam.org

Save to Library

Create Alert

Cite

Launch Research Feed

We prove here the existence of a positive solution, under general conditions, for semilinear elliptic equations in unbounded domains with a variational structure. The solutions we build cannot be obtained in general by minimization problems. And even if Palais-Smale condition is violated, precise estimates on the losses of compactness are obtained by the concentration-compactness method which enables us to apply the theory of critical points at infinity.