Multiple positive solutions of superlinear elliptic problems with sign-changing weight

By Denis Bonheure, J. Gomes, P. Habets. 2005

46 citations recorded by the source corpus.

We study the existence of multiple positive solutions for a superlinear elliptic PDE with a sign-changing weight. Our approach is variational and relies on classical critical point theory on smooth manifolds. A special care is paid to the localization of minimax critical points.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/8a047bbbd582ac3c946cfaffd68b6af6cd395aa3