Mini-Max Algorithm via Pohozaev Manifold
Analysis of PDEs
2019-05-10 v1 Numerical Analysis
Abstract
A new algorithm for solving non-homogeneous asymptotically linear and superlinear problems is proposed. The ground state solution of the problem, which in general is obtained as a mini-max of the associated functional, is obtained as the minimum of the functional constrained to the Pohozaev manifold instead. Examples are given of the use of this method for finding numerical radially symmetric positive solutions depending on various parameters.
Cite
@article{arxiv.1905.03324,
title = {Mini-Max Algorithm via Pohozaev Manifold},
author = {L. A. Maia and D. Raom and R. Ruviaro and Y. D. Sobral},
journal= {arXiv preprint arXiv:1905.03324},
year = {2019}
}
Comments
26 pages