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Mountain pass solutions for a double-well energy

journal contribution
posted on 2023-06-07, 19:28 authored by Kewei Zhang
We establish the existence of a mountain pass solution for a variational integral involving a quasiconvex function with a double-well structure in the geometrically linear elasticity setting. We show that under small dead-load perturbations, the Neumann boundary value problem has at least three solutions, a global minimizer, a local minimizer and a mountain pass solution. We show that our variational integral satisfies a Weak Palais–Smale condition (WPS) hence the mountain pass lemma applies.

History

Publication status

  • Published

Journal

Journal of Differential Equations

ISSN

0022-0396

Publisher

Elsevier

Issue

2

Volume

182

Page range

490-510

Pages

20.0

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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