The existence of multiple topologically distinct solutions to \(\sigma_{2, p}\)-energy

DOI10.12775/tmna.2023.010MaRDI QIDQ6149233

Mohammad Sadegh Shahrokhi-Dehkordi, Mojgan Taghavi

Publication date: 5 February 2024

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/topological-methods-in-nonlinear-analysis/volume-62/issue-2/The-existence-of-multiple-topologically-distinct-solutions-to-sigma_2p-energy/10.12775/TMNA.2023.010.full

zbMATH Keywords

Euler-Lagrange equationsgeneralised twistsgeometrized Skyrme modelLie group \(\mathrm{SO}(n)\)

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie groups to the sciences; explicit representations (22E70) PDEs in connection with quantum mechanics (35Q40) PDEs in connection with mechanics of deformable solids (35Q74) More general nonquantum field theories in mechanics of particles and systems (70S20) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24) PDEs on manifolds (35R01) Boundary value problems for second-order elliptic systems (35J57)

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