Topology of twists, extremising twist paths and multiple solutions to the nonlinear system in variation \(\mathscr{L}[u] = \nabla \mathscr{P}\)

DOI10.12775/TMNA.2019.076zbMath1441.35119OpenAlexW2986180360WikidataQ114058233 ScholiaQ114058233MaRDI QIDQ2178787

George Morrison, Ali Taheri

Publication date: 11 May 2020

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

Full work available at URL: https://projecteuclid.org/euclid.tmna/1573441228

zbMATH Keywords

multiple solutionsnonlinear elliptic systemsincompressible twistsclosed geodesics on SO\((n)\)Hopf degreerestricted energiesself-maps of spheres

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence theories for free problems in two or more independent variables (49J10) Variational methods for elliptic systems (35J50) Analysis on real and complex Lie groups (22E30) Group actions and symmetry properties (58D19) Geodesics in global differential geometry (53C22) Quasilinear elliptic equations (35J62) Boundary value problems for second-order elliptic systems (35J57)

Related Items

On multiple solutions to a family of nonlinear elliptic systems in divergence form coupled with an incompressibility constraint, The interplay between two Euler-Lagrange operators relating to the nonlinear elliptic system \(\Sigma [(u, {\mathscr{P}}), \varOmega\)], On the existence and multiplicity of topologically twisting incompressible $H$-harmonic maps and a structural H-condition

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