Infima of energy functionals in homotopy classes of mappings
From MaRDI portal
Publication:1073408
DOI10.4310/jdg/1214440023zbMath0588.58017OpenAlexW1559225743WikidataQ115185506 ScholiaQ115185506MaRDI QIDQ1073408
Publication date: 1986
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214440023
homotopy groupsinfimum of functionals[p-dimensional skeleton]
Related Items
On global singularities of Sobolev mappings ⋮ Regularity of \(p\)-energy minimizing maps and \(p\)-superstrongly unstable indices ⋮ Biharmonic almost complex structures ⋮ Topology of Sobolev mappings. II. ⋮ Equivalent statement of the Poincaré conjecture ⋮ Partial regularity for holonomic minimisers of quasiconvex functionals ⋮ Lower bounds on the energy of maps ⋮ Sobolev bundles with Abelian structure groups ⋮ Homotopy classes in Sobolev spaces and energy minimizing maps ⋮ Homotopy classes in Sobolev spaces and the existence of energy minimizing maps ⋮ Density of smooth functions between two manifolds in Sobolev spaces ⋮ Minimizing sequences for conformally invariant integrals of higher order ⋮ Homotopy and homology vanishing theorems and the stability of stochastic flows ⋮ Area minimizing surfaces in homotopy classes in metric spaces ⋮ Brownian motion and the formation of singularities in the heat flow for harmonic maps ⋮ Homotopy types for tamely approximable Sobolev maps between manifolds ⋮ Blow-up and global existence for heat flows of harmonic maps ⋮ Topological methods for the Ginzburg-Landau equations ⋮ Area and the area formula ⋮ Lipschitz minimality of the multiplication maps of unit complex, quaternion and octonion numbers ⋮ Topological and analytical properties of Sobolev bundles. II. Higher dimensional cases ⋮ Smooth maps minimizing the energy and the calibrated geometry ⋮ Existence of extrinsic polyharmonic maps in critical dimensions ⋮ Approximations in trace spaces defined between manifolds ⋮ Approximation in Sobolev spaces of nonlinear expressions involving the gradient ⋮ A variational problem related to conformal maps ⋮ A characterization of maps in \(H^ 1(B^ 3,S^ 2)\) which can be approximated by smooth maps ⋮ Path and quasi-homotopy for Sobolev maps between manifolds ⋮ Unnamed Item ⋮ The approximation problem for Sobolev maps between two manifolds ⋮ Blow-up solutions to Landau-Lifshitz-Maxwell systems ⋮ The Dirichlet integral for mappings between manifolds: Cartesian currents and homology ⋮ Nonexistence of Stable Harmonic Maps To and From Certain Homogeneous Spaces and Submanifolds of Euclidean Space ⋮ A variational problem for pullback metrics ⋮ Sobolev mappings, degree, homotopy classes and rational homology spheres ⋮ Obstruction theory for the approximation and the deformation problems for Sobolev mappings ⋮ Local minimizers and quasiconvexity -- the impact of topology ⋮ Polyhedra as domains of harmonic maps ⋮ Topology and Sobolev spaces ⋮ Sobolev Mappings between Manifolds and Metric Spaces ⋮ Density in \(W^{s, p}(\operatorname{\Omega}; N)\) ⋮ Density of Lipschitz mappings in the class of Sobolev mappings between metric spaces ⋮ Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps ⋮ Strong density results in trace spaces of maps between manifolds ⋮ Topological and analytical properties of Sobolev bundles. I: The critical case ⋮ p-harmonic obstacle problems. I: Partial regularity theory ⋮ p-harmonic obstacle problems. II: Extensions of maps and applications ⋮ Higher order intrinsic weak differentiability and Sobolev spaces between manifolds ⋮ Density of smooth maps for fractional Sobolev spaces \(W^{s, p}\) into \(\ell\) simply connected manifolds when \(s \geq 1\) ⋮ Homomorphism between homotopy groups induced by elements of the Sobolev space \(L^{1,p}(M,N)\) ⋮ Graphs of finite mass which cannot be approximated in area by smooth graphs ⋮ Quantitative characterization of traces of Sobolev maps
