Mappings with integrable dilatation in higher dimensions

DOI10.1090/S0273-0979-1995-00583-5zbMath0857.30020arXivmath/9504225MaRDI QIDQ4884441

Enrique Villamor, Juan J. Manfredi

Publication date: 12 March 1997

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9504225

zbMATH Keywords

space mappingsintegrable dilatation

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Degenerate elliptic equations (35J70)

Related Items

Openness and discreteness for mappings of finite distortion, Cusped surfaces and boundary behavior of mappings of finite distortion, Differentiability in the Sobolev space \(W^{1,n-1}\), On the lower order of mappings with finite length distortion, Optimal assumptions for discreteness, Topological properties of mappings with finite distortion on Carnot groups, Mappings of BMO-distortion and Beltrami-type operators, Mappings with bounded \((P,Q)\)-distortion on Carnot groups, Slow mappings of finite distortion, Mappings with integrable dilatation in higher dimensions, Composition operators in weighted Sobolev spaces on Carnot groups, Mappings of finite distortion: the degree of regularity, Quasiharmonic fields., Mappings of bounded mean distortion and cohomology, Toward the theory of ring \(Q\)-homeomorphisms, Positive results on discreteness and openness for mappings of finite distortion, Deformations of finite conformal energy: Boundary behavior and limit theorems, ACL and differentiability of the open discrete ring mappings, The Väisälä inequality for mappings with finite length distortion, Mappings with finite length distortion, Mappings of finite distortion from generalized manifolds, Mappings with finite distortion and arbitrary Jacobian sign, Geometric branched covers between generalized manifolds

Cites Work

• Quasiconformal 4-manifolds
• Regularity properties of deformations with finite energy
• Convexity conditions and existence theorems in nonlinear elasticity
• Sobolev mappings with integrable dilatations
• Weakly monotone functions
• On a new class of elastic deformations not allowing for cavitation
• Analytical foundations of the theory of quasiconformal mappings in R^n
• Global invertibility of Sobolev functions and the interpenetration of matter
• On Mappings with Integrable Dilatation
• Mappings with integrable dilatation in higher dimensions
• The Extension of Interiority, With Some Applications