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• Sobolev homeomorphic extensions onto John domains 

  Koskela, Pekka; Koski, Aleksis; Onninen, Jani (Elsevier Inc., 2020)

  Given the planar unit disk as the source and a Jordan domain as the target, we study the problem of extending a given boundary homeomorphism as a Sobolev homeomorphism. For general targets, this Sobolev variant of the ...

• Controlled diffeomorphic extension of homeomorphisms 

  Koskela, Pekka; Wang, Zhuang; Xu, Haiqing (Pergamon Press, 2018)

  Let Ω be an internal chord-arc Jordan domain and φ:S→∂Ω be a homeomorphism. We show that φ has finite dyadic energy if and only if φ has a diffeomorphic extension h:D→Ω which has finite energy.

• Sobolev homeomorphic extensions 

  Koski, Aleksis; Onninen, Jani (European Mathematical Society, 2021)

  Let X and Y be ℓ-connected Jordan domains, ℓ∈N, with rectifiable boundaries in the complex plane. We prove that any boundary homeomorphism φ:∂X→∂Y admits a Sobolev homeomorphic extension h:X¯→Y¯ in W1,1(X,C). If instead X ...

• Weighted estimates for diffeomorphic extensions of homeomorphisms 

  Xu, Haiqing (European Mathematical Society Publishing House, 2020)

  Let Ω⊂R2Ω⊂R2 be an internal chord-arc domain and φ:S1→∂Ωφ:S1→∂Ω be a homeomorphism. Then there is a diffeomorphic extension h:D→Ωh:D→Ω of φφ. We study the relationship between weighted integrability of the derivatives of ...

• Homeomorphisms of finite distortion : from the unit ball to cusp domains in R^{3} 

  Zhu, Zheng (2016)