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math.FA2024
condition and regularity of the inverse
Anna Doležalová, Stanislav Hencl, Jani Onninen
Let be a Sobolev mapping of finite distortion between planar domains and , satisfying the condition and coinciding with a homeomorphism near $\p…
math.CV2024
Complex Harmonic Capacitors
Tadeusz Iwaniec, Jani Onninen, Teresa Radice
The concept of complex harmonic potential in a doubly connected condenser (capacitor) is introduced as an analogue of the real-valued potential of an electrostatic vector field. In…
math.CV2024
Linear distortion and rescaling for quasiregular values
Ilmari Kangasniemi, Jani Onninen
Sobolev mappings exhibiting only pointwise quasiregularity-type bounds have arisen in various applications, leading to a recently developed theory of quasiregular values. In this a…