Lipschitz continuity of quasiconformal solutions of the non-homogeneous Yukawa equations
The main aim of this paper is to establish the Lipschitz, coLipschitz and biLipschitz continuity of quasiconformal solutions of the non-homogeneous Yukawa equations f z z ¯ ( z ) = ( μ ( z ) + τ ( z ) f z ( z ) ) f ( z ) with respect to the hyperbolic metric and the quasihyperbolic metric, respectiv...
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| Veröffentlicht in: | Analysis and mathematical physics 2022-02, Vol.12 (1), Article 9 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The main aim of this paper is to establish the Lipschitz, coLipschitz and biLipschitz continuity of quasiconformal solutions of the non-homogeneous Yukawa equations
f
z
z
¯
(
z
)
=
(
μ
(
z
)
+
τ
(
z
)
f
z
(
z
)
)
f
(
z
)
with respect to the hyperbolic metric and the quasihyperbolic metric, respectively. As applications, the corresponding area distortion of measurable sets under the quasiconformal solutions of the mentioned Yukawa equations is also discussed. |
|---|---|
| ISSN: | 1664-2368 1664-235X |
| DOI: | 10.1007/s13324-021-00618-w |