Integrable boundaries and fractals for Hölder classes; the Gauss-Green theorem

DOI10.1007/s00526-016-1031-6zbMath1356.26004OpenAlexW2500100006MaRDI QIDQ502259

Yevgeniy Guseynov

Publication date: 3 January 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-016-1031-6

zbMATH Keywords

fractalsGauss-Green theoremHölder classessurface integrals

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Fractals (28A80) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Related Items (6)

Electromagnetic Riemann-Hilbert boundary value problem in fractal domains of \(\mathbb{R}^2\) ⋮ Summability on non-rectifiable Jordan curves ⋮ Torsions and integrations ⋮ The Gauss-Green theorem in stratified groups ⋮ Dirichlet type problem for 2D quaternionic time-harmonic Maxwell system in fractal domains ⋮ Functions of bounded fractional variation and fractal currents

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