Semilinear fractal problems: approximation and regularity results

DOI10.1016/J.NA.2012.08.020zbMath1261.31004OpenAlexW2015600999MaRDI QIDQ1937589

Paola Vernole, Maria Rosaria Lancia

Publication date: 1 March 2013

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.08.020

zbMATH Keywords

semilinear elliptic equationstransmission problemsKoch-type fractal layer

Mathematics Subject Classification ID

Dirichlet forms (31C25) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

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Fractal snowflake domain diffusion with boundary and interior drifts ⋮ Unnamed Item ⋮ Transmission problems for the fractional \(p\)-Laplacian across fractal interfaces ⋮ Semilinear evolution problems with Ventcel-type conditions on fractal boundaries ⋮ Convergence and density results for parabolic quasi-linear Venttsel' problems in fractal domains ⋮ Density results for energy spaces on some fractafolds ⋮ Quasi-linear Venttsel' problems with nonlocal boundary conditions on fractal domains ⋮ Convergence of fractional diffusion processes in extension domains ⋮ Fractional \((s,p)\)-Robin-Venttsel' problems on extension domains ⋮ Friedrichs inequality in irregular domains ⋮ Venttsel' problems in fractal domains ⋮ Singular \(p\)-homogenization for highly conductive fractal layers

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