On Sobolev inequalities on singular and combined structures

DOI10.1007/S10958-018-3885-YzbMath1395.35005OpenAlexW2805908025MaRDI QIDQ1661634

S. E. Pastukhova

Publication date: 16 August 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3885-y

zbMATH Keywords

singular measureperiodic singular structures

Mathematics Subject Classification ID

Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

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• Estimates of the Nash-Aronson type for degenerating parabolic equations
• Homogenization of scalar problems for a combined structure with singular or thin reinforcement
• Operator estimates in homogenization theory
• Connectedness and homogenization. Examples of fractal conductivity
• On an extension of the method of two-scale convergence and its applications
• ASYMPTOTIC PROBLEMS CONNECTED WITH THE HEAT EQUATION IN PERFORATED DOMAINS
• Homogenization of elasticity problems on singular structures
• Homogenization of elasticity problems on periodic composite structures

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