Scale limit of a variational inequality modeling diffusive flux in a domain with small holes and strong adsorption in case of a critical scaling

DOI10.1134/S1064562411020219zbMath1233.35104OpenAlexW2065835586MaRDI QIDQ656287

Tatiana A. Shaposhnikova, Willi Jäger, Maria Neuss-Radu

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562411020219

zbMATH Keywords

Laplace operatorasymptotic behavior of solutionselliptic variational inequalitydomains periodically perforated by balls

Mathematics Subject Classification ID

Variational inequalities (49J40) Asymptotic behavior of solutions to PDEs (35B40) PDEs with low regular coefficients and/or low regular data (35R05) Weak solutions to PDEs (35D30) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (2)

Homogenization for the \(p\)-Laplace operator in perforated media with nonlinear restrictions on the boundary of the perforations: A critical case ⋮ Homogenization of variational inequalities for the \(p\)-Laplace operator in perforated media along manifolds

Cites Work

• Averaging the diffusion equation in a porous medium with weak absorption
• On some homogenization problems in perforated domains with nonlinear boundary conditions
• Some homogenization problems for the system of elasticity with nonlinear boundary conditions in perforated domains

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